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

Abstract

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.

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Cited by in corpus (9)

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• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Unraveling Multifractality and Mobility Edges in Quasiperiodic Aubry-André-Harper Chains through High-Harmonic Generation
• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation