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I propose three new curved spacetime versions of the Dirac Equation. These equations have been developed mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of Fermions. The derived equations suggest…

General Physics · Physics 2008-11-26 G. G. Nyambuya

Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

Chirality of massless fermions emergent in condensed matter is a key to understand their characteristic behavior as well as to exploit their functionality. However, chiral nature of massless fermions in Dirac semimetals has remained…

Electron skew scattering by impurities is one of the major mechanisms behind the anomalous Hall effect in ferromagnetic nanostructures. It is particularly strong at the surface of topological insulators where electron dynamics is governed…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Cooper Finnigan , Dmitry K. Efimkin

Recently a new type of Kramers-Fokker-Planck Equation has been proposed [R. Friedrich et al. Phys. Rev. Lett. {\bf 96}, 230601 (2006)] describing anomalous diffusion in external potentials. In the present paper the explicit cases of a…

Statistical Mechanics · Physics 2007-05-23 S. Eule , R. Friedrich , F. Jenko

Altermagnets represent a recently discovered class of collinear magnets, characterized by antiparallel neighboring magnetic moments and alternating-sign spin polarization in momentum-space($k$-space). However, experimental methods for…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Rui Chen , Zi-Ming Wang , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

In 2+1 dimensions there exists a duality between a charged Dirac particle coupled minimally to a background vector potential and a neutral one coupled nonminimally to a background electromagnetic field strength. A constant uniform…

High Energy Physics - Theory · Physics 2009-10-31 Qiong-gui Lin

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

We study the axial anomaly of Dirac spinors on gravitational instanton backgrounds in the context of nonlinear electrodynamics. In order to do so, we consider Einstein gravity minimally coupled to a recently proposed conformal…

High Energy Physics - Theory · Physics 2023-05-22 Francisco Colipí-Marchant , Cristóbal Corral , Daniel Flores-Alfonso , Leonardo Sanhueza

Many 'interesting; correlated electron materials exhibit an unusual sensitivity of measured properties to external perturbations, and in particular to imperfections in the sample being measured. It is argued that in addition to its…

Strongly Correlated Electrons · Physics 2009-11-10 A. J. Millis

We study a relativistic charged Dirac particle moving in a rotating magnetic field. By using a time-dependent unitary transformation, the Dirac equation with the time-dependent Hamiltonian can be reduced to a Dirac-like equation with a…

Quantum Physics · Physics 2009-11-07 Qiong-gui Lin

The Dirac oscillator is an exactly soluble model recently introduced in the context of many particle models in relativistic quantum mechanics. The model has been also considered as an interaction term for modelling quark confinement in…

Quantum Physics · Physics 2016-08-15 R. P. Martínez-y-Romero , H. N. Núñez-Yépez , A. L. Salas-Brito

The massless Dirac electrons found at topological insulator surfaces are thought to be influenced very little by weak, non-magnetic disorder. However, a resonance effect of strongly perturbing non-magnetic impurities has been theoretically…

The classical electron is presented as made up of an electric charge and two Dirac monopoles of opposite charge performing a magnetic dipole. It is discussed that a valid variational principle for this system can be defined. The Dirac…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dario Sassi Thober

We study the role played by electron-magnon scattering in the anomalous Hall effect. We find that it has important contributions distinct from other scattering processes like impurities scattering and phonon scattering. As a demonstration,…

Materials Science · Physics 2009-11-17 Shengyuan A. Yang , Hui Pan , Wong-Kong Tse , Qian Niu

The interaction of an electron with a polar molecule is shown to be the simplest realization of a quantum anomaly in a physical system. The existence of a critical dipole moment for electron capture and formation of anions, which has been…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E Camblong , Luis N. Epele , Huner Fanchiotti , Carlos A. Garcia Canal

We investigate the properties of the attractive polaron formed by a single impurity dressed with the particle-hole excitations in a Dirac system at zero-temperature limit. Base on the single particle-hole variational ansatz, we deduce the…

Strongly Correlated Electrons · Physics 2019-03-05 Chen-Huan Wu

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

It is argued that the qualitative features of black holes, regarded as quantum mechanical objects, depend both on the parameters of the hole and on the microscopic theory in which it is embedded. A thermal description is inadequate for…

High Energy Physics - Theory · Physics 2009-10-22 C. F. E. Holzhey , F. Wilczek

Oscillations are ubiquitous wave phenomena in physical systems ranging from electromagnetic and acoustic to gravitational waves. The behavior of finite-size systems is traditionally understood to be governed by fundamental oscillatory modes…

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