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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

Accurate numerical results are derived for transport properties of Kondo impurity systems with potential scattering and orbital degeneracy. Using the continuous-time quantum Monte Carlo (CT-QMC) method, static and dynamic physical…

Strongly Correlated Electrons · Physics 2015-07-30 Annamaria Kiss , Yoshio Kuramoto , Shintaro Hoshino

The M-channel Anderson impurity model (M=1,2) is studied in the Kondo limit with a finite voltage bias applied to the conduction electron reservoirs. Using the Non-Crossing Approximation (NCA), we calculate the local spectral functions, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. H. Hettler , J. Kroha , S. Hershfield

We introduce and study a simplification of the symmetric single-impurity Kondo model. In the Ising-Kondo model, host electrons scatter off a single magnetic impurity at the origin whose spin orientation is dynamically conserved. This…

Strongly Correlated Electrons · Physics 2021-02-24 K. Bauerbach , Z. M. M. Mahmoud , F. Gebhard

The conductance of two Anderson impurity models, one with two-fold and another with four-fold degeneracy, representing two types of quantum dots, is calculated using a world-line quantum Monte Carlo (QMC) method. Extrapolation of the…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Dong E. Liu , Shailesh Chandrasekharan , Harold U. Baranger

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

We apply the method of infinitesimal unitary transformations recently introduced by Wegner to the Anderson single impurity model. It is demonstrated that this method provides a good approximation scheme for all values of the on-site…

Condensed Matter · Physics 2009-10-28 Stefan K. Kehrein , Andreas Mielke

We address a recent theoretical discrepancy concerning the Kondo effect in quantum dots with an even number of electrons where spin-singlet and -triplet states are nearly degenerate. We show that the discrepancy arises from the fact that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto , Yuli V. Nazarov

We study the fate of the Kondo effect with one-dimensional conduction baths at very low densities, such that the system explores the bottom of the conduction band. This can involve either finite low densities, or a small number of fixed…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Yulia E. Shchadilova , Matthias Vojta , Masudul Haque

We review some exact results on Kondo impurity systems derived from Bethe-ansatz solutions and boundary conformal field theory with particular emphasis on universal aspects of the phenomenon. The finite-size spectra characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Norio Kawakami

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , S. Kehrein

A detailed study of the low-temperature physics of an interacting double quantum dot system in a T-shape configuration is presented. Each quantum dot is modeled by a single Anderson impurity and we include an inter-dot electron-electron…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 Irisnei L. Ferreira , P. A. Orellana , G. B. Martins , F. M. Souza , E. Vernek

Low-temperature electronic conductance in nanocontacts, scanning tunneling microscopy (STM), and metal break junctions involving magnetic atoms or molecules is a growing area with important unsolved theoretical problems. While the detailed…

Strongly Correlated Electrons · Physics 2014-01-08 Pier Paolo Baruselli , M. Fabrizio , A. Smogunov , R. Requist , E. Tosatti

Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; arXiv:2308.03569 (companion paper I)) and the demonstration of its validity over the past proposal of compactification, we…

Strongly Correlated Electrons · Physics 2024-08-12 Aleksandar Ljepoja , Nayana Shah , C. J. Bolech

We present a very efficient solver for the general Anderson impurity problem. It is based on the perturbation around a solution obtained from exact diagonalization using a small number of bath sites. We formulate a perturbation theory which…

Using the perturbative scaling and the NRG, we study the characteristic energy scales in the Kondo impurity problem as a function of the exchange coupling constant $J$ and the conduction electron density. We discuss the relation between the…

Strongly Correlated Electrons · Physics 2016-09-28 Rok Zitko , Alen Horvat

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

We analyze the two Anderson impurity problem, in the strong Coulomb repulsion limit, by means of variational wave functions whose equations we solve analytically. We found two pairs of Doublet states, one odd and one even with respect to…

Strongly Correlated Electrons · Physics 2007-05-23 J. Simonin

We analyze a setup composed of a correlated quantum dot (QD) coupled to one metallic lead and one end of topological chain hosting a Majorana zero mode (MZM). In such a hybrid structure, a leakage of the MZM into the region of the QD…

Mesoscale and Nanoscale Physics · Physics 2024-01-24 Jan Baranski , Magdalena Baranska , Tomasz Zienkiewicz , Justyna Tomaszewska , Konrad Jerzy Kapcia

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting