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We here present how a self-consistent solution of the dynamical mean field theory equations can be obtained using exact diagonalization of an Anderson impurity model with accuracies comparable to those found using renormalization group or…

Strongly Correlated Electrons · Physics 2014-08-06 Y. Lu , M. Höppner , O. Gunnarsson , M. W. Haverkort

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

We present a quantum embedding methodology to resolve the Anderson impurity model in the context of dynamical mean-field theory, based on an extended exact diagonalization method. Our method provides a maximally localized quantum impurity…

Strongly Correlated Electrons · Physics 2021-02-19 Carla Lupo , François Jamet , Terence Tse , Ivan Rungger , Cedric Weber

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 present an analytic universal impurity solver for strongly correlated electrons. We extend the many-body perturbation expansion via suitable two-particle renormalizations from the Fermi-liquid regime to the critical region of the…

Strongly Correlated Electrons · Physics 2008-09-16 V. Janis , P. Augustinsky

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

We analyze the spectral function of the single-impurity two-terminal Anderson model at finite voltage using the recently developed diagrammatic quantum Monte Carlo technique as well as perturbation theory. In the (particle-hole-)symmetric…

Strongly Correlated Electrons · Physics 2011-02-10 L. Muehlbacher , D. F. Urban , A. Komnik

In this article we formulate the superperturbation theory for the Anderson impurity model on the real axis. The resulting impurity solver allows to evaluate dynamical quantities without numerical analytical continuation by the maximum…

Strongly Correlated Electrons · Physics 2015-05-27 Christoph Jung , Aljoscha Wilhelm , Hartmut Hafermann , Sergey Brener , Alexander Lichtenstein

A simple impurity solver is shown to capture the impurity-induced superconducting subgap states in quantitative agreement with the numerical renormalization group and quantum Monte-Carlo simulations. The solver is based on the exact…

Superconductivity · Physics 2023-12-21 Virgil V. Baran , Emil J. P. Frost , Jens Paaske

Resonant tunnelling through an Anderson impurity is investigated by employing a new perturbation scheme at nonequilibrium. This new approach gives the correct weak and strong coupling limit in $U$ by introducing adjustable parameters in the…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco , Kicheon Kang

We present a generalization of the recently developed dual fermion approach introduced for correlated lattices to non-equilibrium problems. In its local limit, the approach has been used to devise an efficient impurity solver, the…

Strongly Correlated Electrons · Physics 2010-11-16 C. Jung , A. Lieder , S. Brener , H. Hafermann , B. Baxevanis , A. Chudnovskiy , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We study the dynamics of the quenched Anderson model at finite temperature using matrix product states. Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two…

Strongly Correlated Electrons · Physics 2021-07-08 Lucas Kohn , Giuseppe E. Santoro

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,…

Strongly Correlated Electrons · Physics 2016-01-13 J. G. Liu , D. Wang , Q. H. Wang

We develop a method for calculating the self-energy of a quantum impurity coupled to a continuous bath by stochastically generating a distribution of finite Anderson models that are solved by exact diagonalization, using the noninteracting…

Strongly Correlated Electrons · Physics 2012-09-13 Mats Granath , Hugo U. R. Strand

We develop a continuous-time quantum Monte Carlo method based on a strong-coupling expansion for Anderson impurity models with phonon-assisted hybridizations for arbitrary number of phonon modes. As a benchmark, we investigate the…

Strongly Correlated Electrons · Physics 2015-06-15 Kazumasa Hattori

We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant scheme to sample diagrams for the scattering amplitude. Unlike…

Strongly Correlated Electrons · Physics 2020-08-13 Jia Li , Markus Wallerberger , Emanuel Gull

We describe a variational approach to solving Anderson impurity models by means of exact diagonalization. Optimized parameters of a discretized auxiliary model are obtained on the basis of the Peierls-Feynman-Bogoliubov principle. Thereby,…

Strongly Correlated Electrons · Physics 2015-06-26 M. Schüler , C. Renk , T. O. Wehling

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

Nonlinear tunneling current through a quantum dot (an Anderson impurity system) subject to both constant and alternating electric fields is studied in the Kondo regime. A systematic diagram technique is developed for perturbation study of…

Strongly Correlated Electrons · Physics 2016-08-31 Yehuda Goldin , Yshai Avishai

The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the most successful methods for approaching this challenge…

Strongly Correlated Electrons · Physics 2024-01-22 A. Erpenbeck , W. -T. Lin , T. Blommel , L. Zhang , S. Iskakov , L. Bernheimer , Y. Núñez-Fernández , G. Cohen , O. Parcollet , X. Waintal , E. Gull
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