Planar thermal Hall effect in Weyl semimetals

S. Nandy, A. Taraphder, and Sumanta Tewari
Phys. Rev. B 100, 115139 – Published 17 September 2019

Abstract

Weyl semimetals (WSMs) are intriguing topological states of matter that support various anomalous magnetotransport phenomena. One such phenomenon is a positive longitudinal magnetoconductivity and the associated planar Hall effect, which arise due to an effect known as chiral anomaly which is nonzero in the presence of electric and magnetic fields (E0,B0, and E·B0). In this paper we show that another fascinating effect is the planar thermal Hall effect (PTHE), associated with positive longitudinal magnetothermal conductivity (LMTC), which arise even in the absence of chiral anomaly (E=0,B0). This effect is a result of chiral magnetic effect (CME) and involves the appearance of an in-plane transverse temperature gradient when the current due to a nonzero temperature gradient (T) and the magnetic field (B) are not aligned with each other. Using semiclassical Boltzmann transport formalism in the relaxation time approximation we compute both longitudinal magnetothermal conductivity and planar thermal Hall conductivity (PTHC) for a time-reversal symmetry-breaking WSM. We find that both LMTC and PTHC are quadratic in B in type-I WSM whereas each follows a linear-B dependence in type-II WSMs in a configuration where T and B are applied along the tilt direction. In addition, we investigate the Wiedemann-Franz law for an inversion symmetry-broken WSM (e.g., WTe2) and find that this law is violated in these systems due to both chiral anomaly and CME.

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  • Received 21 January 2019

DOI:https://doi.org/10.1103/PhysRevB.100.115139

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

S. Nandy1, A. Taraphder1,2,3, and Sumanta Tewari4

  • 1Department of Physics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India
  • 2Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur, West Bengal 721302, India
  • 3School of Basic Sciences, Indian Institute of Technology Mandi, Kamand 175005, India
  • 4Department of Physics and Astronomy, Clemson University, Clemson, South Carolina 29634, USA

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Issue

Vol. 100, Iss. 11 — 15 September 2019

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