Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
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Open Access
- 8 August 2011
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 84 (7)
- https://doi.org/10.1103/PhysRevB.84.075129
Abstract
There has been much interest in pyrochlore iridates A(2)Ir(2)O(7) 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.Other Versions
Funding Information
- U.S. Department of Energy
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