Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing

• Published in: Journal of physics. B, Atomic, molecular, and optical physics Vol. 51; no. 2; pp. 25301 - 25307
• Main Authors: Liu, Tong, Wang, Pei, Chen, Shu, Xianlong, Gao
• Format: Journal Article
• Language: English
• Published: IOP Publishing 28.01.2018
• Subjects: Aubry-Andre model; commensurate and incommensurate hopping; multifractal analysis; wave pairing
• ISSN: 0953-4075; 1361-6455
• DOI: 10.1088/1361-6455/aa98d6

Off-diagonal Aubry-André (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.