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One of the main open problems in the field of transport in strongly interacting nanostructures is the understanding of currents beyond the linear response regime. In this work, we consider the single-impurity Anderson model and use the…

Strongly Correlated Electrons · Physics 2009-07-02 F. Heidrich-Meisner , A. E. Feiguin , E. Dagotto

We present an algorithm for solving the self-consistency equations of the dynamical mean-field theory (DMFT) with high precision and efficiency at low temperatures. In each DMFT iteration, the impurity problem is mapped to an auxiliary…

Strongly Correlated Electrons · Physics 2013-06-11 D. Rost , F. Assaad , N. Blümer

We propose to calculate spectral functions of quantum impurity models using the Time Evolving Block Decimation (TEBD) for Matrix Product States. The resolution of the spectral function is improved by a so-called linear prediction approach.…

Strongly Correlated Electrons · Physics 2015-10-28 Martin Ganahl , Markus Aichhorn , Patrik Thunström , Karsten Held , Hans Gerd Evertz , Frank Verstraete

We extend finite-temperature tensor network methods to compute Matsubara imaginary-time correlation functions, building on the minimally entangled typical thermal states (METTS) and purification algorithms. While imaginary-time correlation…

Strongly Correlated Electrons · Physics 2022-05-18 Daniel Bauernfeind , Xiaodong Cao , E. Miles Stoudenmire , Olivier Parcollet

We use the adaptive time-dependent density matrix renormalization group method (t-DMRG) to study the nonequilibrium dynamics of a benchmark quantum impurity system which has a time-dependent Hamiltonian. This model is a resonant-level…

Strongly Correlated Electrons · Physics 2009-04-01 Cheng Guo , Andreas Weichselbaum , Stefan Kehrein , Tao Xiang , Jan von Delft

The Anderson impurity model is a paradigmatic example in the study of strongly correlated quantum systems and describes an interacting quantum dot coupled to electronic leads. In this work, we characterize the emergence of the Kondo effect…

Strongly Correlated Electrons · Physics 2024-03-05 Matteo M. Wauters , Chia-Min Chung , Lorenzo Maffi , Michele Burrello

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

Strongly Correlated Electrons · Physics 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

Nonperturbative dynamic theory has a particular advantage in studying the transport in a quantum impurity system in a steady state. Here, we develop a new approach for obtaining the retarded Green's function expressed in resolvent form. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-30 Jongbae Hong

Recently solvers for the Anderson impurity model (AIM) working directly on the real-frequency axis have gained much interest. A simple and yet frequently used impurity solver is exact diagonalization (ED), which is based on a discretization…

Strongly Correlated Electrons · Physics 2017-10-24 Manuel Zingl , Martin Nuss , Daniel Bauernfeind , Markus Aichhorn

We describe some exact high-energy properties of a single Anderson impurity connected to two noninteracting leads in a nonequilibrium steady state. In the limit of high bias voltages, and also in the high-temperature limit at thermal…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Akira Oguri , Rui Sakano

Based on the process tensor framework, we extend the time-evolving matrix product operator (TEMPO) method to solve bosonic quantum impurity problems (QIPs) with off-diagonal system-bath coupling. Our method is a most generic extension of…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Chu Guo , Wei Wu , Xiansong Xu , Tian Jiang , Ping-Xing Chen , Ruofan Chen

We present a numerical method for the study of correlated quantum impurity problems out of equilibrium, which is particularly suited to address steady state properties within Dynamical Mean Field Theory. The approach, recently introduced in…

Strongly Correlated Electrons · Physics 2014-04-08 Antonius Dorda , Martin Nuss , Wolfgang von der Linden , Enrico Arrigoni

We present a hardware-reconfigurable ansatz on $N_q$-qubits for the variational preparation of many-body states of the Anderson impurity model (AIM) with $N_{\text{imp}}+N_{\text{bath}}=N_q/2$ sites, which conserves total charge and spin…

The single impurity Anderson model (SIAM) is studied within an enhanced non-crossing approximation (ENCA). This method is extended to the calculation of susceptibilities and thoroughly tested, also in order to prepare applications as a…

Strongly Correlated Electrons · Physics 2010-01-19 Sebastian Schmitt , Torben Jabben , Norbert Grewe

We propose a hierarchical dynamics approach for evaluation of nonequilibrium dynamic response properties of quantum impurity systems. It is based on a hierarchical equations of motion formalism, in conjunction with a linear response theory…

Strongly Correlated Electrons · Physics 2013-07-15 Shikuan Wang , Xiao Zheng , Jinshuang Jin , YiJing Yan

In the present work we apply the atomic approach to the single impurity Anderson model (SIAM). A general formulation of this approach, that can be applied both to the impurity and to the lattice Anderson Hamiltonian, was developed in a…

Strongly Correlated Electrons · Physics 2009-11-24 T. Lobo , M. S. Figueira , M. E. Foglio

We solve the nonequilibrium dynamical mean-field theory (DMFT) using matrix product states (MPS). This allows us to treat much larger bath sizes and by that reach substantially longer times (factor $\sim$ 2 -- 3) than with exact…

Strongly Correlated Electrons · Physics 2014-12-22 F. Alexander Wolf , Ian P. McCulloch , Ulrich Schollwöck

Tensor-network-based methods are promising candidates to solve quantum impurity problems. They are free of sampling noises and the sign problem compared to state-of-the-art continuous-time quantum Monte Carlo methods. Recent progress made…

Strongly Correlated Electrons · Physics 2024-01-18 Ruofan Chen , Xiansong Xu , Chu Guo

The quantitative control of the dynamic correlations of single impurity Anderson models is essential in several very active fields. We analyze the one-particle Green function with a constant energy resolution by dynamic density-matrix…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Götz S. Uhrig , Frithjof B. Anders

We present a new continuous time solver for quantum impurity models such as those relevant to dynamical mean field theory. It is based on a stochastic sampling of a perturbation expansion in the impurity-bath hybridization parameter.…

Strongly Correlated Electrons · Physics 2009-11-11 Philipp Werner , Armin Comanac , Luca De Medici , Matthias Troyer , Andrew J. Millis