Phase diagram of the incommensurate off-diagonal Aubry–André model with p-wave pairing. (31st July 2018)

• Record Type: Journal Article
• Authors: Cai, Xiaoming
• Is Part Of: Journal of physics. Volume 30:Number 34(2018)
• Publication Date: 2018-07-31
• Subjects: 1D p-wave superconductor -- Anderson localization -- topological phase transition -- band splitting; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/aad3ef
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: Using exact numerical methods, we study the interplay between p-wave superconductivity and off-diagonal modulation in the incommensurate off-diagonal Aubry–André model with p-wave pairing. When chemical potential is zero, the modulation not only leads to an Anderson-like localization with all bulk states changing into critical ones, but also induces a topological phase transition accompanying the disappearing of exponentially localized zero-energy edge Majorana fermions. These two transitions happen at different places and true Anderson localization is absent. With a finite chemical potential, the quasi-periodicity of the modulation causes band splitting and drives the system into a band insulator phase. It has a fixed incommensurate particle density which is determined by the modulation frequency. Phase diagrams are identified, and can be tested with existing proposals for experimental realizations of the effective off-diagonal disorder and the p-wave pairing.