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Determining the transport properties of Quark-Gluon Plasma is one of the most important aspects of relativistic heavy ion collision studies. Field-theoretical calculations of the transport coefficients such as the shear and bulk viscosities…

High Energy Physics - Phenomenology · Physics 2026-05-07 Sangyong Jeon , Alina Czajka , Juhee Hong

The expressions of the shear viscosity and the bulk viscosity components in the presence of an arbitrary external magnetic field for a system of hot charged scalar Bosons (spin-0) as well as for a system of hot charged Dirac Fermions…

High Energy Physics - Phenomenology · Physics 2021-05-26 Snigdha Ghosh , Sabyasachi Ghosh

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

Inspired by recent experiments on graphene, we examine the non-dissipative viscoelastic response of anisotropic two-dimensional quantum systems. We pay particular attention to electron fluids with point group symmetries, and those with…

Mesoscale and Nanoscale Physics · Physics 2020-04-09 Pranav Rao , Barry Bradlyn

A Kubo inspired formalism is proposed to compute the longitudinal and transverse dynamical conductivities of an electron in a plane (or a gas of electrons at zero temperature) coupled to the potential vector of an external local magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Jean Desbois , Stéphane Ouvry , Christophe Texier

In this paper we provide a quantum field theoretical study on the shear and bulk relaxation times. First, we find Kubo formulas for the shear and the bulk relaxation times, respectively. They are found by examining response functions of the…

Nuclear Theory · Physics 2017-08-16 Alina Czajka , Sangyong Jeon

We develop the theory of magnetoresistance oscillations in layered quasi-two-dimensional (quasi-2D) metals. Using the Kubo-Streda formula, we calculate the Hall intralayer conductivity in a magnetic field perpendicular to conducting layers.…

Strongly Correlated Electrons · Physics 2024-06-10 Pavel D. Grigoriev , Taras I. Mogilyuk

The linear conductivity tensor for generic homogeneous, microscopic quantum models was formulated as a noncommutative Kubo formula in Refs. \cite{BELLISSARD:1994xj,Schulz-Baldes:1998vm,Schulz-Baldes:1998oq}. This formula was derived…

Disordered Systems and Neural Networks · Physics 2013-10-15 Emil Prodan

The average of densities of currents and charges, induced by a weak electromagnetic field in spatially inhomogeneous are calculated at final temperatures. The Kubo formula for a conductivity tensor is generalized for spatially inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. T. Pavlov , I. G. Lang , L. I. Korovin

The traditional Kubo formula is generalized to describe the linear response with respect to non-Abelian fields. To fulfil the demand for studying spin transport, the SU(2) Kubo formulae are derived by two conventional approaches with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pei-Qing Jin , You-Quan Li

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

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

We justify the linear response theory for an ergodic Schroedinger operator with magnetic field within the non-interacting particle approximation, and derive a Kubo formula for the electric conductivity tensor. To achieve that, we construct…

Mathematical Physics · Physics 2007-05-23 Jean-Marc Bouclet , Francois Germinet , Abel Klein , Jeffrey H. Schenker

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

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients,…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Xu-Guang Huang , Armen Sedrakian , Dirk H. Rischke

The dc conductivity tensor of two-dimensional one-band metals with weak pointlike disorder and magnetic field is studied in the self-consistent Born approximation, with special emphasis on the regime of low carrier density. In this theory,…

Strongly Correlated Electrons · Physics 2025-07-10 Giacomo Morpurgo , Christophe Berthod , Thierry Giamarchi

The non-commutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation. The…

Statistical Mechanics · Physics 2012-10-25 Yu Xue , Emil Prodan

The three-dimensional magneto-conductivity tensor was derived in a gauge invariant form based on the Kubo formula considering the quantum effect under a magnetic field, such as the Landau quantization and the quantum oscillations. We…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Akiyoshi Yamada , Yuki Fuseya

The nondissipative (Hall) viscosity is known to play an interesting role in two-dimensional (2D) topological states of matter, in the hydrodynamic regime of correlated materials, and in classical active fluids with broken time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Iñigo Robredo , Pranav Rao , Fernando de Juan , Aitor Bergara , Juan L. Mañes , Alberto Cortijo , M. G. Vergniory , Barry Bradlyn

Quantum Hall systems are recently shown to possess a quantity sensitive to the spatial geometry and topology of the system, dubbed the Hall viscosity $\eta_H$. Despite the extensive theoretical discussions on its properties, the question of…

Strongly Correlated Electrons · Physics 2015-06-10 Biao Huang
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