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Quantum transport in inhomogeneous magnetic fields is investigated numerically in two-dimensional systems using the equation of motion method. In particular, the diffusion of electrons in random magnetic fields in the presence of additional…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

We present a perturbative method for calculating the optical Hall conductivity in a tight-binding framework based on the Kubo formalism. The method involves diagonalization only of the Hamiltonian in absence of the magnetic field, and thus…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Jesper Goor Pedersen , Mikkel H. Brynildsen , Horia D. Cornean , Thomas Garm Pedersen

We propose an approach based on the generalized quantum mechanics to deal with the basic features of the spin Hall effect. We begin by considering two decoupled harmonic oscillators on the noncommutative plane and determine the solutions of…

High Energy Physics - Theory · Physics 2013-04-01 Kamal El Asli , Rachid Houca , Ahmed Jellal

We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero…

High Energy Physics - Theory · Physics 2020-09-08 Andrea Amoretti , Daniel K. Brattan , Nicodemo Magnoli , Marcello Scanavino

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

We calculate the longitudinal ($\sigma_{xx}$) and Hall ($\sigma_{xy}$) optical conductivities for two-dimensional metals with thermally disordered antiferromagnetism using a generalization of an approximation introduced by Lee, Rice and…

Strongly Correlated Electrons · Physics 2015-05-20 Jie Lin , A. J. Millis

A class of strongly interacting 2+1 dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response functions of maximally supersymmetric 2+1…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll , Pavel Kovtun

Magnetotransport theory of layered superconductors in the flux flow steady state is revisited. Longstanding controversies concerning observed Hall sign reversals are resolved. The conductivity separates into a Bardeen-Stephen vortex core…

Superconductivity · Physics 2020-04-22 Assa Auerbach , Daniel P. Arovas

The current in response to a bias in certain two-dimensional electron gas (2DEG), can have a nonzero transverse component under a finite magnetic field applied in the plane where electrons are confined. This phenomenon known as planar Hall…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Abhiram Soori

We show how macroscopic manifestations of $P$ (and $T$) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute…

Condensed Matter · Physics 2022-03-07 R. Emparan , M. A. Valle Basagoiti

By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled…

High Energy Physics - Theory · Physics 2020-05-29 Romulo Rougemont

We describe an efficient numerical approach to calculate the longitudinal and transverse Kubo conductivities of large systems using Bastin's formulation. We expand the Green's functions in terms of Chebyshev polynomials and compute the…

Mesoscale and Nanoscale Physics · Physics 2015-03-25 Jose H. Garcia , Lucian Covaci , Tatiana G. Rappoport

The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 M. V. Cheremisin

We study the hitherto un-addressed phenomenon of Quantum Hall Effect with a magnetic and electric fields oscillating in time with resonant frequencies. This phenomenon realizes an example of heterodyne device with the magnetic field acting…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Takashi Oka , Leda Bucciantini

Exact formulas of diagonal conductivity $\sigma_{xx}$ and Hall conductivity $\sigma_{xy}$ are derived from the Kubo formula in hybridized two-orbital systems with arbitrary band dispersions. On the basis of the theoretical framework for the…

Strongly Correlated Electrons · Physics 2016-03-10 Shinji Watanabe , Kazumasa Miyake

We study the effects of electron correlation on transport through an interacting region connected to multi-mode leads based on the perturbation expansion with respect to the inter-electron interaction. At zero temperature the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yoshihide Tanaka , Akira Oguri , Hiroumi Ishii

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The…

High Energy Physics - Theory · Physics 2015-12-30 J. Hutchinson , C. Kristjansen , G. W. Semenoff