English

Phase diagram of a generalized off-diagonal Aubry-Andr\'{e} model with p-wave pairing

Quantum Gases 2018-01-17 v1 Disordered Systems and Neural Networks

Abstract

Off-diagonal Aubry-Andr\'{e} (AA) model has recently attracted a great deal of attention as they provide condensed matter realization of topological phases. We numerically study a generalized off-diagonal AA model with p-wave superfluid pairing in the presence of both commensurate and incommensurate hopping modulations. The phase diagram as functions of the modulation strength of incommensurate hopping and the strength of the p-wave pairing is obtained by using the multifractal analysis. We show that with the appearance of the p-wave pairing, the system exhibits mobility-edge phases and critical phases with various number of topologically protected zero-energy modes. Predicted topological nature of these exotic phases can be realized in a cold atomic system of incommensurate bichromatic optical lattice with induced p-wave superfluid pairing by using a Raman laser in proximity to a molecular Bose-Einstein condensation.

Keywords

Cite

@article{arxiv.1705.03783,
  title  = {Phase diagram of a generalized off-diagonal Aubry-Andr\'{e} model with p-wave pairing},
  author = {Tong Liu and Pei Wang and Shu Chen and Gao Xianlong},
  journal= {arXiv preprint arXiv:1705.03783},
  year   = {2018}
}

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