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arXiv · 1707.05777

Edge insulating topological phases in a two-dimensional long-range superconductor

L. Lepori·D. Giuliano·S. Paganelli
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Abstract

We study the zero-temperature phase diagram of a two dimensional square lattice loaded by spinless fermions, with nearest neighbor hopping and algebraically decaying pairing. We find that for sufficiently long-range pairing, new phases, not continuously connected with any short-range phase, occur, signaled by the violation of the area law for the Von Neumann entropy, by semi-integer Chern numbers, and by edge modes with nonzero mass. The latter feature results in the absence of single-fermion edge conductivity, present instead in the short- range limit. The definition of a topology in the bulk and the presence of a bulk-boundary correspondence is still suggested for the long-range phases. Recent experimental proposals and advances open the stimulating possibility to probe the described long-range effects in next-future realistic set-ups.

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L. Lepori, D. Giuliano, S. Paganelli. 2018-01-22. Edge insulating topological phases in a two-dimensional long-range superconductor. https://doi.org/10.1103/physrevb.97.041109

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