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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 study the magnetoconductivity induced by the axial anomaly via the chiral magnetic effect in strongly coupled holographic models. An important ingredient in our models is that the axial charge is non-conserved beyond the axial anomaly.…

High Energy Physics - Theory · Physics 2015-05-05 Amadeo Jimenez-Alba , Karl Landsteiner , Yan Liu , Ya-Wen Sun

In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-interacting, spinless charged particles in a finite volume in the…

Mathematical Physics · Physics 2023-08-15 Alexander B. Watson , Dionisios Margetis , Mitchell Luskin

We present a new class of asymptotically AdS magnetic solutions in ($n+1$)-dimensional dilaton gravity in the presence of an appropriate combination of three Liouville-type potentials. This class of solutions is asymptotically AdS in six…

High Energy Physics - Theory · Physics 2015-05-27 M. H. Dehghani , A. Bazrafshan

In 3+1 dimensional spacetime, two vector gauge anomalies are known: The chiral anomaly and the mixed axial-gravitational anomaly. While the former is well documented and tied to the presence of a magnetic field, the latter instead requires…

Mesoscale and Nanoscale Physics · Physics 2021-11-25 Tobias Holder , Daniel Kaplan , Roni Ilan , Binghai Yan

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

For an isotropic single-band system, it is well known that the semiclassical Boltzmann transport theory within the relaxation time approximation and the Kubo formula with the vertex corrections provide the same result with the…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Sunghoon Kim , Seungchan Woo , Hongki Min

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

Transport through two quantum dots laterally embedded in Aharonov-Bohm interferometry with infinite intradot and arbitrary interdot Coulomb repulsion is analyzed in the weak coupling and Coulomb blockade regime. By employing the modified…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Ma , Bing Dong , X. L. Lei

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

Quantum anomalies give rise to new transport phenomena. In particular a magnetic field can induce an anomalous current via the chiral magnetic effect and a vortex in the relativistic fluid can also induce a current via the chiral vortical…

High Energy Physics - Phenomenology · Physics 2011-08-01 Karl Landsteiner , Eugenio Megias , Francisco Pena-Benitez

We investigate the magneto-optical properties of two-dimensional nonsymmorphic Dirac semimetals in the presence of antiferromagnetic order. Using the Kubo formula, we calculate the conductivity tensor of two-dimensional CuMnAs, a prototype…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 Reza Sepehrinia , Siavash Eskandari , Alireza Qaiumzadeh

We present an ab initio calculation of the DC conductivity of amorphous silicon and hydrogenated amorphous silicon. The Kubo-Greenwood formula is used to obtain the DC conductivity, by thermal averaging over extended dynamical simulation.…

Materials Science · Physics 2009-11-13 T. A. Abtew , M. Zhang , D. A. Drabold

In order to imitate anisotropic medium of a condensed matter system, we take into account an Einstein-Maxwell-dilaton-axion model as a dual gravity theory where the anisotropy is caused by different momentum relaxations. This gravity model…

High Energy Physics - Theory · Physics 2016-10-19 Sunly Khimphun , Bum-Hoon Lee , Chanyong Park

Momentum relaxation is an ever-present and unavoidable ingredient of any realistic condensed matter system. In real-world materials the presence of a lattice, impurities or disorder forces momentum to dissipate and leads to relevant…

High Energy Physics - Theory · Physics 2016-10-18 Matteo Baggioli

The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Cappelluti , L. Benfatto

We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum Hall phases. We consider the…

Mathematical Physics · Physics 2026-05-20 Giovanna Marcelli , Lorenzo Pigozzi , Marcello Porta

We investigate a strongly coupled finite-density anisotropic fluid in $2+1$ dimensions dual to an asymptotically AdS black brane that is a solution of Einstein-Maxwell-Axion theory in $3+1$ dimensions. Despite the anisotropy, the fluid…

High Energy Physics - Theory · Physics 2025-04-15 Alfonso Ballon-Bayona , Jonathan P. Shock , Dimitrios Zoakos

Within the framework of the AdS/CMT correspondence asymptotically anti-de Sitter black holes in four space-time dimensions can be used to analyse transport properties in two space dimensions. A non-linear renormalisation group equation for…

High Energy Physics - Theory · Physics 2021-02-23 Brian P. Dolan

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