Welcome to HEOM-QUICK Website

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The HEOM-QUICK program implements the formally exact HEOM formalism for fermionic open systems. Its simulation results capture the combined effects of system-environment dissipation, many-body interactions, and non-Markovian memory in a nonperturbative manner.

The Hierarchical Equations of Motion for QUantum Impurity with a Correlated Kernel (HEOM-QUICK) is a program which allows for an accurate and universal characterization of strongly correlated quantum impurity systems. The HEOM-QUICK program has been employed to explore a wide range of static and dynamic properties of various types of quantum impurity systems, including charge or spin qubits, quantum dots, molecular junctions, and so on. It has also been utilized in conjunction with first-principles methods such as density-functional theory methods to study the correlated electronic structure of adsorbed magnetic molecules.

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The advantages in its accuracy, efficiency, and universality have made the HEOM-QUICK program a reliable and versatile tool for theoretical investigations on strong electron correlation effects in complex materials.

——HEOM-QUICK: a program for accurate, efficient, and universal characterization of strongly correlated quantum impurity systems

LvZhou Ye, Xiaoli Wang, Dong Hou, Rui-Xue Xu, Xiao Zheng and YiJing Yan

WIREs Computational Molecular Science,(2016). https://doi.org/10.1002/wcms.1269

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Applications

Molecular molds for regularizing Kondo states at atom/metal interfaces
Xiangyang Li, Liang Zhu, Bin Li, Jingcheng Li, Pengfei Gao, Longqing Yang, Aidi Zhao, Yi Luo, Jianguo Hou, Xiao Zheng, Bing Wang and Jinlong Yang
Nature Communications 11, 2566 (2020)
Adsorption of magnetic transition metal atoms on a metal surface leads to the formation of Kondo states at the atom/metal interfaces. However, the significant influence of surrounding environment presents challenges for potential applications. In this work, we realize a novel strategy to regularize the Kondo states by moving a CoPc molecular mold on an Au(111) surface to capture the dispersed Co adatoms. The symmetric and ordered structures of the atom-mold complexes, as well as the strong dπ–π bonding between the Co adatoms and conjugated isoindole units, result in highly robust and uniform Kondo states at the Co/Au(111) interfaces. Even more remarkably, the CoPc further enables a fine tuning of Kondo states through the molecular-mold-mediated superexchange interactions between Co adatoms separated by more than 12 Å. Being highly precise, efficient and reproducible, the proposed molecular mold strategy may open a new horizon for the construction and control of nano-sized quantum devices.

 

Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments
Hou-Dao Zhang, Lei Cui, Hong Gong, Rui-Xue Xu, Xiao Zheng and YiJing Yan
Journal of Chemical Physical 152, 064107 (2020)
The hierarchical equations of motion (HEOM) method has become one of the most popular methods for the studies of the open quantum system. However, its applicability to systems at ultra-low temperatures is largely restrained by the enormous computational cost, which is caused by the numerous exponential functions required to accurately characterize the non-Markovian memory of the reservoir environment. To overcome this problem, a Fano spectrum decomposition (FSD) scheme has been proposed recently [Cui et al., J. Chem. Phys. 151, 024110 (2019)], which expands the reservoir correlation functions using polynomial-exponential functions and hence greatly reduces the size of the memory basis set. In this work, we explicitly establish the FSD-based HEOM formalisms for both bosonic and fermionic environments. The accuracy and efficiency of the FSD-based HEOM are exemplified by the calculated low-temperature dissipative dynamics of a spin-boson model and the dynamic and static properties of a single-orbital Anderson impurity model in the Kondo regime. The encouraging numerical results highlight the practicality and usefulness of the FSD-based HEOM method for general open systems at ultra-low temperatures.

 

Highly efficient and accurate sum-over-poles expansion of Fermi and Bose functions at near zero temperatures: Fano spectrum decomposition scheme
Lei Cui, Hou-Dao Zhang, Xiao Zheng, Rui-Xue Xu and YiJing Yan
Journal of Chemical Physical 151, 024110 (2019)
The Fano spectrum decomposition (FSD) scheme is proposed as an efficient and accurate sum-over-poles expansion of Fermi and Bose functions at cryogenic temperatures. The new method practically overcomes the discontinuity of Fermi and Bose functions near zero temperature, which causes slow convergence in conventional schemes such as the state-of-the-art Padé spectrum decomposition (PSD). The FSD scheme fragments Fermi or Bose function into a high-temperature reference and a low-temperature correction. While the former is efficiently decomposed via the standard PSD, the latter can be accurately described by several modified Fano functions. The resulting FSD scheme is found to converge overwhelmingly faster than the standard PSD method. Remarkably, the low-temperature correction supports further a recursive and scalable extension to access the near-zero temperature regime. Thus, the proposed FSD scheme, which obeys rather simple recursive relations, has a great value in efficient numerical evaluations of Fermi or Bose function-involved integrals for various lowtemperature condensed physics formulations and problems. For numerical demonstrations, we exemplify FSD for the efficient unraveling of fermionic reservoir correlation functions and the exact hierarchical equations of motion simulations of spin-boson dynamics, both at extremely low temperatures.

 

Quantum Entanglement of Parallel-Coupled Double Quantum Dots: a Theoretical Study Using the Hierarchical Equations of Motion Approach
Hong Gong, Arif Ullah, LvZhou Ye, Xiao Zheng and YiJing Yan
Chinese Journal of Chemical Physics 31, 510 (2018)
Quantum dots comprise a type of quantum impurity system. The entanglement and coherence of quantum states are significantly influenced by the strong electron-electron interactions among impurities and their dissipative coupling with the surrounding environment. Competition between many-body effects and transfer couplings plays an important role in determining the entanglement among localized impurity spins. In this work, we employ the hierarchical-equations-of-motion approach to explore the entanglement of a strongly correlated double quantum dots system. The relation between the total system entropy and those of subsystems is also investigated.

 

Precise Control of Local Spin States in an Adsorbed Magnetic Molecule with an STM Tip: Theoretical Insights from First-Principles-Based Simulation
Xiaoli Wang, Longqing Yang, LvZhou Ye, Xiao Zheng and YiJing Yan
The Journal of Physical Chemistry Letters 9, 2418-2425 (2018)
The precise tuning of local spin states in adsorbed organometallic molecules by a mechanically controlled scanning tunneling microscope (STM) tip has become a focus of recent experiments. However, the underlying mechanisms remain somewhat unclear. We investigate theoretically the STM tip control of local spin states in a single iron(II) porphyrin molecule adsorbed on the Pb(111) substrate. A combined density functional theory and hierarchical equations of motion approach is employed to simulate the tip tuning process in conjunction with the complete active space self-consistent field method for accurate computation of magnetic anisotropy. Our first-principles-based simulation accurately reproduces the tuning of magnetic anisotropy realized in experiment. Moreover, we elucidate the evolution of geometric and electronic structures of the composite junction and disclose the delicate competition between the Kondo resonance and local spin excitation. The understanding and insight provided by the first-principles-based simulation may help to realize more fascinating quantum state manipulations.

 

Kondo screening and spin excitation in few-layer CoPc molecular assembly stacking on Pb(111) surface: A DFT+HEOM study
Yu Wang, Xiao Zheng, and Jinlong Yang
The Journal of Chemical Physics 145, 154301 (2016)
Transition metal phthalocyanine molecules adsorbed on a metal substrate exhibit rich spin-related phenomena such as magnetic anisotropy, spin excitation, and Kondo effect. In this work, we investigate theoretically few-layer cobalt phthalocyanine (CoPc) molecular assembly stacking on Pb(111) surface with the use of a combined density functional theory (DFT) and hierarchical equations of motion (HEOM) approach. Calculation results indicate that the local spin properties of CoPc/Pb(111) composites depend critically on the number of adsorption layers. The first layer of CoPc on the Pb(111) surface serves as a spin-insulating buffer, while the CoPc molecules in the second layer exhibit spin–1/2 Kondo effect with a Kondo temperature of about 22 K. In a triple-layer CoPc assembly stacking on Pb(111), the antiferromagnetic coupling between the second and third layers leads to local spin-flip excitations under finite bias voltages, which gives rise to characteristic signatures in the differential conductance spectra. The DFT+HEOM approach thus provides a practical means for investigating the local electronic and spin properties of two-dimensional molecular assemblies adsorbed on the metal surface. The insights obtained from the first-principles based simulations could be useful for experimental manipulation or design of magnetic composite systems.

 

Environment-modulated Kondo phenomena in FePc/Au(111) adsorption systems
Yu Wang, Xiao Zheng, and Jinlong Yang
Physical Review B 93, 125114 (2016)
Recent scanning tunneling microscopy experiments on electron transport through iron(II) phthalocyanine (FePc) molecules adsorbed on the Au(111) surface have revealed that the measured Kondo conductance signature depends strongly on the specific adsorption site. To understand the physical origin of experimental observations, particularly the variation of Kondo features with the molecular adsorption site, we employ a combined density functional theory (DFT) and hierarchical equations of motion (HEOM) approach to investigate the electronic structure and Kondo correlation in FePc/Au(111) composite systems. The calculation results indicate that, for the on-top adsorption configuration, the two degenerate spin-unpaired dπ orbitals on the Fe center are coupled indirectly through substrate band states, leading to the Fano-like antiresonance line shape in the dI/dV spectra, while for the bridge adsorption configuration, the environment-induced couplings are largely suppressed because of the two different spin-unpaired d orbitals. Therefore, our work suggests that the environment-induced coupling as an essential physical factor could greatly influence the Fano-Kondo features in magnetic molecule/metal composites, and the crucial role of local orbital degeneracy and symmetry is discovered. These findings provide important insights into the electron correlation effects in complex solid-state systems. The usefulness and practicality of the combined DFT+HEOM method is also highlighted.

 

Anisotropy induced Kondo splitting in a mechanically stretched molecular junction: A first-principles based study
Xiaoli Wang, Dong Hou, Xiao Zheng, and YiJing Yan
The Journal of Chemical Physics 144, 034101 (2016)
The magnetic anisotropy and Kondo phenomena in a mechanically stretched magnetic molecular junction are investigated by combining the density functional theory (DFT) and hierarchical equations of motion (HEOM) approach. The system is comprised of a magnetic complex Co(tpy–SH)2 sandwiched between adjacent gold electrodes, which is mechanically stretched in experiments done by Parks et al. [Science 328, 1370 (2010)]. The electronic structure and mechanical property of the stretched system are investigated via the DFT calculations. The HEOM approach is then employed to characterize the Kondo resonance features, based on the Anderson impurity model parameterized from the DFT results. It is confirmed that the ground state prefers the S = 1 local spin state. The structural properties, the magnetic anisotropy, and corresponding Kondo peak splitting in the axial stretching process are systematically evaluated. The results reveal that the strong electron correlations and the local magnetic properties of the molecule magnet are very sensitive to structural distortion. This work demonstrates that the combined DFT+HEOM approach could be useful in understanding and designing mechanically controlled molecular junctions.

 

Thermodynamic meaning of local temperature of nonequilibrium open quantum systems
LvZhou Ye, Xiao Zheng, YiJing Yan, and Massimiliano Di Ventra
Physical Review B 94, 245105 (2016)
Measuring the local temperature of nanoscale systems out of equilibrium has emerged as a new tool to study local heating effects and other local thermal properties of systems driven by external fields. Although various experimental protocols and theoretical definitions have been proposed to determine the local temperature, the thermodynamic meaning of the measured or defined quantities remains unclear. By performing analytical and numerical analysis of bias-driven quantum dot systems both in the noninteracting and strongly-correlated regimes, we elucidate the underlying physical meaning of local temperature as determined by two definitions: the zero-current condition that is widely used but not measurable and the minimal-perturbation condition that is experimentally realizable. We show that, unlike the zero-current condition, the local temperature determined by the minimal-perturbation protocol establishes a quantitative correspondence between the nonequilibrium system of interest and a reference equilibrium system, provided the probed system observable and the related electronic excitations are fully local. The quantitative correspondence thus allows the well-established thermodynamic concept to be extended to nonequilibrium situations.

 

Local temperatures of strongly-correlated quantum dots out of equilibrium
LvZhou Ye, Dong Hou, Xiao Zheng, YiJing Yan, and Massimiliano Di Ventra
Physical Review B 91, 205106 (2015)
Probes that measure the local thermal properties of systems out of equilibrium are emerging as new tools in the study of nanoscale systems. One can then measure the temperature of a probe that is weakly coupled to a bias-driven system. By tuning the probe temperature so that the expectation value of some observable of the system is minimally perturbed, one obtains a parameter that measures its degree of local statistical excitation, and hence its local heating. However, one anticipates that different observables may lead to different temperatures and thus different local heating expectations. We propose an experimentally realizable protocol to measure such local temperatures and apply it to bias-driven quantum dots. By means of a highly accurate open quantum system approach, we show theoretically that the measured temperature is quite insensitive both to the choice of observable and to the probe-system coupling. In particular, even with observables that are distinct both physically and in their degree of locality, such as the local magnetic susceptibility of the quantum dot and the global spin-polarized current measured at the leads, the resulting local temperatures are quantitatively similar for quantum dots ranging from noninteracting to Kondo-correlated regimes, and are close to those obtained with the traditional “local equilibrium” definition.

 

Thermopower of few-electron quantum dots with Kondo correlations
LvZhou Ye, Dong Hou, Rulin Wang, Dewen Cao, Xiao Zheng, and YiJing Yan
Physical Review B 90, 165116 (2014)
The thermopower of few-electron quantum dots is crucially influenced by on-dot electron-electron interactions, particularly in the presence of Kondo correlations. In this paper, we present a comprehensive picture which elucidates the underlying relations between the thermopower and the spectral density function of two-level quantum dots. The effects of various electronic states, including the Kondo states originating from both spin and orbital degrees of freedom, are clearly unraveled. Such a physical picture is affirmed by accurate numerical data obtained with a hierarchical equations of motion approach. Our findings and understandings provide an effective and viable way to control the thermoelectric properties of strongly correlated quantum dot systems.

 

Improving the efficiency of hierarchical equations of motion approach and application to coherent dynamics in Aharonov–Bohm interferometers
Dong Hou, Shikuan Wang, Rulin Wang, LvZhou Ye, RuiXue Xu, Xiao Zheng, and YiJing Yan
The Journal of Chemical Physics 142, 104112 (2015)
Several recent advancements for the hierarchical equations of motion (HEOM) approach are reported. First, we propose an a priori estimate for the optimal number of basis functions for the reservoir memory decomposition. Second, we make use of the sparsity of auxiliary density operators (ADOs) and propose two ansatzs to screen out all the intrinsic zero ADO elements. Third, we propose a new truncation scheme by utilizing the time derivatives of higher-tier ADOs. These novel techniques greatly reduce the memory cost of the HEOM approach, and thus enhance its efficiency and applicability. The improved HEOM approach is applied to simulate the coherent dynamics of Aharonov–Bohm double quantum dot interferometers. Quantitatively accurate dynamics is obtained for both noninteracting and interacting quantum dots. The crucial role of the quantum phase for the magnitude of quantum coherence and quantum entanglement is revealed.

 

Hierarchical equations of motion for an impurity solver in dynamical mean-field theory
Dong Hou, Rulin Wang, Xiao Zheng, NingHua Tong,JianHua Wei and YiJing Yan
Physical Review B 90, 045141 (2014)
A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly correlated electronic systems, in the framework of dynamical mean-field theory (DMFT). The HEOM method is also numerically convenient to achieve the same level of accuracy as that using the state-of-the-art numerical renormalization group impurity solver at finite temperatures. The practicality of the HEOM+DMFT method is demonstrated by its applications to the Hubbard models with Bethe and hypercubic lattice structures. We investigate the metal-insulator transition phenomena, and address the effects of temperature on the properties of strongly correlated lattice systems.

 

Kondo Memory in Driven Strongly Correlated Quantum Dots
Xiao Zheng, YiJing Yan, and Massimiliano Di Ventra
Physical Review Letters 111, 086601 (2013)
We investigate the real-time current response of strongly correlated quantum dot systems under sinusoidal driving voltages. By means of an accurate hierarchical equations of motion approach, we demonstrate the presence of prominent memory effects induced by the Kondo resonance on the real-time current response. These memory effects appear as distinctive hysteresis line shapes and self-crossing features in the dynamic current-voltage characteristics, with concomitant excitation of odd-number overtones. They emerge as a cooperative effect of quantum coherence—due to inductive behavior—and electron correlations—due to the Kondo resonance. We also show the suppression of memory effects and the transition to classical behavior as a function of temperature. All these phenomena can be observed in experiments and may lead to novel quantum memory applications.

 

Publication

publication of our group


1. Jinshuang Jin*, Xiao Zheng, and YiJing Yan*, “Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach”, J. Chem. Phys. 128, 234703 (2008). https://doi.org/10.1063/1.2938087


2. Xiao Zheng*, Jinshuang Jin, and YiJing Yan*, “Dynamic electronic response of a quantum dot driven by time-dependent voltage”, J. Chem. Phys. 129, 184112 (2008). https://doi.org/10.1063/1.3010886


3. Xiao Zheng, Jinshuang Jin, and YiJing Yan*, “Dynamic Coulomb blockade in single-lead quantum dots”, New J. Phys. 10, 093016 (2008). https://doi.org/10.1088/1367-2630/10/9/093016


4. Xiao Zheng*, JunYan Luo, Jinshuang Jin, and YiJing Yan*, “Complex non-Markovian effect on time-dependent quantum transport”, J. Chem. Phys. 130, 124508 (2009). https://doi.org/10.1063/1.3095424


5. Xiao Zheng*, Jinshuang Jin, Sven Welack, Meng Luo, and YiJing Yan*, “Numerical approach to time-dependent quantum transport and dynamical Kondo transition”, J. Chem. Phys. 130, 164708 (2009). https://doi.org/10.1063/1.3123526


6. Xiao Zheng, GuanHua Chen*, Yan Mo, SiuKong Koo, Heng Tian, ChiYung Yam, and YiJing Yan*, “Time-dependent density functional theory for quantum transport”, J. Chem. Phys. 133, 114101 (2010). https://doi.org/10.1063/1.3475566


7. Xiao Zheng, Rui-Xue Xu, Jian Xu, Jinshuang Jin, Jie Hu, and YiJing Yan*, “Hierarchical equations of motion for quantum dissipation and quantum transport”, Prog. Chem. 24, 1129 (2012). link


8. ZhenHua Li, NingHua Tong, Xiao Zheng*, Dong Hou, JianHua Wei*, Jie Hu, and YiJing Yan*, Hierarchical Liouville-Space Approach for Accurate and Universal Characterization of Quantum Impurity Systems. Phys. Rev. Lett. 109, 266403 (2012). https://doi.org/10.1103/PhysRevLett.109.266403


9. Shikuan Wang, Xiao Zheng*, Jinshuang Jin, and YiJing Yan*, “Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems”, Phys. Rev. B 88, 035129 (2013). https://doi.org/10.1103/PhysRevB.88.035129


10. Xiao Zheng, YiJing Yan, and Massimiliano Di Ventra, “Kondo memory in driven strongly correlated quantum dots”, Phys. Rev. Lett. 111, 086601 (2013). https://doi.org/10.1103/PhysRevLett.111.086601


11. Dong Hou, Rulin Wang, Xiao Zheng*, NingHua Tong*, JianHua Wei, and YiJing Yan*, “Hierarchical equations of motion for an impurity solver in dynamical mean-field theory”, Phys. Rev. B 90, 045141 (2014). https://doi.org/10.1103/PhysRevB.90.045141


12. Yu Wang, Xiao Zheng*, Bin Li, and Jinlong Yang*, “Understanding the Kondo resonance in the d-CoPc/Au(111) adsorption system”, J. Chem. Phys. 141, 084713 (2014). https://doi.org/10.1063/1.4893953


13. LvZhou Ye, Dong Hou, Rulin Wang, Dewen Cao, Xiao Zheng*, and YiJing Yan*, “Thermopower of few-electron quantum dots with Kondo correlations”, Phys. Rev. B 90, 165116 (2014). https://doi.org/10.1103/PhysRevB.90.165116


14. Dong Hou, Shikuan Wang, Rulin Wang, LvZhou Ye, RuiXue Xu, Xiao Zheng*, and YiJing Yan*, “Improving the efficiency of hierarchical equations of motion approach and application to coherent dynamics in Aharonov-Bohm interferometers”, J. Chem. Phys. 142, 104112 (2015). https://doi.org/10.1103/PhysRevB.90.165116


15. LvZhou Ye, Dong Hou, Xiao Zheng*, YiJing Yan, and Massimiliano Di Ventra*, “Local temperatures of strongly-correlated quantum dots out of equilibrium”, Phys. Rev. B 91, 205106 (2015). https://doi.org/10.1103/PhysRevB.91.205106


16. Xiaoli Wang, Dong Hou*, Xiao Zheng*, and YiJing Yan, “Anisotropy induced Kondo splitting in a mechanically stretched molecular junction: A first-principles based study”, J. Chem. Phys. 144, 034101 (2016). https://doi.org/10.1063/1.4939843


17. Yu Wang, Xiao Zheng*, and Jinlong Yang*, “Environment-modulated Kondo phenomena in FePc/Au(111) adsorption systems”, Phys. Rev. B 93, 125114 (2016). https://doi.org/10.1103/PhysRevB.93.125114


18. Yu Wang, Xiao Zheng*, and Jinlong Yang*, “Kondo screening and spin excitation in few-layer CoPc molecular assembly stacking on Pb(111) surface: A DFT+HEOM study”, J. Chem. Phys. 145, 154301 (2016). https://doi.org/10.1063/1.4964675


19. LvZhou Ye, Xiaoli Wang, Dong Hou, Rui-Xue Xu, Xiao Zheng*, and YiJing Yan, “HEOM-QUICK: a program for accurate, efficient, and universal characterization of strongly correlated quantum impurity systems”, WIREs Comput. Mol. Sci. 6, 608 (2016). https://doi.org/10.1002/wcms.1269


20. Jin-Jin Ding*, Hou-Dao Zhang*, Yao Wang, Rui-Xue Xu, Xiao Zheng, and YiJing Yan*, “Minimum-exponents ansatz for molecular dynamics and quantum dissipation”, J. Chem. Phys. 145, 204110 (2016). https://doi.org/10.1063/1.4967964


21. LvZhou Ye, Xiao Zheng*, YiJing Yan, and Massimiliano Di Ventra*, “Thermodynamic meaning of local temperature of nonequilibrium open quantum systems”, Phys. Rev. B 94, 245105 (2016). https://doi.org/10.1103/PhysRevB.94.245105


22. ZhenHua Li, JianHua Wei, Xiao Zheng, YiJing Yan and Hong-Gang Luo*. Corrected Kondo temperature beyond the conventional Kondo scaling limit. J. Phys.: Condens. Matter. 29 175601(2017). https://doi.org/10.1088/1361-648X/aa6183


23. Yu Wang*, Xiaoguang Li, Xiao Zheng, and Jinlong Yang, “Spin switch in iron phthalocyanine on Au(111) surface by hydrogen adsorption”, J. Chem. Phys. 147, 134701 (2017). https://doi.org/10.1063/1.4996970


24. LvZhou Ye, Hou-Dao Zhang*, Yao Wang, Xiao Zheng*, and YiJing Yan, “Low-frequency logarithmic discretization of the reservoir spectrum for improving the efficiency of hierarchical equations of motion approach”, J. Chem. Phys. 147, 074111 (2017). https://doi.org/10.1063/1.4999027


25. Xiaoli Wang, Longqing Yang, LvZhou Ye, Xiao Zheng*, and YiJing Yan, “Precise Control of Local Spin States in an Adsorbed Magnetic Molecule with an STM Tip: Theoretical Insights from First-Principles-Based Simulation”, J. Phys. Chem. Lett. 9, 2418−2425 (2018). https://doi.org/10.1021/acs.jpclett.8b00808


26. ZhenHua Li, YongXi Cheng, JianHua Wei*, Xiao Zheng, and YiJing Yan. Kondo-peak splitting and resonance enhancement caused by interdot tunneling in coupled double quantum dots. Phys. Rev. B, 98, 115133(2018). https://doi.org/10.1103/PhysRevB.98.115133


27. Lu Han, Hou-Dao Zhang, Xiao Zheng*, and YiJing Yan, “On the exact truncation tier of fermionic hierarchical equations of motion”, J. Chem. Phys. 148, 234108 (2018). https://doi.org/10.1063/1.5034776


28. Hong Gong, Arif Ullah, LvZhou Ye, Xiao Zheng*, and YiJing Yan, “Quantum entanglement of parallel-coupled double quantum dots: A theoretical study using the hierarchical equations of motion approach”, Chin. J. Chem. Phys. 31, 510 (2018). Invited paper for the special issue for celebration of “The 60th Anniversary of University of Science and Technology of China and the 30th Anniversary of Chinese Journal of Chemical Physics". https://doi.org/10.1063/1674-0068/31/CJCP1806138


29.Yu Wang*, Xiaoguang Li*, Xiao Zheng, and Jinlong Yang, “Manipulation of spin and magnetic anisotropy in bilayer magnetic molecular junctions”, Phys. Chem. Chem. Phys. 20, 26396 (2018). https://doi.org/10.1039/C8CP05759A


30. Xiao Zheng*, “Precise simulation of strongly correlated quantum impurity systems (in Chinese)”, Chin. Sci. Bull. 63,3412(2018). https://doi.org/10.1360/N972018-00895


31. Lei Cui, Hou-Dao Zhang*, Xiao Zheng*, Rui-Xue Xu, and YiJing Yan, “Highly efficient and accurate sum-over-poles expansion of Fermi and Bose functions at near zero temperatures: Fano spectrum decomposition scheme”, J. Chem. Phys. 150, 024110 (2019). https://doi.org/10.1063/1.5096945


32. Hou-Dao Zhang†, Lei Cui†, Hong Gong, Rui-Xue Xu, Xiao Zheng*, and YiJing Yan, “Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments”, J. Chem. Phys. 152, 064107 (2020). https://doi.org/10.1063/1.5136093


33. Xiangyang Li†, Liang Zhu†, Bin Li, Jingcheng Li, Pengfei Gao, Longqing Yang, Aidi Zhao, Yi Luo, Jianguo Hou, Xiao Zheng*, Bing Wang*, and Jinlong Yang*, “Molecular molds for regularizing Kondo states at atom/metal interfaces”, Nat. Commun. 11, 2566 (2020). https://doi.org/10.1038/s41467-020-16402-6


34. Xiangzheng Zeng, Lyuzhou Ye, Daochi Zhang, Rui-Xue Xu, Xiao Zheng, Di Ventra Massimiliano. “Effect of quantum resonances on local temperature in nonequilibrium open systems“, Phys. Rev. B, 103(8), 085411(2021). https://doi.org/10.1103/PhysRevB.103.085411


 

Publication by other groups (users of HEOM-QUICK)


1. YongXi Cheng, WenJie Hou, YuanDong Wang, ZhenHua Li, JianHua Wei*, and YiJing Yan: Time-dependent transport through quantum-impurity systems with Kondo resonance. New J. Phys. 17, 033009 (2015). https://doi.org/10.1088/1367-2630/17/3/033009


2. YongXi Cheng, JianHua Wei*, and YiJing Yan: Reappearance of Kondo Effect in Serially Coupled Symmetric Triple Quantum Dots, Europhysics Letters, 112, 57001 (2015). https://doi.org/10.1209/0295-5075/112/57001


3. Lei Pan, YuanDong Wang, ZhenHua Li, JianHua Wei and YiJing Yan. Kondo effect in double quantum dots with ferromagnetic RKKY interaction. J. Phys.: Condens. Matter. 29 025601(2017). https://doi.org/10.1088/0953-8984/29/2/025601


4. YongXi Cheng, YuanDong Wang, ZhenGang Zhu, JianHua Wei*,YiJing Yan: Long-range exchange interaction in triple quantum dots in the Kondo regime. Phys. Rev. B, 95, 155417 (2017). https://doi.org/10.1103/PhysRevB.95.155417


5. WenJie Hou, YuanDong Wang, JianHua Wei*, and YiJing Yan: Manipulation of Pauli spin blockade in double quantum dot systems. J. Chem. Phys. 146, 224304 (2017). https://doi.org/10.1063/1.4985146


6. WenJie Hou, YuanDong Wang, JianHua Wei, ZhenGang Zhu & YiJing Yan, Many-body Tunneling and Nonequilibrium Dynamics of Doublons in Strongly Correlated Quantum Dots. Sci. Rep. 7, 2486 (2017). https://doi.org/10.1038/s41598-017-02728-7


7.WenJie Hou, YuanDong Wang, JianHua Wei & YiJing Yan: Ferromagnetic Phase in Nonequilibrium Quantum Dots. Sci. Rep. 7, 18072 (2017). https://doi.org/10.1038/s41598-017-18440-5


8. WenJie Hou, YuanDong Wang, and JianHua Wei: Bipolar spin blockade, many-body tunneling and long-range resonance in triple quantum dots. Europhysics Letters, 118, 67002 (2017). https://doi.org/10.1209/0295-5075/118/67002


9. YuanDong Wang, JingHan Ni, and JianHua Wei. Precise simulation of single-hole spin control in quantum dots. Phys. Rev. B, 96, 245426(2017). https://doi.org/10.1103/PhysRevB.96.245426


10. YongXi Cheng, ZhenHua Li, JianHuaWei*, YiHang Nie*, and YiJing Yan. Transient dynamics of a quantum-dot: From Kondo regime to mixed valence and to empty orbital regimes. J. Chem. Phys. 148, 134111 (2018). https://doi.org/10.1063/1.5013038


11. Yong Xi Cheng, Yuan Dong Wang, Jian Hua Wei*, Hong-Gang Luo, Hai-Qing Lin. Long-range overlapping of Kondo clouds in open triple quantum dots. J. Phys.: Condens. Matter. 31, 155302(2019). https://doi.org/10.1088/1361-648X/ab01b1


12. YuanDong Wang, ZhenGang Zhu, JianHua Wei*, YiJing Yan. Bias-induced chiral current and topological blockade in triple quantum dots. Europhysics Letters 130(1), 17003(2020). https://doi.org/10.1209/0295-5075/130/17003


13. Wang, Yu, Xiaoguang Li*, and Jinlong Yang. "Spin-flip excitations induced by dehydrogenation in a magnetic single-molecule junction." J. Chem. Phys. 151(22),224704(2019). https://doi.org/10.1063/1.5129288


14. Wenjie Hou*, Yuandong Wang, Weisheng Zhao*, Zhengang Zhu, Jianhua Wei, Honggang Luo, Yijing Yan. Many-body tunneling and nonequilibrium dynamics in double quantum dots with capacitive coupling. J. Phys.: Condens. Matter, 33(7), 075301(2020). https://doi.org/10.1088/1361-648X/abc5d5


15. YongXi Cheng, ZhenHua Li, JianHua Wei*, HongGang Luo*, HaiQing Lin, YiJing Yan. Kondo resonance assisted thermoelectric transport through strongly correlated quantum dots. Sci. China Phys. Mech. 63, 1-9 (2020). https://doi.org/10.1007/s11433-019-1526-3


16. YuanDong Wang, JianHua Wei*, YiJing Yan. Current-induced effective Dzyaloshinskii–Moriya interaction and its Kondo enhancement in double quantum dot. J. Chem.Phys. 152(16), 164113(2020). https://doi.org/10.1063/1.5144624


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