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We adapt strong-coupling methods first used in the one-channel Kondo model to develop a simple description of the spin-$1\over 2$ two-channel Kondo model with channel anisotropy. Our method exploits spin-charge decoupling to develop a…

Condensed Matter · Physics 2009-10-28 P. Coleman , A. J. Schofield

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

We study the Kondo physics of a quantum magnetic impurity in two-dimensional topological superconductors (TSCs), either intrinsic or induced on the surface of a bulk topological insulator, using a numerical renormalization group technique.…

Superconductivity · Physics 2019-03-06 Rui Wang , W. Su , Jian-Xin Zhu , C. S. Ting , Hai Li , Changfeng Chen , Baigeng Wang , Xiaoqun Wang

We discuss a possible realization of overscreened multi-channel Kondo model in quasi-one-dimensional magnets.

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. M. Tsvelik , Wei-Guo Yin

An asymptotically exact solution is presented for the two-impurity Kondo model for a finite region of the parameter space surrounding the critical point. This region is located in the most interesting intermediate regime where RKKY…

Condensed Matter · Physics 2009-10-22 Junwu Gan

Generalized quantum impurity models -- which feature a few localized and strongly-correlated degrees of freedom coupled to itinerant conduction electrons -- describe diverse physical systems, from magnetic moments in metals to…

Strongly Correlated Electrons · Physics 2024-10-23 Jonas B. Rigo , Andrew K. Mitchell

We study the system of two magnetic impurities described by a two-impurity Kondo model where only the first impurity couples directly to the conduction band, while the second impurity interacts with the first through Heisenberg exchange…

Strongly Correlated Electrons · Physics 2009-12-14 Rok Zitko

We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

We analyze the nonequilibrium Kondo model at finite voltage and temperature by using a new formulation of the real-time renormalization group method with the Laplace variable as the flow parameter. We evaluate the energy-dependent spin…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Mikhail Pletyukhov , Herbert Schoeller

We study the problem of a boundary magnetic impurity coupled with the solvable $t-J$ chains. Our model provides a good start point to understand the Kondo problem in a Luttinger liquid as well as in a strongly correlated host. The Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 Jianhui Dai , Yupeng Wang

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

We review a recently developed method, based on a pseudoparticle representation of correlated electrons, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. The role of the projection onto the physical…

Strongly Correlated Electrons · Physics 2020-04-20 Johann Kroha , Peter Wölfle

A Kondo model for three spin-one-half impurities placed at the vertices of an equilateral triangle is studied using the numerical renormalization-group method. The impurity spins can form two frustrated doublets which, because of the…

Condensed Matter · Physics 2007-05-23 Bruce C. Paul , Kevin Ingersent

Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance within the two-lead two-channel single-impurity Anderson model where the conduction electron density of states vanishes in a power-law fashion $…

Strongly Correlated Electrons · Physics 2013-02-20 Tsung-Han Lee , Kenneth Yi-Jieh Zhang , Chung-Hou Chung , Stefan Kirchner

Spin dynamics in the Kondo impurity model, initiated by suddenly switching the direction of a local magnetic field, is studied by means of the time-dependent density-matrix renormalization group. Quantum effects are identified by systematic…

Strongly Correlated Electrons · Physics 2016-10-31 Mohammad Sayad , Roman Rausch , Michael Potthoff

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We study the Kondo resonance in a spin-1/2 single impurity Anderson model with a gapless conduction band using the equation of motion approach in order to obtain the impurity spectral function. We study two different scenarios for gapless…

Strongly Correlated Electrons · Physics 2009-10-20 R. G. Dias , Lidia del Rio , A. V. Goltsev

We investigate the boundary effects that arise when spin-$\frac{1}{2}$ impurities interact with the edges of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain through spin exchange interactions. We consider both cases when the…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Patrick Azaria , Natan Andrei

We consider a magnetic impurity deposited on the surface of a strong topological insulator and interacting with the surface modes by a Kondo exchange interaction. Taking into account the warping of the Fermi line of the surface modes, we…

Strongly Correlated Electrons · Physics 2016-03-10 Edmond Orignac , Sébastien Burdin

We derive the topological Kondo Hamiltonian describing a Y junction of three XX-spin chains connected to outer quantum Ising chains with different tilting angles for the Ising axis. We show that the tilting angles in the spin models play…

Strongly Correlated Electrons · Physics 2020-10-01 Domenico Giuliano , Andrea Nava , Pasquale Sodano