Edge insulating topological phases in a two-dimensional long-range superconductor
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.
Cite
@article{arxiv.1707.05777,
title = {Edge insulating topological phases in a two-dimensional long-range superconductor},
author = {L. Lepori and D. Giuliano and S. Paganelli},
journal= {arXiv preprint arXiv:1707.05777},
year = {2018}
}