We propose a versatile strategy for numerical renormalization group solution of general channel-mixing Kondo and Anderson models beyond previous reach, opening the door toward broad applications in protocol non-perturbative machineries, such as dynamical cluster approximation and cluster dynamical mean field theory, for strongly correlated electron systems. We illustrate the strategy by investigating the quantum phase transitions in two quantum impurity models with cases untouched before.
Grassmann time-evolving matrix product operators for fermionic impurities coupled to a superconducting bath
College of Science, National University of Defense Technology(国防科技大学理学院);Hunan Key Laboratory of Mechanism and technology of Quantum Information(湖南省量子信息机制与技术重点实验室);College of Physics and Electronic Engineering, and Center for Computational Sciences, Sichuan Normal University(四川师范大学物理与电子工程学院及计算科学中心);State Key Laboratory of Quantum Functional Materials, Department of Physics, and Guangdong Basic Research Center of Excellence for Quantum Science, Southern University of Science and Technology (SUSTech)(南方科技大学(SUSTech)量子功能材料国家重点实验室、物理系及广东省基础学科研究中心量子科学卓越中心);College of Advanced Interdisciplinary Studies, National University of Defense Technology(国防科技大学前沿交叉学院);Hunan Research Center of the Basic Discipline for Physical States(湖南省物理态基础学科研究中心)
Auxiliary master equation approach to non-equilibrium correlated impurities
我们提出了一个数值方法的研究相关量子杂质问题的平衡,这是特别适合于解决稳态性能的动态平均场论。最近在[Arrigoni et al.,物理修订版信函110,086403(2013)]基于将原始杂质问题映射到辅助开放量子系统上,该辅助开放量子系统由耦合到浴位以及马尔可夫环境的相互作用杂质组成。辅助系统的动态由Lindblad主方程控制,其参数用于优化映射。结果的准确性可以很容易地估计,并通过增加辅助浴位的数量,或通过引入线性校正系统地提高。在这里,我们集中在详细讨论所提出的方法,包括技术意见。为了解决辅助杂质问题的格林函数,应用非厄米的Lanczos对角化。作为基准,结果的稳态电流-电压特性的单杂质安德森模型。此外,还讨论了单粒子谱函数的偏压依赖性和近藤共振的分裂。在其目前的形式,该方法是快速,有效的,并具有控制精度。
Probing Collective and Individual Kondo Screening: Multi-Stage, Multi-Channel Kondo Effects in a $C_3$-Symmetric Four-Impurity Model
Chongqing University(重庆大学);Hangzhou Normal University(杭州师范大学);Institute of Physics, Chinese Academy of Sciences(中国科学院物理研究所);School of Physical Sciences, University of Chinese Academy of Sciences(中国科学院大学物理科学学院)
Probing quantum critical crossover via impurity renormalization group
National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University(南京大学固体微结构物理国家重点实验室和物理系);School of Physics, Renmin University of China(中国人民大学物理学院);Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China(教育部量子态构建与操控重点实验室(中国人民大学));Collaborative Innovation Center of Advanced Microstructures, Nanjing University(南京大学先进微结构协同创新中心);Jiangsu Physical Science Research Center(江苏物理科学研究中心);Hefei National Laboratory(合肥国家实验室)