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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

Within the nuclear Fermi-liquid drop model, quantum and thermal fluctuations are considered by use of the Landau-Vlasov-Langevin equation. The spectral correlation function of the nuclear surface fluctuations is evaluated in a simple model…

Nuclear Theory · Physics 2009-10-30 D. Kiderlen , V. M. Kolomietz , S. Shlomo

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

Three-dimensional electron gases in strong magnetic fields host partially flat bands that disperse along the field direction yet exhibit Landau-level quantization in the transverse dimensions. Early work established that for spin-polarized…

Strongly Correlated Electrons · Physics 2026-02-13 Nandagopal Manoj , Valerio Peri , Jason Alicea

The interplay of disorder and interactions is a subject of perennial interest. In this work, we have investigated the effect of disorder due to chemical substitution on the dynamics and transport properties of correlated Fermi liquids. A…

Strongly Correlated Electrons · Physics 2014-03-07 N. S. Vidhyadhiraja , Pramod Kumar

We analyse the long-wavelength response of a normal Fermi liquid using Landau theory. We consider contributions from intermediate states containing one additional quasiparticle-quasihole pair as well as those from states containing two or…

Nuclear Theory · Physics 2009-11-11 G. I. Lykasov , E. Olsson , C. J. Pethick

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

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

We present a general model of disorder in Kondo alloys that, under certain conditions, leads to non-Fermi liquid behavior. The central underlying idea is the presence of a distribution of local Kondo temperature scales. If this distribution…

Strongly Correlated Electrons · Physics 2008-02-03 E. Miranda , V. Dobrosavljevic , G. Kotliar

Strongly correlated Fermi systems are fundamental systems in physics that are best studied experimentally, which until very recently have lacked theoretical explanations. This review discusses the construction of a theory and the analysis…

Strongly Correlated Electrons · Physics 2010-06-30 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , K. G. Popov

This report is devoted to the building of the theory and analyzing the phenomenon which take place in such strong correlated Fermi systems as High temperature superconductors, metals with heavy fermions and quasi two dimensional…

Strongly Correlated Electrons · Physics 2008-12-17 Konstantin Popov

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau parameters within the dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2019-06-18 Friedrich Krien , Erik G. C. P. van Loon , Mikhail I. Katsnelson , Alexander I. Lichtenstein , Massimo Capone

A variety of low-temperature, normal-state properties of optimally and overdoped cuprate superconductors, including the DC and optical transport responses, are sufficiently anomalous that they might seem to be inconsistent with any…

Strongly Correlated Electrons · Physics 2022-12-07 Erez Berg , Gaël Grissonnanche , Steven A. Kivelson , Chaitanya Murthy , Akshat Pandey , B. J. Ramshaw , Boris Z. Spivak

Non-Fermi liquid behavior is shown to occur in two-dimensional metals which are close to a charge ordering transition driven by the Coulomb repulsion. A linear temperature dependence of the scattering rate together with an increase of the…

Strongly Correlated Electrons · Physics 2009-11-11 J. Merino , A. Greco , N. Drichko , M. Dressel

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics of superfluids has dominated the study of these systems for decades now, but a comprehensive theoretical framework…

Quantum Gases · Physics 2011-08-19 Aurel Bulgac , Yuan-Lung , Luo , Piotr Magierski , Kenneth J. Roche , Yongle Yu

I show that when non-linearities are taken into account the Landau theory of Fermi liquids predicts the existence of hyperbolic waves in fermionic systems. The zero sound is described by a infinite set of coupled non-linear partial…

Condensed Matter · Physics 2007-05-23 A. H. Castro Neto

A unitary Fermi gas has a surprisingly rich spectrum of large amplitude modes of the pairing field alone, which defies a description within a formalism involving only a reduced set of degrees of freedom, such as quantum hydrodynamics or a…

Statistical Mechanics · Physics 2009-02-25 Aurel Bulgac , Sukjin Yoon

A scaling consideration of the Kondo lattices is performed with account of singularities in the spin excitation spectral function. It is shown that a non-Fermi-liquid (NFL) behavior between two critical values of the bare $s-f$ coupling…

Strongly Correlated Electrons · Physics 2009-10-31 V. Yu. Irkhin , M. I. Katsnelson

Motivated by a recent experimental observation of a nodal liquid on both single crystals and thin films of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by Chatterjee \emph{et al.} [Nature Physics \textbf{6}, 99 (2010)], we perform a field-theoretical…

Strongly Correlated Electrons · Physics 2015-06-15 Vanuildo S. de Carvalho , Hermann Freire

Strong correlation, when combined with dissipation in open systems, can lead to a variety of exotic quantum phenomena. Here, we study nontrivial interplays between non-Fermi liquid behaviors emerging from strong correlation and…

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