Berry phase theory of planar Hall effect in topological insulators

Abstract The appearance of negative longitudinal magnetoresistance (LMR) in topological semimetals such as Weyl and Dirac semimetals is understood as an effect of chiral anomaly, whereas such an anomaly is not well-defined in topological insulators. Nevertheless, it has been shown recently in both t...

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Autores principales:	S. Nandy, A. Taraphder, Sumanta Tewari
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Topological Insulators (TIs) Planar Hall Effect (PHE) Hall Plane Berry Phase Negative LMR Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d1ead306667b4204ba940513d40dd40c
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spelling	oai:doaj.org-article:d1ead306667b4204ba940513d40dd40c2021-12-02T15:08:27ZBerry phase theory of planar Hall effect in topological insulators10.1038/s41598-018-33258-52045-2322https://doaj.org/article/d1ead306667b4204ba940513d40dd40c2018-10-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-33258-5https://doaj.org/toc/2045-2322Abstract The appearance of negative longitudinal magnetoresistance (LMR) in topological semimetals such as Weyl and Dirac semimetals is understood as an effect of chiral anomaly, whereas such an anomaly is not well-defined in topological insulators. Nevertheless, it has been shown recently in both theory and experiments that nontrivial Berry phase effects can give rise to negative LMR in topological insulators even in the absence of chiral anomaly. In this paper, we present a quasi-classical theory of another intriguing phenomenon in topological insulators – also ascribed to chiral anomaly in Weyl and Dirac semimetals– the so-called planar Hall effect (PHE). PHE implies the appearance of a transverse voltage in the plane of applied non-parallel electric and magnetic fields, in a configuration in which the conventional Hall effect vanishes. Starting from Boltzmann transport equations we derive the expressions for PHE and LMR in topological insulators in the bulk conduction limit, and show the important role played by orbital magnetic moment. Our theoretical results for magnetoconductance with non-parallel electric and magnetic fields predict detailed experimental signatures in topological insulators – specifically of planar Hall effect – that can be observed in experiments.S. NandyA. TaraphderSumanta TewariNature PortfolioarticleTopological Insulators (TIs)Planar Hall Effect (PHE)Hall PlaneBerry PhaseNegative LMRMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-9 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Topological Insulators (TIs) Planar Hall Effect (PHE) Hall Plane Berry Phase Negative LMR Medicine R Science Q
spellingShingle	Topological Insulators (TIs) Planar Hall Effect (PHE) Hall Plane Berry Phase Negative LMR Medicine R Science Q S. Nandy A. Taraphder Sumanta Tewari Berry phase theory of planar Hall effect in topological insulators
description	Abstract The appearance of negative longitudinal magnetoresistance (LMR) in topological semimetals such as Weyl and Dirac semimetals is understood as an effect of chiral anomaly, whereas such an anomaly is not well-defined in topological insulators. Nevertheless, it has been shown recently in both theory and experiments that nontrivial Berry phase effects can give rise to negative LMR in topological insulators even in the absence of chiral anomaly. In this paper, we present a quasi-classical theory of another intriguing phenomenon in topological insulators – also ascribed to chiral anomaly in Weyl and Dirac semimetals– the so-called planar Hall effect (PHE). PHE implies the appearance of a transverse voltage in the plane of applied non-parallel electric and magnetic fields, in a configuration in which the conventional Hall effect vanishes. Starting from Boltzmann transport equations we derive the expressions for PHE and LMR in topological insulators in the bulk conduction limit, and show the important role played by orbital magnetic moment. Our theoretical results for magnetoconductance with non-parallel electric and magnetic fields predict detailed experimental signatures in topological insulators – specifically of planar Hall effect – that can be observed in experiments.
format	article
author	S. Nandy A. Taraphder Sumanta Tewari
author_facet	S. Nandy A. Taraphder Sumanta Tewari
author_sort	S. Nandy
title	Berry phase theory of planar Hall effect in topological insulators
title_short	Berry phase theory of planar Hall effect in topological insulators
title_full	Berry phase theory of planar Hall effect in topological insulators
title_fullStr	Berry phase theory of planar Hall effect in topological insulators
title_full_unstemmed	Berry phase theory of planar Hall effect in topological insulators
title_sort	berry phase theory of planar hall effect in topological insulators
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/d1ead306667b4204ba940513d40dd40c
work_keys_str_mv	AT snandy berryphasetheoryofplanarhalleffectintopologicalinsulators AT ataraphder berryphasetheoryofplanarhalleffectintopologicalinsulators AT sumantatewari berryphasetheoryofplanarhalleffectintopologicalinsulators
_version_	1718388150842163200

Berry phase theory of planar Hall effect in topological insulators

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