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In order to quantify quantum entanglement in two impurity Kondo systems, we calculate the concurrence, negativity, and von Neumann entropy. The entanglement of the two Kondo impurities is shown to be determined by two competing many-body…

Quantum Physics · Physics 2009-11-11 Sam Young Cho , Ross H. McKenzie

We present a thermodynamic description of a single magnetic impurity at the edge of a superconducting wire. The impurity exhibits four phases $\unicode{x2014}$ Kondo, Yu-Shiba-Rusinov (YSR) I and II, and local moment $\unicode{x2014}$ a…

Strongly Correlated Electrons · Physics 2025-08-28 Pradip Kattel , Abay Zhakenov , Natan Andrei

We consider a single impurity atom trapped in a double well (DW) potential created by a dipolar two-soliton molecule in a quasi-one-dimensional geometry. By solving the eigenvalue problem for the impurity atom in the DW potential, we find…

Quantum Gases · Physics 2026-01-27 S. M. Al-Marzoug , B. B. Baizakov , U. Al Khawaja , H. Bahlouli

We investigate a model of two Kondo impurities coupled via an Ising interaction. Exploiting the mapping to a generalized single-impurity Anderson model, we establish that the model has a singlet and a (pseudospin) doublet phase separated by…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Garst , Stefan Kehrein , Thomas Pruschke , Achim Rosch , Matthias Vojta

A general framework is proposed to tackle analytically local quantum quenches in integrable impurity systems, combining a mapping onto a boundary problem with the form factor approach to boundary-condition-changing operators introduced in…

Strongly Correlated Electrons · Physics 2013-06-17 Romain Vasseur , Kien Trinh , Stephan Haas , Hubert Saleur

We study an impurity immersed in the mixture of Bose ultracold gases in the regime where a quantum droplet exists. The quasi-one-dimensional geometry is considered. We find an effective attractive potential that acts by the quantum droplet…

Quantum Gases · Physics 2020-12-30 F. Kh. Abdullaev , R. M. Galimzyanov

We study the real-time dynamics of the Kondo effect after a quantum quench in which a magnetic impurity is coupled to two metallic Hubbard chains. Using an effective field theory approach, we find that for noninteracting electrons the…

Strongly Correlated Electrons · Physics 2023-02-08 Moallison F. Cavalcante , Rodrigo G. Pereira , Maria C. O. Aguiar

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

A Bethe Ansatz solution of a (modified) Hubbard chain with a Kondo impurity of arbitrary spin S at a highly symmetric line of parameter space is proposed and explored. Our results confirm the existence of a strong-coupling (line of)…

Strongly Correlated Electrons · Physics 2009-10-31 P. -A. Bares , K. Grzegorczyk

Zero temperature phase transitions not only occur in the bulk of quantum systems, but also at boundaries or impurities. We review recent work on quantum phase transitions in impurity models that are generalizations of the standard Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bulla , M. Vojta

A brief review is given of a new method for studying the critical behavior of quantum impurity problems, based on conformal field theory techniques, which I developed with Andreas Ludwig. Some results on the overscreened Kondo problem are…

Condensed Matter · Physics 2008-02-03 Ian Affleck

In this work we study the Kondo impurity problem - at a finite concentration of impurities. We identify two parameter regimes for the Kondo impurity problem. 1) The single impurity limit, where the concentration of Kondo impurities is so…

Strongly Correlated Electrons · Physics 2024-10-29 Garry Goldstein

The Kondo effect, deriving from a local magnetic impurity mediating electron-electron interactions, constitutes a flourishing basis for understanding a large variety of intricate many-body problems. Its experimental implementation in…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 C. Piquard , P. Glidic , C. Han , A. Aassime , A. Cavanna , U. Gennser , Y. Meir , E. Sela , A. Anthore , F. Pierre

Using the thermodynamic Bethe ansatz, we investigate the topological Kondo model, which describes a set of one-dimensional external wires, pertinently coupled to a central region hosting a set of Majorana bound states. After a short review…

Strongly Correlated Electrons · Physics 2015-05-26 Francesco Buccheri , Hrachya Babujian , Vladimir E. Korepin , Pasquale Sodano , Andrea Trombettoni

The Kondo effect is a prototypical quantum phenomenon arising from the interaction between localized electrons in a magnetic impurity and itinerant electrons in a metallic host. Although it has served as the testing ground for quantum…

Strongly Correlated Electrons · Physics 2025-07-21 Tianyu Zhu , Linqing Peng , Huanchen Zhai , Zhi-Hao Cui , Runze Chi , Garnet Kin-Lic Chan

We discuss models of interacting magnetic impurities coupled to a metallic host. If twice the sum of the impurity spins is larger than the total number of host screening channels, the system shows one or more quantum phase transitions where…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Matthias Vojta , Ralf Bulla , Walter Hofstetter

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

Central to condensed matter physics are quantum impurity models, which describe how a local degree of freedom interacts with a continuum. Surprisingly, these models are often universal in that they can quantitatively describe many outwardly…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 A. J. Keller , S. Amasha , I. Weymann , C. P. Moca , I. G. Rau , J. A. Katine , Hadas Shtrikman , G. Zaránd , D. Goldhaber-Gordon

Kondo effect in the vicinity of a singlet-triplet transition in a vertical quantum dot is considered. This system is shown to map onto a special version of the two-impurity Kondo model. At any value of the control parameter, the system has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman

Motivated by experiments on double quantum dots, we study the problem of a single magnetic impurity confined in a finite metallic host. We prove an exact theorem for the ground state spin, and use analytic and numerical arguments to map out…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ribhu K. Kaul , Gergely Zaránd , Shailesh Chandrasekharan , Denis Ullmo , Harold U. Baranger