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We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko

Heisenberg's uncertainty relation for measurement noise and disturbance states that any position measurement with noise epsilon brings the momentum disturbance not less than hbar/2epsilon. This relation holds only for restricted class of…

Quantum Physics · Physics 2009-11-10 Masanao Ozawa

We show that the numerical method based on the off-equilibrium fluctuation-dissipation relation does work and is very useful and powerful in the study of disordered systems which show a very slow dynamics. We have verified that it gives the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We evaluate the electron-electron interaction corrections to the electronic thermal conductivity in a disordered conductor in the diffusive regime. We use a diagrammatic many-body method analogous to that of Altshuler and Aronov for the…

Disordered Systems and Neural Networks · Physics 2013-05-29 Douglas R. Niven , Robert A. Smith

The celebrated Einstein relation between the diffusion coefficient $D$ and the drift velocity $v$ is violated in non-equilibrium circumstances. We analyze how this violation emerges for the simplest example of a Brownian motion on a…

Statistical Mechanics · Physics 2014-09-30 Daniel Hurowitz , Doron Cohen

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

The theory of large deviations is already the natural language for the statistical physics of equilibrium and non-equilibrium. In the field of disordered systems, the analysis via large deviations is even more useful to describe within a…

Disordered Systems and Neural Networks · Physics 2021-05-12 Cecile Monthus

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

It has been pointed out that for some types of measurement the Heisenberg uncertainty relation seems to be violated. In order to save the situation a new uncertainty relation was proposed by Ozawa. Here we introduce revised definitions of…

Quantum Physics · Physics 2016-03-24 Masao Kitano

Recently, it is realized that non-perturbative instanton effects can be generated to all orders by perturbation theory around a degenerate minima via Dunne-Unsal relation in several quantum mechanical systems. In this work we verify the…

High Energy Physics - Theory · Physics 2017-04-18 Ilmar Gahramanov , Kemal Tezgin

We study the interplay of electron-electron and electron-disorder scattering in correlated Fermi liquids by the disordered Hubbard model using dynamical mean-field theory with an IPT-CPA solver. We find significant violations of…

Strongly Correlated Electrons · Physics 2025-02-25 Arianna Poli , Simone Fratini , Jennifer Coulter , Andrew J. Millis , Sergio Ciuchi

The Kugel-Khomskii model, the simplest model for orbital degenerate magnetic insulators, exhibits a zero temperature degeneracy in the classical limit which could cause genuine quantum disorder. Khaliullin and Oudovenko [Phys. Rev. B 56,…

Strongly Correlated Electrons · Physics 2009-10-31 Louis Felix Feiner , Andrzej M. Oles , Jan Zaanen

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

In this review we consider glass states of several disordered systems: vortices in impure superconductors, amorphous magnets, and nematic liquid crystals in random porous media. All these systems can be described by the random-field or…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. E. Feldman

A perturbation theory and a diagram technique for a disordered metal are proposed when scattering of quasiparticles by nonmagnetic impurities is caused with a retarded interaction. The perturbation theory generalizes a case of the elastic…

Superconductivity · Physics 2014-01-13 K. V. Grigorishin

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

We present a review of quasi-two-dimensional organic superconductors. These systems exhibit many interesting phenomena, including reduced dimensionality, strong electron-electron and electron-phonon interactions and the proximity of…

Strongly Correlated Electrons · Physics 2009-11-07 John Singleton , Charles Mielke

Organic semiconductors are disordered molecular solids and as a result, their internal charge dynamics and ultimately, the performance of the optoelectronic devices they constitute, are governed by energetic disorder. To ascertain how…

We show that a non-Fermi liquid state of interacting electrons in two dimensions is stable in the presence of disorder and is a perfect conductor, provided the interactions are sufficiently strong. Otherwise, the disorder leads to…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sudip Chakravarty , Lan Yin , Elihu Abrahams