Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates

Kai-Yu Yang, Yuan-Ming Lu, and Ying Ran
Phys. Rev. B 84, 075129 – Published 9 August 2011

Abstract

There has been much interest in pyrochlore iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent local density approximation calculation [X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B 83, 205101 (2011)] suggests that the system is likely in a three-dimensional topological semimetallic phase: a Weyl semimetal. Such a system has zero carrier density and arrives at the quantum limit even in a weak magnetic field. In this paper, we discuss two quantum effects of this system in a magnetic field: a pressure-induced anomalous Hall effect and a magnetic-field-induced charge density wave at the pinned wave vector connecting Weyl nodes with opposite chiralities. A general formula of the anomalous Hall coefficients in a Weyl semimetal is also given. Both proposed effects can be probed by experiments in the near future and can be used to detect the Weyl semimetal phase.

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  • Received 27 May 2011

DOI:https://doi.org/10.1103/PhysRevB.84.075129

©2011 American Physical Society

Authors & Affiliations

Kai-Yu Yang, Yuan-Ming Lu, and Ying Ran

  • Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA

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Issue

Vol. 84, Iss. 7 — 15 August 2011

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