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Article: Intrinsic magnetoresistance in three-dimensional Dirac materials with low carrier density
Title | Intrinsic magnetoresistance in three-dimensional Dirac materials with low carrier density |
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Authors | |
Issue Date | 2018 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ |
Citation | Physical Review B: Covering Condensed Matter and Materials Physics, 2018, v. 98 n. 8, article no. 081202 How to Cite? |
Abstract | 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 magnetoresistance for three-dimensional Dirac fermions at a finite and uniform magnetic field B. In a semiclassical regime, it is shown that the longitudinal magnetoresistance is negative and quadratic of a weak field B while the in-plane transverse magnetoresistance is positive and quadratic of B. The relative magnetoresistance is inversely quartic of the Fermi wave vector and only determined by carrier density, irrelevant to the external scatterings in the weak scattering limit. This intrinsic anisotropic magnetoresistance is measurable in systems with low carrier density and high mobility. In the quantum oscillation regime a formula for the phase shift in Shubnikov–de Haas oscillation is present as a function of the mobility and the magnetic field, which is helpful for experimental data analysis. |
Persistent Identifier | http://hdl.handle.net/10722/259432 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, H | - |
dc.contributor.author | Fu, B | - |
dc.contributor.author | Shen, S | - |
dc.date.accessioned | 2018-09-03T04:07:19Z | - |
dc.date.available | 2018-09-03T04:07:19Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Physical Review B: Covering Condensed Matter and Materials Physics, 2018, v. 98 n. 8, article no. 081202 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/259432 | - |
dc.description.abstract | 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 magnetoresistance for three-dimensional Dirac fermions at a finite and uniform magnetic field B. In a semiclassical regime, it is shown that the longitudinal magnetoresistance is negative and quadratic of a weak field B while the in-plane transverse magnetoresistance is positive and quadratic of B. The relative magnetoresistance is inversely quartic of the Fermi wave vector and only determined by carrier density, irrelevant to the external scatterings in the weak scattering limit. This intrinsic anisotropic magnetoresistance is measurable in systems with low carrier density and high mobility. In the quantum oscillation regime a formula for the phase shift in Shubnikov–de Haas oscillation is present as a function of the mobility and the magnetic field, which is helpful for experimental data analysis. | - |
dc.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/prb/ | - |
dc.relation.ispartof | Physical Review B: Covering Condensed Matter and Materials Physics | - |
dc.rights | Copyright 2018 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevB.98.081202 | - |
dc.title | Intrinsic magnetoresistance in three-dimensional Dirac materials with low carrier density | - |
dc.type | Article | - |
dc.identifier.email | Fu, B: fubo@hku.hk | - |
dc.identifier.email | Shen, S: sshen@hkucc.hku.hk | - |
dc.identifier.authority | Shen, S=rp00775 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevB.98.081202 | - |
dc.identifier.scopus | eid_2-s2.0-85052825886 | - |
dc.identifier.hkuros | 287931 | - |
dc.identifier.volume | 98 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | article no. 081202 | - |
dc.identifier.epage | article no. 081202 | - |
dc.identifier.isi | WOS:000442475100002 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2469-9950 | - |