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Linear magnetoresistance is a hallmark of 3D Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature 616, 270 (2023)]. However, a comprehensive theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Xiao-Bin Qiang , Han-Yi Xu , Ren-Jie Tong , Shuai Li , Zi-Xuan Gao , Peng-Lu Zhao , Hai-Zhou Lu

We study the effect of random potential created by different types of impurities on the transverse magnetoresistance of Weyl semimetals. It is shown that the magnetic field and temperature dependence of magnetoresistance is strongly…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Ya. I. Rodionov , K. I. Kugel , B. A. Aronzon , Franco Nori

We explore theoretically the magnetoresistvity of three-dimensional Weyl and Dirac semimetals in transversal magnetic fields within two alternative models of disorder: (i) short-range impurities and (ii) charged (Coulomb) impurities.…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 J. Klier , I. V. Gornyi , A. D. Mirlin

We study the effects a strong Coulomb disorder on the transverse magnetoresistance in Weyl semimetals at low temperatures. Using the diagrammatic technique and the Keldysh model to sum up the leading terms in the diagrammatic expansion, we…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 Ya. I. Rodionov , K. I. Kugel , B. A. Aronzon

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],…

Magnetoresistance is a powerful probe for characterizing the intrinsic physics embedded in materials. Among its various manifestations, linear magnetoresistance has a long history and continues attracting research interest. In contemporary…

Mesoscale and Nanoscale Physics · Physics 2026-02-23 Shuai Li , Huichao Wang

Magnetoresistance in many samples of Dirac semimetal and topological insulator displays non-monotonic behaviors over a wide range of magnetic field. Here a formula of magnetoconductivity is presented for massless and massive Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

Recently, negative longitudinal and positive in-plane transverse magnetoresistance have been observed in most topological Dirac/Weyl semimetals, and some other topological materials. Here we present a quantum theory of intrinsic…

Disordered Systems and Neural Networks · Physics 2018-08-29 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

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

Compensated semimetals with Weyl spectra are predicted to exhibit unsaturated linear growth of their resistivity in quantizing magnetic fields. This so-called quantum linear magnetoresistance was introduced by Abrikosov, but approximations…

Mesoscale and Nanoscale Physics · Physics 2022-08-15 Alexander Kazantsev , Alexey Berdyugin , Andre Geim , Alessandro Principi

We investigate the conductivity in layered metals in magnetic field in the weakly incoherent limit, when the interlayer transfer integral is smaller than the Landau level broadening due to the impurity potential, but the interlayer electron…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Pavel D. Grigoriev

The nonlinear ballistic conductance of three-dimensional quantum microconstrictions, which contain magnetic impurities, is investigated. The nonlinear part of the conductance, which is due to the interaction of electrons with magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Namiranian , Yu. A. Kolesnichenko , A. N. Omelyanchouk

We study spectra for a 2D electron in the lowest Landau level with randomly distributed, repulsively correlated electric impurities. The lowest energy band reflects an effective magnetic field downshifted by an integer multiple of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , M. L. Horner

Massive Dirac fermions break the chiral symmetry explicitly and also make the Berry curvature of the band structure non-Abelian. By utilizing the Green's function technique, we develop a microscopic theory to establish a set of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

We study the transversal magnetoconductivity and magnetoresistance of a massive Dirac fermion gas. This can be used as a simple model for gapped Dirac materials. In the zero-mass limit, the case of gapless Dirac semimetals is also studied.…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Viktor Könye , Masao Ogata

We show that the emergence of the axial anomaly is a universal phenomenon for a generic three dimensional metal in the presence of parallel electric ($E$) and magnetic ($B$) fields. In contrast to the expectations of the classical theory of…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Pallab Goswami , J. H. Pixley , S. Das Sarma

Linear magnetoresistance occurs in semiconductors as a consequence of strong electrical disorder and is characterized by nonsaturating magnetoresistance that is proportional to the applied magnetic field. By investigating a disordered…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. G. Johnson , S. P. Bennett , R. Barua , L. H Lewis , D. Heiman

A positive, non-saturating and dominantly linear magnetoresistance is demonstrated to occur in the surface state of a topological insulator having a wavevector-linear energy dispersion together with a finite positive Zeeman energy…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 C. M. Wang , X. L. Lei

Magnetic impurities in three-dimensional Dirac and Weyl systems are shown to exhibit a fascinatingly diverse range of Kondo physics, with distinctive experimental spectroscopic signatures. When the Fermi level is precisely at the Dirac…

Strongly Correlated Electrons · Physics 2015-09-22 Andrew K. Mitchell , Lars Fritz

Measuring the magnetoconductivity induced from impurities may help determine the impurity distribution and reveal the structure of a Weyl semimetal sample. To verify this, we utilized the Gaussian random disorder to simulate charged…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Chuan-Xiong Xu , Hao-Ping Yu , Mei Zhou , Xuanting Ji
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