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The long-thought charge Kondo effects have recently been experimentally realized in the quantum Hall regime. This experiment, supported by numerics, exemplifies the realization of two-channel Kondo state, a non-Fermi Liquid, and its…

Strongly Correlated Electrons · Physics 2017-08-31 Zhi-qiang Bao , Fan Zhang

We study an exactly-solvable model which shows a zero-temperature transition from a non-Fermi liquid to a Fermi liquid as a function of particle density. The quantum critical point separating these two states is not associated with the…

Strongly Correlated Electrons · Physics 2016-08-31 P. C. Howell , A. J. Schofield

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

The non-Fermi-liquid properties of an ultrasmall quantum dot coupled to a lead and to a quantum box are investigated. Tuning the ratio of the tunneling amplitudes to the lead and box, we find a line of two-channel Kondo fixed points for…

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

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

Quantum criticality arises when a macroscopic phase of matter undergoes a continuous transformation at zero temperature. While the collective fluctuations at quantum-critical points are being increasingly recognized as playing an important…

A quantum phase transition that was recently observed in a high-mobility silicon MOSFET is analyzed in terms of a scaling theory. The most striking characteristic of the transition is a divergence of the thermopower, according to an inverse…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

We discuss the realization of the quantum-critical non-Fermi liquid state, originally discovered within the two-impurity Kondo model, in double quantum-dot systems. Contrary to the common belief, the corresponding fixed point is robust…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gergely Zarand , Chung-Hou Chung , Pascal Simon , Matthias Vojta

Numerical renormalization-group results on entropy of the anisotropic two-channel Kondo model with the band-width cutoff ($D$) in the presence of a magnetic field ($h$) are obtained to determine crossover temperature from the non-Fermi…

Condensed Matter · Physics 2009-11-07 Satoshi Yotsuhashi , Hideaki Maebashi

By means of a specific heat ($C$) and electrical resistivity ($\varrho$) study, we give evidence of a pronounced Fermi liquid (FL) behavior with sizable mass renormalization, $m^{\ast}/m = 30$, up to unusually high temperatures $\sim$70 K…

Strongly Correlated Electrons · Physics 2019-09-04 A. Gauzzi , H. Moutaabbid , Y. Klein , G. Loupias , V. Hardy

This article is aimed at a pedagogical introduction to the physics of quantum phase transitions that is unique to metallic systems. It has been recognized for some time that quantum criticality can result in a breakdown of Landau's Fermi…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

In these lecture notes we review some recent attempts at searching for non-Fermi liquids and novel quantum phase transitions in holographic systems using gauge/gravity duality. We do this by studying the simplest finite density system…

High Energy Physics - Theory · Physics 2017-08-23 Nabil Iqbal , Hong Liu , Márk Mezei

Metallic quantum criticality is frequently discussed as a source for non-Fermi liquid behavior, but controlled theoretical treatments are scarce. Here we identify and study a novel magnetic quantum critical point in a two-dimensional…

Strongly Correlated Electrons · Physics 2023-10-10 Bernhard Frank , Zi Hong Liu , Fakher F. Assaad , Matthias Vojta , Lukas Janssen

A multichannel Kondo system, where a single quantum spin couples to multiple channels of an electronic bath, provides one of the simplest examples of a zero-dimensional non-Fermi liquid. It is natural to ask: what happens when an extensive…

Strongly Correlated Electrons · Physics 2025-10-24 Simon Martin , Marcin Raczkowski , Fakher F. Assaad , Tarun Grover

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

The identification of magnetic quantum critical points in heavy fermion metals has provided an ideal setting for experimentally studying quantum criticality. Motivated by these experiments, considerable theoretical efforts have recently…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si , Jian-Xin Zhu , D. R. Grempel

An exact expression is derived for the electron Green function in two-channel Kondo models with one and two impurities, describing the crossover from non-Fermi liquid (NFL) behavior at intermediate temperatures to standard Fermi liquid (FL)…

Strongly Correlated Electrons · Physics 2012-06-19 Andrew K. Mitchell , Eran Sela

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

Quantum critical behavior in the two-impurity Kondo model requires the distinct separation of two scales, T_K >> T*, where T_K is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Justin Malecki , Eran Sela , Ian Affleck
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