Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates

Details Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates

2011-05-12

arxiv.org/abs/1105.2353v2

Phys. Rev. B 84, 075129 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

10 papes 8 figures

Scientific paper

10.1103/PhysRevB.84.075129

There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely in a novel three dimensional topological semi-metallic phase: a Weyl semi-metal. 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 novel 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 wavevector connecting Weyl nodes with opposite chiralities. A general formula of the anomalous hall coefficients in a Weyl semi-metal is also given. Both proposed effects can be probed by experiments in the near future, and can be used to detect the Weyl semi-metal phase.

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