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Topological order in paired states of fermions in two-dimensions with breaking of parity and time-reversal symmetries

We numerically evaluate the entanglement spectrum (singular value decomposition of the wavefunction) of paired states of fermions in two dimensions that break parity and time-reversal symmetries, focusing on the spin-polarized $p_x+ip_y$ case. The entanglement spectrum of the weak-pairing (BCS) phase contains a Majorana zero mode, indicating non-Abelian topological order. In contrast, for the strong-pairing (BEC) phase, we find no such mode, consistent with Abelian topological order.

preprint2009arXivOpen access
N. Bray-AliL. DingS. Haas
cond-mat.mes-hallcond-mat.str-el
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Open access3 authors2 topics
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N. Bray-AliL. DingS. Haas

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