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An ultrasmall quantum dot coupled to a lead and to a quantum box (a large quantum dot) is investigated. Tuning the tunneling amplitudes to the lead and box, we find a line of unstable non-Fermi-liquid fixed points as function of the gate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frithjof B. Anders , Eran Lebanon , Avraham Schiller

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of…

Strongly Correlated Electrons · Physics 2014-12-05 Lucile Savary , Eun-Gook Moon , Leon Balents

Quantum phase transitions (QPTs) arise as a result of competing interactions in a quantum many-body system. Kondo lattice models, containing a lattice of localized magnetic moments and a band of conduction electrons, naturally feature such…

Strongly Correlated Electrons · Physics 2015-05-20 Qimiao Si

This review article describes theoretical and experimental advances in using quantum dots as a system for studying impurity quantum phase transitions and the non-Fermi liquid behavior at the quantum critical point.

Mesoscale and Nanoscale Physics · Physics 2013-10-01 I. G. Rau , S. Amasha , Y. Oreg , D. Goldhaber-Gordon

Quantum phase transitions in metals are often accompanied by violations of Fermi liquid behavior in the quantum critical regime. Particularly fascinating are transitions beyond the Landau-Ginzburg-Wilson concept of a local order parameter.…

Strongly Correlated Electrons · Physics 2010-10-01 Matthias Vojta

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further increase of the magnetic field eventually…

Strongly Correlated Electrons · Physics 2018-07-17 Dimitri Pimenov , Ipsita Mandal , Francesco Piazza , Matthias Punk

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art…

Strongly Correlated Electrons · Physics 2019-08-13 Zi Hong Liu , Gaopei Pan , Xiao Yan Xu , Kai Sun , Zi Yang Meng

We consider quantum critical points (QCP) in which quantum fluctuations associated with charge rather than magnetic order induce unconventional metallic properties. Based on finite-T calculations on a two-dimensional extended Hubbard model…

Strongly Correlated Electrons · Physics 2015-05-18 Laura Cano-Cortes , Jaime Merino , Simone Fratini

Notable non-Fermi liquid and quantum critical behaviors are observed in rare-earth metallic systems with non-Kramers local moments supporting a number of different multipolar moments. A prominent example is…

Strongly Correlated Electrons · Physics 2022-11-24 SangEun Han , Daniel J. Schultz , Yong Baek Kim

Role of quenched randomness in metallic quantum criticality is one of the long standing problems in condensed matter physics. An aspect of the fundamental difficulties lies in the fact that such nonmagnetic disorders lead effective…

Strongly Correlated Electrons · Physics 2024-03-19 Kyoung-Min Kim , Ki-Seok Kim

This review illustrates how Local Fermi Liquid (LFL) theories describe the strongly correlated and coherent low-energy dynamics of quantum dot devices. This approach consists in an effective elastic scattering theory, accounting exactly for…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Michele Filippone , Arthur Marguerite , Karyn Le Hur , Gwendal Fève , Christophe Mora

Theoretically, it is commonly held that in metals near a nematic quantum critical point the electronic excitations become incoherent on the entire `hot' Fermi surface, triggering non Fermi liquid behavior. However, such conclusions are…

Strongly Correlated Electrons · Physics 2018-06-01 I. Paul , M. Garst

We address the global magnetic phase diagram of Kondo lattice systems. Through the distinct Fermi surface properties of the various phases at zero temperature, we argue that the phase diagram supports two classes of quantum critical point.…

Strongly Correlated Electrons · Physics 2011-12-14 Qimiao Si

We report the first numerical identification of a locally quantum critical point, at which the criticality of the local Kondo physics is embedded in that associated with a magnetic ordering. We are able to numerically access the quantum…

Strongly Correlated Electrons · Physics 2009-11-07 D. R. Grempel , Qimiao Si

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent

A century after the advent of Quantum Mechanics and General Relativity, both theories enjoy incredible empirical success, constituting the cornerstones of modern physics. Yet, paradoxically, they suffer from deep-rooted, so-far intractable,…

Quantum Physics · Physics 2017-03-20 Elizabeth S. Gould , Niayesh Afshordi

Quantum critical systems derive their finite temperature properties from the influence of a zero temperature quantum phase transition. The paradigm is essential for understanding unconventional high-Tc superconductors and the non-Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 A. J. Keller , L. Peeters , C. P. Moca , I. Weymann , D. Mahalu , V. Umansky , G. Zaránd , D. Goldhaber-Gordon

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

Heavy fermion metals typically exhibit unconventional quantum critical point or quantum critical phase at zero temperature due to competition of Kondo effect and magnetism. Previous theories were often based on certain local type of…

Strongly Correlated Electrons · Physics 2021-10-12 Jiangfan Wang , Yi-feng Yang

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi