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We discuss Kondo effect for a general model, describing a quantum impurity with degenerate energy levels, interacting with a gas of itinerant electrons, and derive scaling equation to the second order for such a model. We show how the…

Mesoscale and Nanoscale Physics · Physics 2018-08-02 E. Kogan

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

Using derived previously effective theory we explore conductance in the Luttinger model with one impurity. A new approach to the renormalization group (RG) analysis of this model is developed. It is based on the original Gell-Mann-Low…

Strongly Correlated Electrons · Physics 2019-09-23 V. Afonin , V. Petrov

We derive the third-order poor man's scaling equation for a generic Hamiltonian describing a quantum impurity embedded into an itinerant electron gas. We show that the $XYZ$ Coqblin--Schrieffer model introduced by one of us earlier is…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Eugene Kogan , Zheng Shi

We analyze the crossover from Kondo to weak-link regime by means of a model of tunable bond impurities in the middle of a spin-1/2 XXZ Heisenberg chain. We study the Kondo screening cloud and estimate the Kondo length by combining…

Strongly Correlated Electrons · Physics 2019-01-01 Domenico Giuliano , Davide Rossini , Andrea Trombettoni

We use the poor man's scaling approach to study the phase boundaries of a pair of quantum impurity models featuring a power-law density of states $\rho(\omega)\propto|\omega|^r$ that gives rise to quantum phase transitions between…

Strongly Correlated Electrons · Physics 2017-07-12 Mengxing Cheng , Tathagata Chowdhury , Aaron Mohammed , Kevin Ingersent

The Kondo effect in a one-dimensional spin-1/2 XXZ model in the gapless XY regime (-1<Delta<=1) is studied both analytically and numerically. In our model an impurity spin (S=1/2) is coupled to a single spin in the XXZ spin chain.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , T. Hikihara

Since the experimental realization of Kondo physics in quantum dots, its far-from-equilibrium properties have generated considerable theoretical interest. This is due to the interesting interplay of non-equilibrium physics and correlation…

Strongly Correlated Electrons · Physics 2015-05-18 V. Koerting , P. Fritsch , S. Kehrein

We make a precise scaling conjecture, based on renormalization group ideas, regarding the screening cloud around an impurity spin in the Kondo effect and test it numerically using the Density Matrix Renormalization Group method.

Condensed Matter · Physics 2007-05-23 Erik Sorensen , Ian Affleck

We consider the universal scaling behaviour of the Kondo resonance in the strong coupling limit of the symmetric Anderson impurity model, using a recently developed local moment approach. The resultant scaling spectrum is obtained in closed…

Strongly Correlated Electrons · Physics 2009-11-07 Nigel L Dickens , David E Logan

A scaling theory of the Kondo lattices with frustrated exchange interactions is developed, criterium of antiferromagnetic ordering and quantum-disordered state being investigated. The calculations taking into account magnon and incoherent…

Strongly Correlated Electrons · Physics 2019-12-18 V. Yu. Irkhin

A theoretical concept is presented for the screening of several magnetic moments locally exchange coupled to conduction electrons in a metallic nanostructure. We consider a quantum confined multi-impurity Kondo model which exhibits the…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff , Andrew K. Mitchell

We study the Kondo model --a magnetic impurity coupled to a one dimensional wire via exchange coupling-- by using Wilson's numerical renormalization group (NRG) technique. By applying an approach similar to which was used to compute the two…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda

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 consider a magnetic impurity coupled to the hybridizing and screening channels of a conduction band. The model is solved in the framework of poor man's scaling and Cardy's generalized theories. We point out that it is important to…

Condensed Matter · Physics 2009-10-28 Yue Yu , Yanmin Li , Nick d'Ambrumenil

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 carry out a field-theoretical renormalization group procedure based on the Callan-Symanzik equation to calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. In doing so, we go beyond the…

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

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 investigate dimerized quantum spin systems using the spin functional renormalization group approach proposed by Krieg and Kopietz [Phys. Rev. B 99, 060403(R) (2019)] which directly focuses on the physical spin correlation functions and…

Strongly Correlated Electrons · Physics 2022-06-16 Andreas Rückriegel , Jonas Arnold , Raphael Goll , Peter Kopietz

Using a recently developed perturbative renormalization group (RG) scheme, we calculate analytically the spectral function of a Kondo impurity for either large frequencies w or large magnetic field B and arbitrary frequencies. For large w…

Strongly Correlated Electrons · Physics 2009-11-10 A. Rosch , T. A. Costi , J. Paaske , P. Wölfle
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