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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

Uncharged relativistic fluids in 3+1 dimensions have three independent thermodynamic transport coefficients at second order in the derivative expansion. Fluids with a single global $U(1)$ current have nine, out of which seven are parity…

High Energy Physics - Theory · Physics 2018-10-05 Pavel Kovtun , Ashish Shukla

Various aspects of transport coefficients in quantum field theory are reviewed. We describe recent progress in the calculation of transport coefficients in hot gauge theories using Kubo formulas, paying attention to the fulfillment of Ward…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gert Aarts , Jose M. Martinez Resco

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading…

High Energy Physics - Theory · Physics 2017-08-10 Juan Hernandez , Pavel Kovtun

Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Pavel Středa , Karel Výborný

In this work, we explore macroscopic transport phenomena associated with a rotational system in the presence of an external orthogonal electromagnetic field. Simply based on the lowest Landau level approximation, we derive nontrivial…

Nuclear Theory · Physics 2021-08-18 Gaoqing Cao

Non-Hermitian descriptions often model open or driven systems away from the equilibrium. Nonetheless, in equilibrium electronic systems, a non-Hermitian nature of an effective Hamiltonian manifests itself as unconventional observables such…

Disordered Systems and Neural Networks · Physics 2023-06-14 Hiroki Isobe , Naoto Nagaosa

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

We study classical lattice simulations of theories of electrodynamics coupled to charged matter at finite temperature, interpreting them using the higher-form symmetry formulation of magnetohydrodynamics (MHD). We compute transport…

High Energy Physics - Theory · Physics 2024-09-24 Arpit Das , Adrien Florio , Nabil Iqbal , Napat Poovuttikul

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

We discuss new transport phenomena in the presence of both a strong magnetic field and a vortex field. Their interplay induces a charge distribution and a current along the magnetic field. We show that the associated transport coefficients…

Nuclear Theory · Physics 2018-03-14 Koichi Hattori , Yi Yin

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

We summarize recent advances in the application of the equilibrium partition function formalism for the study of the transport coefficients of relativistic fluids induced by quantum anomalies, at first and second order in the hydrodynamic…

High Energy Physics - Theory · Physics 2022-09-07 Eugenio Megias

Transport properties are investigated in the two-dimensional dual dynamics of AdS$_{3}$ gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of…

High Energy Physics - Theory · Physics 2022-08-26 Márcela Cárdenas , Hernán A. González , Kristiansen Lara , Miguel Pino

According to the Kubo formulas we employ the (3+1)-d parton cascade, Boltzmann approach of multiparton scatterings (BAMPS), to calculate the anisotropic transport coefficients (shear viscosity and electric conductivity) for an…

High Energy Physics - Phenomenology · Physics 2020-04-01 Zhengyu Chen , Carsten Greiner , Anping Huang , Zhe Xu

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are…

High Energy Physics - Theory · Physics 2014-10-13 Shira Chapman , Carlos Hoyos , Yaron Oz

In computing electric conductivity based on the Kubo formula, the vertex corrections describe such effects as anisotropic scattering and quantum interference and are important to quantum transport properties. These vertex corrections are…

Materials Science · Physics 2020-09-10 Yi-Wen Wei , Chao-Kai Li , Yuchuang Cao , Ji Feng

Effective Lifshitz black holes with arbitrary dynamical exponent are addressed in the fluid/gravity membrane paradigm. The transport and the response coefficients in the dual Lifshitz field theory are calculated and analyzed, including the…

High Energy Physics - Theory · Physics 2024-11-05 D. C. Moreira , R. da Rocha

We study the transport properties of a relativistic fluid affected by chiral and gauge-gravitational anomalies. The computation is performed in the framework of the fluid/gravity correspondence for a 5 dim holographic model with…

High Energy Physics - Theory · Physics 2015-06-16 Eugenio Megias , Francisco Pena-Benitez

Transport coefficients in non-conformal second-order hydrodynamics can be classified as either dynamical or thermodynamical. We derive Kubo formuale for the thermodynamical coefficients and compute them at leading perturbative order in a…

High Energy Physics - Phenomenology · Physics 2012-12-05 Guy D. Moore , Kiyoumars A. Sohrabi