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These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carlo Di Castro , Roberto Raimondi

Systematic deviations from standard Fermi-liquid behavior have been widely observed and documented in several classes of strongly correlated metals. For many of these systems, mounting evidence is emerging that the anomalous behavior is…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Miranda , V. Dobrosavljevic

Temperature dependent transport of disordered electronic systems is examined in the presence of strong correlations. In contrast to what is assumed in Fermi liquid approaches, finite temperature behavior in this regime proves largely…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic , E. Abrahams , G. Kotliar

The interplay of interactions and disorder in two-dimensional (2D) electron systems has actively been studied for decades. The paradigmatic approach involves starting with a clean Fermi liquid and perturbing the system with both disorder…

Strongly Correlated Electrons · Physics 2020-12-29 P. A. Nosov , I. S. Burmistrov , S. Raghu

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

Several new aspects of the subtle interplay between electronic correlations and disorder are reviewed. First, the dynamical mean-field theory (DMFT)together with the geometrically averaged ("typical") local density of states is employed to…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , U. Yu , D. Vollhardt

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

The effect of substrate bias and surface gate voltage on the low temperature resistivity of a Si-MOSFET is studied for electron concentrations where the resistivity increases with increasing temperature. This technique offers two degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Lewalle , M. Pepper , C. J. B. Ford , E. H. Hwang , S. Das Sarma , D. J. Paul , G. Redmond

The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with that of a non-interacting system. In the…

Strongly Correlated Electrons · Physics 2015-05-13 Philip Phillips , Ting-Pong Choy , Robert G. Leigh

The interrelation between disorder and interactions in two dimensional electron liquid is studied beyond weak coupling perturbation theory. Strong repulsion significantly reduces the electronic density of states on the Fermi level. This…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Rosenstein , Tran Minh-Tien

We have performed high resolution photoemission study of substitutionally disordered alloys Cu-Pt, Cu-Pd, Cu-Ni, and Pd-Pt. The ratios between alloy spectra and pure metal spectra are found to have dips at the Fermi level when the residual…

Strongly Correlated Electrons · Physics 2009-10-31 Han-Jin Noh , Tschang-Uh Nahm , Jae-Young Kim , W. -G. Park , S. -J. Oh , J. -P. Hong , C. -O. Kim

In this work we explore magnetic response of interacting electrons in a spatially non-uniform disordered system, where impurities are introduced in one sector of the geometry keeping the other one free. The interaction among the electrons…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Arpita Koley , Santanu K. Maiti

The quadratic low-temperature dependence of resistance in ordinary metals is determined by the momentum relaxation due to electron-electron scattering in the presence Umklapp processes and scattering on impurities. In metals without…

Strongly Correlated Electrons · Physics 2021-05-12 V. P. Mineev

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

The electron--electron scattering does not affect the electrical current in Galilean--invariant systems. We show that nevertheless electron--electron collisions may contribute to the electric resistivity of systems with parabolic spectrum…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 K. E. Nagaev

We uncover a disorder-driven instability in the diffusive Fermi liquid phase of a class of many-fermion systems, indicative of a metal-insulator transition of first order type, which arises solely from the competition between quenched…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Andreas W. W. Ludwig

Recent experiments in the underdoped regime of the hole-doped cuprates have found evidence for an incommensurate charge density wave state. We present an analysis of the charge ordering instabilities in a metal with antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-12-23 Debanjan Chowdhury , Subir Sachdev

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

The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 D. A. Bagrets , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov
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