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Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which…

Strongly Correlated Electrons · Physics 2019-03-27 Assa Auerbach

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 investigate the electric and thermal transport properties in a disordered Weyl ferromagnet on an equal footing by using the Keldysh formalism in curved spacetime. In particular, we calculate the anomalous thermal Hall conductivity, which…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 Atsuo Shitade

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

The statistical properties of heavy particle trajectories in high Reynolds numbers turbulent flows are analyzed. Dimensional analysis assuming Kolmogorov scaling is compared with the result of numerical simulation using a synthetic…

Chaotic Dynamics · Physics 2009-11-07 Piero Olla

We introduce a theoretical framework for computing transport coefficients for complex materials. As a first example, we resolve long-standing inconsistencies between experiment and theory pertaining to the conductivity and Hall mobility for…

Statistical Mechanics · Physics 2015-05-19 M. -L. Zhang , D. A. Drabold

We investigate novel transport phenomena in a chiral fluid originated from an interplay between a vorticity and strong magnetic field, which induces a redistribution of vector charges in the system and an axial current along the magnetic…

High Energy Physics - Theory · Physics 2016-10-12 Koichi Hattori , Yi Yin

Quantum pumping in closed systems is considered. We explain that the Kubo formula contains all the physically relevant ingredients for the calculation of the pumped charge ($Q$) within the framework of linear response theory. The relation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Doron Cohen

Recent progress in material design enables the study of correlated, low-temperature phases and associated anomalous transport in two-dimensional kagome systems. Here, we show that unconventional spin transport can arise in such systems even…

Strongly Correlated Electrons · Physics 2024-03-20 Masataka Kawano , Frank Pollmann , Michael Knap

We first review the problem of a rigorous justification of Kubo's formula for transport coefficients in gapped extended Hamiltonian quantum systems at zero temperature. In particular, the theoretical understanding of the quantum Hall effect…

Mathematical Physics · Physics 2023-12-21 Joscha Henheik , Stefan Teufel

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at…

High Energy Physics - Theory · Physics 2015-06-03 Karl Landsteiner , Eugenio Megias , Luis Melgar , Francisco Pena-Benitez

The conductivity of an electron gas can be alternatively calculated either from the current--current or from the density--density correlation function. Here, we compare these two frequently used formulations of the Kubo formula for the…

Disordered Systems and Neural Networks · Physics 2014-01-31 Andreas Sinner , Klaus Ziegler

Advective nature of the electrostatic turbulent flux of plasma energy is studied numerically in a nearly adiabatic state. Such a state is represented by the Hasegawa-Mima equation that is driven by a noise that may model the destabilization…

Plasma Physics · Physics 2015-06-18 Byung-Hoon Min , Chan-Yong An , Chang-Bae Kim

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

In this letter we study how deterministic features presented by a system can be used to perform direct transport in a {\it quasi}-symmetric potential and weak dissipative system. We show that the presence of nonhyperbolic regions around…

We study the transport coefficients from the QCD Kondo effect in quark matter which contains heavy quarks as impurity particles. We estimate the coupling constant of the interaction between a light quark and a heavy quark at finite density…

High Energy Physics - Phenomenology · Physics 2018-01-03 Shigehiro Yasui , Sho Ozaki

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from $\partial H/\partial \boldsymbol p$, where $H$ is the…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

The Hall conductivity given by the Kubo formula is a linear response of the quantum transverse transport to a weak electric field. It has been intensively studied for a quantum system without decoherence, but it is barely explored for…

Quantum Physics · Physics 2014-10-14 H. Z. Shen , W. Wang , X. X. Yi

According to the Green-Kubo theory of linear response, the conductivity of an electronically gapped liquid can be expressed in terms of the time correlations of the adiabatic charge flux, which is determined by the atomic velocities and…

Materials Science · Physics 2019-07-23 Federico Grasselli , Stefano Baroni

The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap then in the adiabatic limit the accumulated excess…

Mathematical Physics · Physics 2007-05-23 Alexander Elgart , Benjamin Schlein
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