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We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly…

Strongly Correlated Electrons · Physics 2024-01-12 Sauri Bhattacharyya , Ayush De , Snir Gazit , Assa Auerbach

We investigate the spin-Hall effect of both electrons and holes in semiconductors using the Kubo formula in the correct zero-frequency limit taking into account the finite momentum relaxation time of carriers in real semiconductors. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss

We obtain a set of general formulae for determining magnetizations, including the usual electromagnetic magnetization as well as the gravitomagnetic energy magnetization. The magnetization corrections to the thermal transport coefficients…

Statistical Mechanics · Physics 2011-12-15 Tao Qin , Qian Niu , Junren Shi

Measurement techniques based upon the Hall effect are invaluable tools in condensed matter physics. When an electric current flows perpendicular to a magnetic field, a Hall voltage develops in the direction transverse to both the current…

We propose a mechanism of spin Hall effect in two-dimensional electron gas with spatially random Rashba spin-orbit interaction. The calculations based on the Kubo formalism and kinetic equation show that in contrast to the constant…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Barnas

The spin Hall conductivity is usually calculated for periodic solids, while the knowledge of local contributions from inhomogeneous regions like interfaces or surfaces would be desirable. In this work we derive a local expression for the…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Tomáš Rauch , Franziska Töpler , Ingrid Mertig

Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond…

Mathematical Physics · Physics 2023-02-06 Giovanna Marcelli , Domenico Monaco

Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang , Hua-Wei Fan

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

We compute the longitudinal dc conductivity and the Hall conductivity in a two-dimensional metal with spiral magnetic order. Scattering processes are modeled by a momentum-independent relaxation rate $\Gamma$. We derive expressions for the…

Strongly Correlated Electrons · Physics 2018-12-20 Johannes Mitscherling , Walter Metzner

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Yoichi Tanaka , A. Furusaki , K. A. Matveev

We calculate the quasiparticle contribution to the zero temperature Hall conductance of two-dimensional extreme type-II superconductors in a high magnetic field, using the Landau basis. As one enters the superconducting phase the Hall…

Superconductivity · Physics 2009-10-31 P. D. Sacramento

Magneto-transport of hard core bosons (HCB) is studied using an XXZ quantum spin model representation, appropriately gauged on the torus to allow for an external magnetic field. We find strong lattice effects near half filling. An effective…

Superconductivity · Physics 2015-03-17 Netanel H. Lindner , Assa Auerbach , Daniel P. Arovas

We calculate the Aslamazov-Larkin term of the conductivity in the presence of a magnetic field applied along the c-axis from the time-dependent Ginzburg-Landau equation perturbatively using two approaches. In the first a uniform electric…

Superconductivity · Physics 2016-08-31 T. Blum , M. A. Moore

We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We…

High Energy Physics - Theory · Physics 2008-11-26 B. Harms , O. Micu

We estimate the electrical conductivity and the Hall conductivity of hot and dense hadron gas using the relaxation time approximation of the Boltzmann transport equation in the presence of electromagnetic field. We have investigated the…

High Energy Physics - Phenomenology · Physics 2019-05-29 Arpan Das , Hiranmaya Mishra , Ranjita K. Mohapatra

In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant associated to an imprimitivity algebra of…

dg-ga · Mathematics 2008-11-26 A. Carey , K. Hannabus , V. Mathai , P. McCann

We study two-dimensional systems with Galilean invariance gapped under magnetic fields. When such quantum Hall systems are coupled with external sources for charge, energy, and momentum currents, they exhibit invariance under the Milne…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Tatsuya Amitani , Yusuke Nishida

We show that in the limit of zero temperature, double layer quantum Hall systems exhibit a novel phenomena called Hall drag, namely a current driven in one layer induces a voltage drop in the other layer, in the direction perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang