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The present review analyzes and compares various types of dissipationless spin transport: (1) Superfluid transport, when the spin-current state is a metastable state (a local but not the absolute minimum in the parameter space). (2)…

Other Condensed Matter · Physics 2012-08-09 E. B. Sonin

We study spin-flip and spin-wave excitations for arbitrarily polarized quantum Hall states by employing a fermionic Chern-Simons gauge theory in the low Zeeman energy limit. We show that the spin-flip correlation functions do not get…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Sudhansu S. Mandal

Hydrodynamic forces acting on a neutrally-buoyant spherical particle immersed in a wall-bounded axisymmetric stagnation point flow (Hiemenz-Homann flow) are predicted, based on a suitable form of the reciprocal theorem. An approximate…

Fluid Dynamics · Physics 2020-11-24 Jacques Magnaudet , Micheline Abbas

We study the spin relaxation in an interacting two--dimensional electron gas in a strong magnetic field for the case that the electron density is close to filling just one Landau sub--level of one spin projection, i.e., for filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Apel , Yu. A. Bychkov

We propose a nonequilibrium Green's function approach to study the spin-Hall effect in a two-dimensional electron system with both the Rashba and Dresselhaus spin-orbit couplings. By taking into account the long-range electron-impurity…

Materials Science · Physics 2007-05-23 S. Y. Liu , X. L. Lei

In the presence of spin-orbit interactions, the steady state established for spin distributions in an electric field is qualitatively different from the steady state for charge distributions. This is primarily because the steady state…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , Roland Winkler

We develop a drift-diffusion equation that describes electron spin polarization density in two-dimensional electron systems. In our approach, superpositions of spin-up and spin-down states are taken into account, what distinguishes our…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V. Pershin

The existence of conserved spin Hall currents is shown in a strongly correlated system without involving spin-orbit coupling. The spin Hall conductivity is determined by intrinsic bulk properties, which remains finite even when the charge…

Strongly Correlated Electrons · Physics 2007-05-23 Su-Peng Kou , Xiao-Liang Qi , Zheng-Yu Weng

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

We present a systematic derivation of the side-jump contribution to the spin-Hall current in systems without band structure spin-orbit interactions, focusing on the construction of the collision integral for the Boltzmann equation. Starting…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Dimitrie Culcer , E. M. Hankiewicz , Giovanni Vignale , R. Winkler

We derive the kinetic equations for the hopping transport that take into account electron spin and the possibility of double occupation. In the Ohmic regime the equations are reduced to the generalized Miller-Abrahams resistor network. We…

Disordered Systems and Neural Networks · Physics 2015-07-03 A. V. Shumilin , V. V. Kabanov

We have investigated spin interaction under the collision of Kerr-(anti-)de Sitter black holes. The potential of a spin interaction is dependent on the relative rotating directions of the black holes, and this potential can be released as…

General Relativity and Quantum Cosmology · Physics 2017-12-19 Bogeun Gwak , Daeho Ro

The accumulation of small particles is analyzed in stationary flows through channels of variable width at small Reynolds number. The combined influence of pressure, viscous drag and thermal fluctuations is described by means of a…

Soft Condensed Matter · Physics 2008-07-09 Michael Schindler , Peter Talkner , Marcin Kostur , Peter Hanggi

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

It is shown that the spin Hall current generates a non-equilibrium spin polarization in the interior of crystals with reduced symmetry in a way that is drastically different from the previously well-known equilibrium polarization during the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. L. Korenev

We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator $H_0$ does not commute with the spin operator in view of Rashba interactions, as in the typical…

Mathematical Physics · Physics 2024-07-22 Giovanna Marcelli , Gianluca Panati , Stefan Teufel

Sampling the stationary points of a complicated potential energy landscape is a challenging problem. Here we introduce a sampling method based on relaxation from stationary points of the highest index of the Hessian matrix. We illustrate…

Statistical Mechanics · Physics 2014-07-25 Ciaran Hughes , Dhagash Mehta , David J Wales

It was proposed recently by Murakami et al. [Science \textbf{301}, 1348(2003)] that in a large class of $p$-doped semiconductors, an applied electric field can drive a quantum dissipationless spin current in the direction perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Liangbin Hu , Ju Gao , Shun-Qing Shen

A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a system of coupled…

Optimization and Control · Mathematics 2019-02-08 Alexander Zuyev , Julia Novikova

We calculate spin Hall conductivities in the two dimensional electron systems with Rashba spin-orbit interaction. The salient feature is that, apart from the usual spin-Hall conductivity \sigma^z_{xy} which corresponds to the induction of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ankur Sensharma , Sudhansu S. Mandal