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The linear response theory is used to describe magnetoresistance oscillations of short-period unilateral superlattices with strong modulation (or alternatively arrays of coupled quantum wires). The semiclassical description of this system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karel Vyborny , Ludvik Smrcka , Rainer A. Deutschmann

The general expression for the magnetoresistance (MR) due to the Lorentz force is derived by using the Fermi liquid transport theory based on the Kubo formula. The obtained gauge-invariant expression is exact for any strength of the…

Strongly Correlated Electrons · Physics 2009-10-31 Hiroshi Kontani

The magnetoresistance (MR) of a material is typically insensitive to reversing the applied field direction and varies quadratically with magnetic field in the low-field limit. Quantum effects [1], unusual topological band structures [2],…

We report experimental observations of a novel magnetoresistance (MR) behavior of two-dimensional electron systems in perpendicular magnetic field in the ballistic regime, for k_BT\tau/\hbar>1. The MR grows with field and exhibits a maximum…

Disordered Systems and Neural Networks · Physics 2013-01-07 A. Yu. Kuntsevich , G. M. Minkov , A. A. Sherstobitov , V. M. Pudalov

On the basis of Boltzmann's equation, and including anisotropic scattering in the collision operator, we investigate the effect of one-dimensional superlattices on two-dimensional electron systems. In addition to superlattices defined by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Rolf Menne , Rolf R. Gerhardts

The Dirac equation is extended for a relativistic electron in an orthorhombically-anisotropic conduction band. Its covariance is established with general proper and improper Lorentz transformations. In the non-relativistic limit, the…

Strongly Correlated Electrons · Physics 2019-05-09 Aiying Zhao , Jingchuan Zhang , Qiang Gu , Richard A. Klemm

The magnetoresistance (MR) of SrTiO$_3$ is theoretically investigated based on the Boltzmann equation by considering its detailed band structure. The formula for MR proposed by Mackey and Sybert is extended to be applicable to a system with…

Applied Physics · Physics 2019-10-09 Yudai Awashima , Yuki Fuseya

Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that…

Materials Science · Physics 2025-07-17 Philipp Ritzinger , Ondřej Sedláček , Jakub Železný , Karel Výborný

This study calculated the magnetoresistance (MR) in the Dirac electron system, Dressellhaus-Kip-Kittel (DKK) model, and nodal-line semimetals based on the semiclassical Boltzmann theory, with particular focus on the detailed energy…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Yudai Awashima , Yuki Fuseya

Longitudinal magnetoresistance (LMR) refers to the change in resistance due to a magnetic field when the current and the magnetic field are parallel to each other. For this to be nonzero in weak magnetic fields, kinetic theory stipulates…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Hridis K. Pal

Two-component systems with equal concentrations of electrons and holes exhibit non-saturating, linear magnetoresistance in classically strong magnetic fields. The effect is predicted to occur in finite-size samples at charge neutrality in…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Schuett , M. Titov

Magnetic effects on free electron systems have been studied extensively in the context of spin-to-orbital angular momentum conversion. Starting from the Dirac equation, we derive a fully relativistic expression for the energy of free…

Quantum Physics · Physics 2018-06-19 P. Kurian

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

We derive a general relativistic Hamiltonian valid for both bound and scattering systems by reducing the four-component Dirac equation to a two-component Dirac-Pauli form. Unlike conventional approaches, our formulation includes first-order…

High Energy Physics - Phenomenology · Physics 2025-11-13 Abdelhamid Albaid

We perform a semiclassical calculation of the magnetoresistance of spinless two-dimensional fermions in a long-range correlated random magnetic field. In the regime relevant for the problem of the half filled Landau level the perturbative…

Condensed Matter · Physics 2009-10-28 D. V. Khveshchenko

The change of a material's electrical resistance (R) in response to an external magnetic field (B) provides subtle information for the characterization of its electronic properties and has found applications in sensor and storage related…

The classical two-dimensional problem of non-interacting electrons scattered by short-range impurity centers in the presence of magnetic field is investigated both analytically and numerically. A strong magnetoresistance exists in such a…

Statistical Mechanics · Physics 2009-11-07 A. Dmitriev , M. Dyakonov , R. Jullien

We theoretically investigate magnetoresistance (MR) in the extreme quantum limit (EQL), where the kinetic energy becomes significantly smaller than the cyclotron energy, using the Kubo formula with Green's functions and the $T$-matrix…

Materials Science · Physics 2025-08-20 Shuto Tago , Akiyoshi Yamada , Yuki Fuseya

We have investigated the magnetoresistive behavior of Dirac semi-metal Cd3As2 down to low temperatures and in high magnetic fields. A positive and linear magnetoresistance (LMR) as large as 3100% is observed in a magnetic field of 14 T, on…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Junya Feng , Yuan Pang , Desheng Wu , Zhijun Wang , Hongming Weng , Jianqi Li , Xi Dai , Zhong Fang , Youguo Shi , Li Lu

Boundary-dependent radiative corrections that modify the magnetic moment of an electron near a dielectric or conducting surface are investigated. Normal-mode quantization of the electromagnetic field and perturbation theory applied to the…

Quantum Physics · Physics 2013-02-12 Robert Bennett , Claudia Eberlein
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