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We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Skorik

Strange metals appear in a wide range of correlated materials. Electronic localization-delocalization and the expected loss of quasiparticles characterize beyond-Landau metallic quantum critical points and the associated strange metals.…

Strongly Correlated Electrons · Physics 2023-08-29 Chia-Chuan Liu , Silke Paschen , Qimiao Si

The numerical renormalization group is used to study quantum entanglement in the Kondo impurity model with a pseudogapped density of states $\rho(\varepsilon)\propto|\varepsilon|^r$ ($r>0$) that vanishes at the Fermi energy $\varepsilon=0$.…

Strongly Correlated Electrons · Physics 2018-10-10 Christopher Wagner , Tathagata Chowdhury , J. H. Pixley , Kevin Ingersent

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent

We present a theoretical study based on the Anderson model of the transport properties of a Kondo impurity (atom or quantum dot) connected to ferromagnetic leads, which can sustain a non-equilibrium spin current. We analyze the case where…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Jong Soo Lim , Rosa Lopez , Laurent Limot , Pascal Simon

We study a localized spin coupled to an Anderson impurity to model the situation found in higher transition metal or rare earth compounds like e.g.\ LaMnO$_3$ or Gd monopnictides. We find that, even for large quantum numbers of the…

Strongly Correlated Electrons · Physics 2007-05-23 Robert Peters , Thomas Pruschke

We consider the SU(N) x SU(kappa N) generalization of the spin-isotropic Bose-Fermi Kondo model in the limit of large N. There are three fixed points corresponding to a multi-channel non-Fermi liquid phase, a local spin-liquid phase, and a…

Strongly Correlated Electrons · Physics 2016-08-31 Stefan Kirchner , Lijun Zhu , Qimiao Si

A Coqblin-Schrieffer impurity of spin $S$ coupled to the boundary of an open SU(N)-invariant $t-J$ chain with $N = 2S+2$ is studied. The model is integrable as a function of one coupling parameter $v$ for arbitrary spin and band filling.…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang , P. Schlottmann

We propose an integrable model of the spin-1/2 Heisenberg chain coupled to two impurity moments. With the open boundary conditions at the impurity sites, the model can be exactly solved for arbitrary impurity spin and arbitrary exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang

We study the impurity entanglement entropy $S_e$ in quantum impurity models that feature a Kondo-destruction quantum critical point (QCP) arising from a pseudogap in the conduction-band density of states or from coupling to a bosonic bath.…

Strongly Correlated Electrons · Physics 2015-12-09 J. H. Pixley , Tathagata Chowdhury , M. T. Miecnikowski , Jaimie Stephens , Christopher Wagner , Kevin Ingersent

We present a new formulation of the theory of an arbitrary quantum impurity in an antiferromagnet, using the O(3) non-linear sigma model. We obtain the low temperature expansion for the impurity spin susceptibilities of antiferromagnets…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

The problem of a local impurity in a Luttinger liquid, just like the anisotropic Kondo problem (of which it is technically a cousin), describes many different physical systems. As shown by Kane and Fisher, the presence of interactions…

Strongly Correlated Electrons · Physics 2025-01-09 Chunyu Tan , Yuxiao Hang , Stephan Haas , Hubert Saleur

The free electron Kondo problem can be described by a one-dimensional (1D) model because only the s-wave part of the electronic wave-function is affected by the Kondo coupling. Since only the spin degrees of freedom are involved in the…

Strongly Correlated Electrons · Physics 2008-03-05 Nicolas Laflorencie , Erik S. Sørensen , Ian Affleck

We develop a unified theoretical framework for the anisotropic Kondo model and the boundary sine-Gordon model. They are both boundary integrable quantum field theories with a quantum-group spin at the boundary which takes values,…

Condensed Matter · Physics 2009-10-28 P. Fendley , F. Lesage , H. Saleur

The two-channel Kondo impurity model realizes a local non-Fermi liquid state with finite residual entropy. The competition between the two channels drives the system to an impurity quantum critical point. We show that the…

Strongly Correlated Electrons · Physics 2017-10-16 Balázs Dóra , Miklós Antal Werner , Catalin Pascu Moca

We study the T=0 Kondo physics of a spin-1/2 impurity in a non-centrosymmetric metal with spin-orbit interaction. Within a simple variational approach we compute ground state properties of the system for an {\it arbitrary} form of…

Strongly Correlated Electrons · Physics 2012-02-23 L. Isaev , D. F. Agterberg , I. Vekhter

We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations…

Statistical Mechanics · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla

We show that the two-impurity Anderson model exhibits an additional quantum critical point at infinitely many specific distances between both impurities for an inversion symmetric one-dimensional dispersion. Unlike the quantum critical…

Strongly Correlated Electrons · Physics 2018-08-24 Benedikt Lechtenberg , Fabian Eickhoff , Frithjof B. Anders

We consider an impurity in a semi-infinite one-dimensional system of weakly-interacting bosons. We calculate the interaction potential for the impurity due to the end of the system, i.e., the wall. For local repulsive (attractive)…

Quantum Gases · Physics 2019-12-19 Benjamin Reichert , Aleksandra Petkovic , Zoran Ristivojevic

We study a single channel one dimensional Kondo Model where the impurity spin is replaced by an su(n) spin. Using Abelian bosonization and canonical transformation we explicitly show that this system has an exactly solvable point. The…

Mesoscale and Nanoscale Physics · Physics 2010-11-05 Solomon Duki