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It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

In this paper, from the microscopic Hubbard Hamiltonian we extract the local spin-singlet amplitude due to short-range spin correlations, and quantify its strength near half-filling. As a first application of the present approach, we study…

Strongly Correlated Electrons · Physics 2009-10-31 Bumsoo Kyung

We apply the Wigner function formalism to derive drift-diffusion transport equations for spin-polarized electrons in a III-V semiconductor single quantum well. Electron spin dynamics is controlled by the linear in momentum spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Semion Saikin

We show that the recently developed self-consistent theory of Anderson localization with a position-dependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of $1/g_0^2$ (with…

Disordered Systems and Neural Networks · Physics 2010-08-20 Ben Payne , Alexey Yamilov , Sergey E. Skipetrov

In recent years the ergodicity of disordered spin chains has been investigated via extensive numerical studies of the level statistics or the transport properties. However, a clear relationship between these results has yet to be…

Disordered Systems and Neural Networks · Physics 2023-07-06 P. Prelovšek , J. Herbrych , M. Mierzejewski

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

We introduce the notion of transmission time to study the dynamics of disordered quantum spin chains and prove results relating its behavior to many-body localization properties. We also study two versions of the so-called Local Integrals…

Mathematical Physics · Physics 2022-01-12 Bruno Nachtergaele , Jake Reschke

Harnessing spins as carriers for information has emerged as an elegant extension to the transport of electrical charges. The coherence of such spin transport in spintronic circuits is determined by the lifetime of spin excitations and by…

Quantum Gases · Physics 2014-07-24 Marco Koschorreck , Daniel Pertot , Enrico Vogt , Michael Köhl

We consider spin dynamics in the impurity band of a semiconductor with spin-split spectrum. Due to the splitting, phonon-assisted hops from one impurity to another are accompanied by rotation of the electron spin, which leads to spin…

Disordered Systems and Neural Networks · Physics 2015-06-25 I. S. Lyubinskiy , A. P. Dmitriev , V. Yu. Kachorovskii

Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Shen , R. Raimondi , G. Vignale

A theory of spin-polarized electron transport in ferromagnet/semiconductor heterostructures, based on a unified semiclassical description of ballistic and diffusive transport in semiconductor structures, is developed. The aim is to provide…

Materials Science · Physics 2009-11-11 R. Lipperheide , U. Wille

A system of drift-diffusion equations with electric field under Dirichlet boundary conditions is analyzed. The system of strongly coupled parabolic equations for particle density and spin density vector describes the spin-polarized…

Analysis of PDEs · Mathematics 2014-02-26 Nicola Zamponi

We study localization properties of a one-dimensional disordered system characterized by a random non-hermitean hamiltonian where both the randomness and the non-hermiticity arises in the local site-potential; its real part being ordered…

Disordered Systems and Neural Networks · Physics 2007-05-23 Asok K. Sen

The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically and numerically that extended states may occur in the one- and…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Rodriguez , V. A. Malyshev , G. Sierra , M. A. Martin-Delgado , J. Rodriguez-Laguna , F. Dominguez-Adame

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

This paper is devoted to the study of the random displacement model on $\R^d$. We prove that, in the weak displacement regime, Anderson and dynamical localization holds near the bottom of the spectrum under a generic assumption on the…

Mathematical Physics · Physics 2015-05-13 Fatma Ghribi , Frédéric Klopp

Although it is recognized that Anderson localization takes place for all states at a dimension $d$ less or equal $2$, while delocalization is expected for hopping $V(r)$ decreasing with the distance slower or as $r^{-d}$, the localization…

Disordered Systems and Neural Networks · Physics 2024-05-20 Xiaolong Deng , Ivan M. Khaymovich , Alexander L. Burin

Understanding spin excitations and their connection to unconventional superconductivity have remained a central issue since the discovery of the cuprates. Direct measurement of the dynamical spin structure factor in the parent compounds can…

Strongly Correlated Electrons · Physics 2018-06-12 Yao Wang , Edwin W. Huang , Brian Moritz , Thomas P. Devereaux

We study temperature induced metal-insulator transition in doped ferromagnetic semiconductors, described by s-d exchange model. The transition is a result of the mobility edge movement, the disorder being due to magnetic ions spin density…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Mark Auslender

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann