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arXiv · 1212.3617

Quantum Hall ice

Gia-Wei Chern·Armin Rahmani·Ivar Martin·Cristian D. Batista
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Abstract

We show that the chiral kagome ice manifold exhibits an anomalous integer quantum Hall effect (IQHE) when coupled to itinerant electrons. Although electron-mediated interactions select a magnetically ordered ground state, the full ice manifold can coexist with the IQHE over a range of finite temperatures. The degenerate ice states provide a natural realization of power-law correlated flux disorder, for which the spectral gap of the system remains robust. The quantized (up to exponentially small finite-temperature corrections) Hall conductance persists over a wide range of electron densities due to the disorder-induced localization of electronic states.

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Gia-Wei Chern, Armin Rahmani, Ivar Martin, Cristian D. Batista. 2012-12-14. Quantum Hall ice. https://doi.org/10.1103/physrevb.90.241102

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