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The theory of spin drift and diffusion in two-dimensional electron gases is developed in terms of a random walk model incorporating Rashba, linear and cubic Dresselhaus, and intersubband spin-orbit couplings. The additional subband degree…

Mesoscale and Nanoscale Physics · Physics 2017-03-20 Gerson J. Ferreira , Felix G. G. Hernandez , Patrick Altmann , Gian Salis

The $t$-model represents the Hubbard model in the limit $U \to \infty$ and is one of the basic models of strongly correlated electrons. On a one-dimensional chain, the model is integrable, and the charge dynamics corresponds to that of free…

Strongly Correlated Electrons · Physics 2026-03-23 Jakub Rękas , Marcin Mierzejewski , Zala Lenarčič , Peter Prelovšek

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

Generic short-range interacting quantum systems with a conserved quantity exhibit universal diffusive transport at late times. We employ non-equilibrium quantum field theory and semi-classical phase-space simulations to show how this…

Quantum Gases · Physics 2020-12-15 Alexander Schuckert , Izabella Lovas , Michael Knap

We develop a self-consistent theory describing the spin and spatial electron diffusion in the impurity band of doped semiconductors under the effect of a weak spin-orbit coupling. The resulting low-temperature spin-relaxation time and…

Disordered Systems and Neural Networks · Physics 2016-11-02 Thomas Wellens , Rodolfo A. Jalabert

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha}$ with distance and $\alpha<2$.…

Disordered Systems and Neural Networks · Physics 2020-09-02 Benedikt Kloss , Yevgeny Bar Lev

We study the optically induced spin polarization, spin dephasing and diffusion in several high-mobility two-dimensional electron systems, which are embedded in GaAs quantum wells grown on (110)-oriented substrates. The experimental…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 R. Voelkl , M. Schwemmer , M. Griesbeck , S. A. Tarasenko , D. Schuh , W. Wegscheider , C. Schueller , T. Korn

The electron spin dynamics in an optically excited narrow quantum well is studied, where the electron spins precess in a k-dependent magnetic field while the electrons scatter at localized impurities. For the resulting spin decay, which is…

Mesoscale and Nanoscale Physics · Physics 2017-05-31 Michael Cosacchi , Moritz Cygorek , Florian Ungar , Vollrath Martin Axt

The spin and charge transport in materials with spin-dependent conductivity has been studied. It was shown that there is a charge accumulation along spin diffusion in a ferromagnetic metal, which causes a shortening of the spin diffusion…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets

Relaxation, <Sz(t)>, of the average spin of a carrier in course of hops over sites hosting random hyperfine fields is studied theoretically. In low dimensions, d = 1, 2, the decay of average spin with time is non-exponential at all times.…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 R. C. Roundy , M. E. Raikh

A comprehensive theoretical description is given for the spin relaxation and diffusion in solids. The formulation is made in a general statistical-mechanical way. The method of the nonequilibrium statistical operator (NSO) developed by D.…

Statistical Mechanics · Physics 2009-11-11 A. L. Kuzemsky

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

The theory of spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field in spin systems with non-equidistant energy spectrum. Two coupled equations describing the mutual relaxation and…

Materials Science · Physics 2007-05-23 Gregory B. Furman , Shaul D. Goren

We introduce a computational framework for first-principles density matrix transport within the Wigner function formalism to predict transport of quantum-mechanical degrees of freedom such as spin over long time and length scales. This…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Mayada Fadel , Joshua Quinton , Mani Chandra , Mayank Gupta , Yuan Ping , Ravishankar Sundararaman

We derive and study the effective spin model that explains the anomalous spin dynamics in the one-dimensional Hubbard model with strong potential disorder. Assuming that charges are localized, we show that spins are delocalized and their…

Strongly Correlated Electrons · Physics 2018-06-20 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

We derive a drift-diffusion equation for spin polarization in semiconductors by consistently taking into account electric-field effects and nondegenerate electron statistics. We identify a high-field diffusive regime which has no analogue…

Materials Science · Physics 2009-11-07 Z. G. Yu , M. E. Flatte

Based on a Monte Carlo method, we investigate the influence of transport conditions on the electron spin relaxation in GaAs. The decay of initial electron spin polarization is calculated as a function of distance under the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. A. Barry , A. A. Kiselev , K. W. Kim

The changes of the spin depolarization length in zinc-blende semiconductors when an external component of correlated noise is added to a static driving electric field are analyzed for different values of field strength, noise amplitude and…

Statistical Mechanics · Physics 2015-06-03 Stefano Spezia , Dominique Persano Adorno , Nicola Pizzolato , Bernardo Spagnolo

We study spin relaxation and diffusion in an electron-spin ensemble of nitrogen impurities in diamond at low temperature (0.25-1.2 K) and polarizing magnetic field (80-300 mT). Measurements exploit mode- and temperature-dependent coupling…

Mesoscale and Nanoscale Physics · Physics 2013-02-13 V. Ranjan , G. de Lange , R. Schutjens , T. Debelhoir , J. P. Groen , D. Szombati , D. J. Thoen , T. M. Klapwijk , R. Hanson , L. DiCarlo

We study transport in a one-dimensional boundary-driven Anderson insulator (the XX spin chain with onsite disorder) with randomly positioned onsite dephasing, observing a transition from diffusive to subdiffusive spin transport below a…

Disordered Systems and Neural Networks · Physics 2021-05-12 Scott Richard Taylor , Antonello Scardicchio