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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 introduce a framework for describing the real-time dynamics of quantum impurity models out of equilibrium which is based on the influence matrix approach. By replacing the dynamical map of a large fermionic quantum environment with an…

Strongly Correlated Electrons · Physics 2025-11-12 Michael Sonner , Valentin Link , Dmitry A. Abanin

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

Integrated assessment models (IAMs) are a central tool for the quantitative analysis of climate change mitigation strategies. However, due to their global, cross-sectoral and centennial scope, IAMs cannot explicitly represent the…

We extend a previously proposed rotation and truncation scheme to optimize quantum Anderson impurity calculations with exact diagonalization [PRB 90, 085102 (2014)] to density-matrix renormalization group (DMRG) calculations. The method…

Strongly Correlated Electrons · Physics 2019-10-02 Y. Lu , X. Cao , P. Hansmann , M. W. Haverkort

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

Strongly Correlated Electrons · Physics 2015-03-04 A. L. Kuzemsky

We apply a two-particle semi-analytic approach to a single Anderson impurity attached to two biased metallic leads. The theory is based on reduced parquet equations justified in critical regions of singularities in the Bethe-Salpeter…

Strongly Correlated Electrons · Physics 2022-02-23 Jiawei Yan , Václav Janiš

We present an explicit time-dependent matrix product ansatz (tMPA) which describes the time-evolution of any local observable in an interacting and deterministic lattice gas, specifically for the rule 54 reversible cellular automaton of…

Statistical Mechanics · Physics 2020-05-28 Katja Klobas , Marko Medenjak , Tomaz Prosen , Matthieu Vanicat

We show that a generic single-orbital Anderson impurity model, lacking for instance any kind of particle-hole symmetry, can be exactly mapped without any constraint onto a resonant level model coupled to two Ising variables, which reduce to…

Strongly Correlated Electrons · Physics 2017-11-22 Daniele Guerci , Michele Fabrizio

Dynamic autocorrelations $<S_i^{\alpha}(t) S_i^{\alpha}>$ (\alpha=x,z) of an isolated impurity spin in a S=1/2 XX chain are calculated. The impurity spin, defined by a local change in the nearest-neighbor coupling, is either in the bulk or…

Statistical Mechanics · Physics 2009-10-31 Joachim Stolze , Michael Vogel

We present a minimally entangled typical thermal state (METTS) quantum impurity solver for general multi-orbital systems at finite temperatures. We introduce an improved estimator for the single-particle Green's function that strongly…

Strongly Correlated Electrons · Physics 2024-08-26 Xiaodong Cao , E. Miles Stoudenmire , Olivier Parcollet

We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving…

Strongly Correlated Electrons · Physics 2009-11-07 Serge Florens , Antoine Georges

We perform a detailed comparison of two Matrix Product States (MPS) based time evolution algorithms for Anderson Impurity Models. To describe the bath, we use both the star-geometry as well as the commonly employed Wilson chain geometry.…

Strongly Correlated Electrons · Physics 2019-06-24 Daniel Bauernfeind , Markus Aichhorn , Hans Gerd Evertz

We have applied the recently developed dual fermion technique to the spectral properties of single-band Anderson impurity problem (SIAM). In our approach a series expansion is constructed in vertices of the corresponding atomic Hamiltonian…

Strongly Correlated Electrons · Physics 2010-06-15 I. S. Krivenko , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We investigate the ground-state properties of the Anderson single impurity model (finite Coulomb impurity repulsion) with the Coupled Cluster Method. We consider different CCM reference states and approximation schemes and make comparison…

Strongly Correlated Electrons · Physics 2009-06-26 Jin-Jun Liang , Clive Emary , Tobias Brandes

We construct the boundary conformal field theory that describes the low-temperature behavior of the two-channel Anderson impurity model. The presence of an exactly marginal operator is shown to generate a line of stable fixed points…

Strongly Correlated Electrons · Physics 2007-05-23 H. Johannesson , N. Andrei , C. J. Bolech

We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faithful reflection of the resonating valence bond (RVB) picture…

Strongly Correlated Electrons · Physics 2021-04-07 Jintae Kim , Minsoo Kim , Pramod Padmanabhan , Jung Hoon Han , Hyun-Yong Lee

In ordinary metals, antiferromagnetic exchange between conduction electrons and a magnetic impurity leads to screening of the impurity spin below the Kondo temperature, $T_K$. In systems such as semimetals, small-gap semiconductors and…

Condensed Matter · Physics 2008-08-29 L. S. Borkowski

In this work, we analyze in detail the occurrence of divergences in the irreducible vertex functions for one of the fundamental models of many-body physics: the Anderson impurity model (AIM). These divergences -- a surprising hallmark of…

Strongly Correlated Electrons · Physics 2018-07-03 P. Chalupa , P. Gunacker , T. Schäfer , K. Held , A. Toschi

The time-evolving matrix product operators (TEMPO) method, which makes full use of the Feynman-Vernon influence functional, is the state-of-the-art tensor network method for bosonic impurity problems. However, for fermionic impurity…

Strongly Correlated Electrons · Physics 2024-02-23 Ruofan Chen , Xiansong Xu , Chu Guo