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The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects. EM-field has in general case quaternion…

Mathematical Physics · Physics 2013-07-11 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

We determine the class of $p$-forms $F$ which possess vanishing scalar invariants (VSI) at arbitrary order in a $n$-dimensional spacetime. Namely, we prove that $F$ is VSI if and only if it is of type N, its multiple null direction $l$ is…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Marcello Ortaggio , Vojtěch Pravda

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

Finite-field calculations in periodic insulators are technically and conceptually challenging, due to fundamental problems in defining polarization in extended solids. While significant progress has been made recently with the establishment…

Materials Science · Physics 2011-03-03 Massimiliano Stengel , Nicola A. Spaldin , David Vanderbilt

The finite-size Tomonaga-Luttinger Hamiltonian with an arbitrary potential is mapped onto a non-interacting Fermi gas with renormalized potential. This is done by means of flow equations for Hamiltonians and is valid for small…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber

Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the Born-Oppenheimer approximation we show that the motion of the condensate satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The Galilean…

Condensed Matter · Physics 2015-06-25 Ping Ao , David J. Thouless , X. -M. Zhu

The requirements of conformal invariance for two and three point functions for general dimension $d$ on flat space are investigated. A compact group theoretic construction of the three point function for arbitrary spin fields is presented…

High Energy Physics - Theory · Physics 2008-11-26 H. Osborn , A. Petkos

Thermal scalar radiation in two spacetime dimensions is treated within relativistic classical physics. Part I involves an inertial frame where are given the analogues both of Boltzmann's derivation of the Stefan-Boltzmann law and also…

Classical Physics · Physics 2015-05-19 Timothy H. Boyer

We construct the Einstein-axions AdS black hole from Born-Infeld electrodynamics. Various DC transport coefficients of the dual boundary theory are computed. The DC electric conductivity depends on the temperature, which is a novel property…

High Energy Physics - Theory · Physics 2018-06-19 Xiao-Mei Kuang , Jian-Pin Wu , Zhenhua Zhou

The thermofield dynamics of the D = 10 heterotic thermal string theory is described in proper reference to the thermal duality symmetry as well as the thermal stability of modular invariance in association with the global phase structure of…

High Energy Physics - Theory · Physics 2009-10-30 H. Fujisaki

The 2D semimetal consisting of heavy holes and light electrons is studied. The consideration is based on assumption that electrons are quantized by magnetic field while holes remain classical. We assume also that the interaction between…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. V. Entin , L. I. Magarill

The conductance through a semi-infinite one-dimensional wire, partly embedded in a superconducting bulk electrode, is studied. When the electron-electron interactions within the wire are strongly repulsive, the wire effectively decouples…

Strongly Correlated Electrons · Physics 2009-11-13 Raphael Matthews , Oded Agam

It is shown that the Riemann-Silberstein vector, defined as ${\bf E} + i{\bf B}$, appears naturally in the $SL(2,C)$ algebraic representation of the electromagnetic field. Accordingly, a compact form of the Maxwell equations is obtained in…

General Physics · Physics 2018-11-27 Shahen Hacyan

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Kentaro Tanabe

A general expression for the conductivity in the QED$_{2+1}$ with nonzero fermion density in the uniform magnetic field is derived. It is shown that the conductivity is entirely determined by the Chern-Simons coefficient:…

High Energy Physics - Theory · Physics 2009-10-28 Vadim Zeitlin

We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with…

High Energy Physics - Theory · Physics 2016-07-20 Tomas Andrade , Simon A. Gentle , Benjamin Withers

It is shown theoretically that the Sommerfeld coefficient $\gamma(B)$ in the mixed state contains useful information on the gap topology in a superconductor. We accurately evaluate $\gamma(B)$ against magnetic induction $B$ by using…

Superconductivity · Physics 2016-08-16 N. Nakai , P. Miranović , M. Ichioka , K. Machida

The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field. \rev{The…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 C. X. Zhang , M. A. Zubkov