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We present a theoretical investigation of the electronic band structure and optical properties of a two-dimensional anisotropic semimetal that is described by a tilted semi-Dirac type spectrum with a pair of Weyl nodes. We observe that a…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Suheel Ahmad Malik , M. A. H. Ahshan , SK Firoz Islam

We present a semiclassical analysis for Dirac fields on an arbitrary spacetime background and in the presence of a fixed electromagnetic field. Our approach is based on a Wentzel-Kramers-Brillouin approximation, and the results are analyzed…

General Relativity and Quantum Cosmology · Physics 2023-02-16 Marius A. Oancea , Achal Kumar

We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler

The semiclassical limit for Dirac particles interacting with a static gravitational field is investigated. A Foldy-Wouthuysen transformation which diagonalizes at the semiclassical order the Dirac equation for an arbitrary static spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Gosselin , Alain Bérard , Herve Mohrbach

A classical model for {\em dc} transport of two dimensional electrons in a perpendicular magnetic field and under strong irradiation is considered. We demonstrate that, near the cyclotron resonance condition, and for {\em linear}…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. A. Koulakov , M. E. Raikh

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in…

High Energy Physics - Theory · Physics 2017-05-02 O. F. Dayi , E. Kilincarslan , E. Yunt

Starting with the Dirac equation for an electron in a constant electromagnetic background on a noncommutative (NC) plane, we obtain a gauge invariant description of the system. Surprisingly, the dynamics of the system is dictated by the…

High Energy Physics - Theory · Physics 2025-01-27 Aslam Halder , Sunandan Gangopadhyay , Anirban Saha

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

Surface acoustic waves (SAWs) become a popular driving source in modern condensed matter physics, but most existing theories simplify them as electric fields and ignore the non-uniform Brillouin zone folding effect. We develop a…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Zi-Qian Zhou , Zhi-Fan Zhang , Cong Xiao , Hua Jiang , X. C. Xie

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

We predict a giant cyclotron resonance in the nonlinear valley Hall response of inversion-asymmetric two-dimensional semiconductors subjected to crossed terahertz electric and static magnetic fields. By employing a two-band Hamiltonian that…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 V. N. Ivanova , V. M. Kovalev , I. G. Savenko

Weyl semimetals (WSM) exhibit chiral anomaly in their magnetotransport due to broken conservation laws. Here, we analyze the magnetotransport of WSM in the presence of the time-reversal symmetry-breaking tilt parameter. The analytical…

Mesoscale and Nanoscale Physics · Physics 2019-12-02 Anirban Kundu , Hyunsoo Yang , M. B. A. Jalil

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

The low-field quantum Hall effect is investigated on a two-dimensional electron system in an AlGaAs/GaAs heterostructure. Magneto-oscillations following the semiclassical Shubnikov-de Haas formula are observed even when the emergence of the…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. R. Hang , C. F. Huang , K. A. Cheng

In the Dirac theory for the motion of free relativistic electrons, highly oscillatory components appear in the time evolution of physical observables such as position, velocity, and spin angular momentum. This effect is known as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Winkler , U. Zülicke , Jens Bolte

We study electron transport in two-dimensional materials with parabolic and linear (graphene) dispersions of the carriers in the presence of surface acoustic waves and an external magnetic field using semiclassical Boltzmann equations…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 I. G. Savenko , A. V. Kalameitsev , L. G. Mourokh , V. M. Kovalev

The features of the spin and charge transport of electrons and holes in a metal and a semiconductor were studied using the Boltzmann transport equations. It was shown that the electrons and holes carry the spin in opposite directions in an…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets

Fascinating phenomena have been known to arise from the Dirac theory of relativistic quantum mechanics, which describes high energy particles having linear dispersion relations. Electrons in solids usually have non-relativistic dispersion…

For the spin Hall effect arising from strong band-structure spin-orbit coupling, a semiclassical Boltzmann theory reasonably addressing the intriguing disorder effect called side-jump is still absent. In this paper we describe such a theory…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Cong Xiao

The study of electronic properties in topological systems is one of the most fascinating topics in condensed matter physics, which has generated enormous interests in recent times. New materials are frequently being proposed and…

Materials Science · Physics 2018-08-22 Ratnadwip Singha , Shubhankar Roy , Arnab Pariari , Biswarup Satpati , Prabhat Mandal