Ordered Loop Current States in Bilayer Graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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7 pages, 10 figures

Scientific paper

The zero gap non-interacting electronic structure of bilayer graphene is unstable to infinitesimal interactions. Indeed a gap is found in experiments but none of the states proposed so far is consistent with its properties. Here we show that a Magneto-Electric(ME) state is consistent with the experimental observations. This state breaks time-reversal symmetry through a pair of spontaneously generated current loops in each layer, and has odd-parity with respect to the two layers. We also show that such a state wins over the Haldane-type state with spontaneous quantum Hall effect (AHE) which has even parity, for large enough interactions and low enough temperature. We also propose further experiments to confirm this conclusion and the possibility that at higher temperatures the Haldane-type state is realized.

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