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We determine the impurity-induced free energy and the impurity-induced zero-field susceptibility of the symmetric single-impurity Kondo model from weak-coupling perturbation theory up to third order in the Kondo coupling at low temperatures…

Strongly Correlated Electrons · Physics 2024-03-26 Kevin Bauerbach , Florian Gebhard

A generalized Anderson model for a magnetic ion in a harmonic potential is formulated. The model is investigated by the numerical renormalization group(NRG) method. In addition to the conventional s-wave screening, the model exhibits phonon…

Strongly Correlated Electrons · Physics 2015-05-19 Satoshi Yashiki , Shunsuke Kirino , Kazuo Ueda

We present a unified framework for renormalization group methods, including Wilson's numerical renormalization group (NRG) and White's density-matrix renormalization group (DMRG), within the language of matrix product states. This allows…

Strongly Correlated Electrons · Physics 2009-10-14 A. Weichselbaum , F. Verstraete , U. Schollwöck , J. I. Cirac , Jan von Delft

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models.…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla

Quantum spin impurities coupled to superconductors are under intense investigation for their relevance to fundamental research as well as the prospects to engineer novel quantum phases of matter. Here we develop a large-$N$ mean-field…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Chen-How Huang , Alejandro M. Lobos , Miguel A. Cazalilla

A detailed derivation of the recently proposed time-dependent numerical renormalization-group (TD-NRG) approach to nonequilibrium dynamics in quantum impurity systems is presented. We demonstrate that the method is suitable for fermionic as…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders , Avraham Schiller

We analyze the spatial correlations in the spin density of an electron gas in the vicinity of a Kondo impurity. Our analysis extends to the spin-anisotropic regime, which was not investigated in the literature. We use an original and…

Strongly Correlated Electrons · Physics 2015-11-09 Serge Florens , Izak Snyman

Magnetic impurities are responsible for many interesting phenomena in condensed matter systems, notably the Kondo effect and quantum phase transitions. Here we present a holographic model of a magnetic impurity that captures the main…

High Energy Physics - Theory · Physics 2016-11-03 J. Erdmenger , M. Flory , C. Hoyos , M-N. Newrzella , A. O'Bannon , J. Wu

We derive the multiscale entanglement renormalization ansatz (MERA) for the single impuity Kondo model. We find two types of hidden quantum entanglement: one comes from a finite-temperature effect on the geometry of the MERA network, and…

Statistical Mechanics · Physics 2012-08-15 Hiroaki Matsueda

We investigate the boundary phenomena that arise in a finite-size $XX$ spin chain interacting through an $XX$ interaction with a spin$-\frac{1}{2}$ impurity located at its edge. Upon Jordan-Wigner transformation, the model is described by a…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

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 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

The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for…

Strongly Correlated Electrons · Physics 2015-05-13 Yunong Qi , Jian-Xin Zhu , C. S. Ting

We study the low-temperature properties of the generalized Anderson impurity model in which two localized configurations, one with two doublets and the other with a triplet, are mixed by two degenerate conduction channels. By using the…

Strongly Correlated Electrons · Physics 2019-09-04 G. G. Blesio , L. O. Manuel , A. A. Aligia , P. Roura-Bas

We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a $(0+1)$-dimensional impurity spin of a gauged $SU(N)$ interacting with a $(1+1)$-dimensional,…

High Energy Physics - Theory · Physics 2017-03-24 Johanna Erdmenger , Carlos Hoyos , Andy O'Bannon , Ioannis Papadimitriou , Jonas Probst , Jackson M. S. Wu

We propose a method to directly measure, by electrical means, the Kondo screening cloud formed by an Anderson impurity coupled to semi-infinite quantum wires, on which an electrostatic gate voltage is applied at distance L from the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Jinhong Park , S. -S. B. Lee , Yuval Oreg , H. -S. Sim

The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures. While many implications of the Kondo cloud's existence have…

Mesoscale and Nanoscale Physics · Physics 2021-06-28 André Erpenbeck , Guy Cohen

We study the entanglement of an impurity at one end of a spin chain with a block of spins using negativity as a true measure of entanglement to characterize the unique features of the gapless Kondo regime in the spin chain Kondo model. For…

Strongly Correlated Electrons · Physics 2015-05-13 Abolfazl Bayat , Pasquale Sodano , Sougato Bose

We investigate Kondo correlations in a quantum dot with normal and superconducting electrodes, where a spin bias voltage is applied across the device and the local interaction $U$ is either attractive or repulsive. When the spin current is…

Strongly Correlated Electrons · Physics 2018-06-13 Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

The Kondo effect in quantum dots attached to ferromagnetic leads with general polarization directions is studied combining poor man scaling and Wilson's numerical renormalization group methods. We show that polarized electrodes will lead in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Simon , P. S. Cornaglia , D. Feinberg , C. A. Balseiro