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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

It is shown that the large-N approach yields two energy scales for the Kondo lattice model. The single-impurity Kondo temperature, $T_K$, signals the onset of local singlet formation, while Fermi liquid coherence sets in only below a lower…

Strongly Correlated Electrons · Physics 2009-10-31 S. Burdin , A. Georges , D. R. Grempel

The Kondo effect is an ubiquitous phenomenon appearing at low temperature in quantum confined systems coupled to a continuous bath. Efforts in understanding and controlling it have triggered important developments across several disciplines…

Strongly Correlated Electrons · Physics 2015-12-09 Lei Wang , Hiroshi Shinaoka , Matthias Troyer

We explore the Kondo effect incorporating the localized impurity transforming under generic symmetry group $G$, that we call the $G$-Kondo effect. We derive the one-dimensional effective model coupled with the impurity, and studied the…

Strongly Correlated Electrons · Physics 2021-01-29 Taro Kimura

A unified perspective is given on a number of different problems involving the coupling of a localized quantum spin degree of freedom to the low energy excitations of an antiferromagnet, a spin glass, or a Kondo insulator. The problems are…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

We calculate the exact spectral function of a single impurity repulsively interacting with a bath of fermions in one-dimensional lattices, by deriving the explicit expression of the form factor for both regular Bethe states and the…

Quantum Gases · Physics 2025-04-22 Hui Hu , Jia Wang , Xia-Ji Liu

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 study the thermodynamics of a one-dimensional attractive Fermi gas (the Gaudin-Yang model) with spin imbalance. The exact solution has been known from the thermodynamic Bethe ansatz for decades, but it involves an infinite number of…

Quantum Gases · Physics 2010-04-22 Erhai Zhao , Xi-Wen Guan , W. Vincent Liu , M. T. Batchelor , Masaki Oshikawa

Low temperature transport through a quantum dot in the Kondo regime proceeds by a universal combination of elastic and inelastic processes, as dictated by the low-energy Fermi-liquid fixed point. We show that as a result of inelastic…

Strongly Correlated Electrons · Physics 2015-06-25 Eran Sela , Yuval Oreg , Felix von Oppen , Jens Koch

The Kondo problem of two impurities in 1D strongly correlated electron system within the framework of the open boundary Hubbard chain is solved and the impurities, coupled to the ends of the electron system, are introduced by their…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck , Erik S. Sørensen

The question of how localized electrons interact with delocalized electrons is central to many problems at the forefront of solid state physics. The simplest example is the Kondo phenomenon, which occurs when an impurity atom with an…

Strongly Correlated Electrons · Physics 2009-10-30 D. Goldhaber-Gordon , Hadas Shtrikman , D. Mahalu , David Abusch-Magder , U. Meirav , M. A. Kastner

The dynamics of a single impurity interacting with a many particle background is one of the central problems of condensed matter physics. Recent progress in ultracold atom experiments makes it possible to control this dynamics by coupling…

Quantum Gases · Physics 2015-06-03 F. Nur Ünal , Balázs Hetényi , M. Ö. Oktel

We consider an impurity in a sea of zero-temperature fermions uniformly distributed throughout the space. The impurity scatters on fermions. On average, the momentum of impurity decreases with time as $t^{-1/(d+1)}$ in $d$ dimensions, and…

Quantum Gases · Physics 2024-09-10 P. L. Krapivsky

The low-lying eigenstates of a one-dimensional (1D) system of many impenetrable point bosons and one moving impurity particle with repulsive zero-range impurity-boson interaction are found for all values of the impurity-boson mass ratio and…

Other Condensed Matter · Physics 2009-11-13 M. D. Girardeau , A. Minguzzi

The Kondo effect in condensed-matter systems manifests itself most sharply in their transport measurements. Here we propose an analogous transport signature of the orbital Kondo effect realized with ultracold atoms. Our system consists of…

Quantum Gases · Physics 2016-01-27 Yusuke Nishida

A major challenge in modern physics is to accurately describe strongly interacting quantum many-body systems. One-dimensional systems provide fundamental insights since they are often amenable to exact methods. However, no exact solution is…

Quantum Gases · Physics 2015-07-28 Jesper Levinsen , Pietro Massignan , Georg M. Bruun , Meera M. Parish

We study the higher-order Fermi-liquid relations of Kondo systems for arbitrary impurity-electron fillings, extending the many-body quantum theoretical approach of Yamada-Yosida. It includes partly a microscopic clarification of the related…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Akira Oguri , A. C. Hewson

Non-Hermitian multichannel Kondo problems host both non-Fermi liquid and non-Hermitian physics, which provide a prototypical model to explore exotic collective quantum phenomena driven by the two different ingredients. Here, we first…

Strongly Correlated Electrons · Physics 2026-03-30 Wei-Zhu Yi , Yun Chen , Jun-Jun Pang , Hong Chen , Baigeng Wang , Rui Wang

We present a theory of radio-frequency spectroscopy of impurities interacting with a quantum gas at finite temperature. By working in the canonical ensemble of a single impurity, we show that the impurity spectral response is directly…

Quantum Gases · Physics 2020-08-12 Weizhe Edward Liu , Zhe-Yu Shi , Meera M. Parish , Jesper Levinsen
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