Generalized Aubry-Andre-Harper model with modulated hopping and p-wave pairing

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buir.contributor.authorYahyavi, Mohammad
buir.contributor.authorHetenyi, Balazs
buir.contributor.authorTanatar, Bilal
buir.contributor.orcidTanatar, Bilal|0000-0002-5246-0119
dc.citation.epage064202-11en_US
dc.citation.issueNumber6en_US
dc.citation.spage064202-1en_US
dc.citation.volumeNumber100en_US
dc.contributor.authorYahyavi, Mohammaden_US
dc.contributor.authorHetenyi, Balazsen_US
dc.contributor.authorTanatar, Bilalen_US
dc.date.accessioned2020-02-07T06:53:02Z
dc.date.available2020-02-07T06:53:02Z
dc.date.issued2019
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe study an extended Aubry-André-Harper model with simultaneous modulation of hopping on-site potential and p-wave superconducting pairing. For the case of commensurate modulation of β=1/2 it is shown that the model hosts four different types of topological states: Adiabatic cycles can be defined which pump particles two types of Majorana fermions or Cooper pairs. In the incommensurate case we calculate the phase diagram of the model in several regions. We characterize the phases by calculating the mean inverse participation ratio and perform multifractal analysis. In addition we characterize whether the phases found are topologically trivial or not. We find an interesting critical extended phase when incommensurate hopping modulation is present. The rise between the inverse participation ratio in regions separating localized and extended states is gradual rather than sharp. When in addition the on-site potential modulation is incommensurate we find several sharp rises and falls in the inverse participation ratio. In these two cases all different phases exhibit topological edge states. For the commensurate case we calculate the evolution of the Hofstadter butterfly and the band Chern numbers upon variation of the pairing parameter for zero and finite on-site potential. For zero on-site potential the butterflies are triangularlike near zero pairing when gap closure occurs they are squarelike and hexagonal-like for larger pairing but with the Chern numbers switched compared to the triangular case. For the finite case gaps at quarter and three-quarters filling close and lead to a switch in Chern numbers.en_US
dc.identifier.doi10.1103/PhysRevB.100.064202en_US
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11693/53153
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttps://dx.doi.org/10.1103/PhysRevB.100.064202en_US
dc.source.titlePhysical Review Ben_US
dc.subjectQuantum phase transitionsen_US
dc.subjectTopological insulatorsen_US
dc.subjectTopological superconductorsen_US
dc.subjectDimensional systemsen_US
dc.subjectQuasicrystalsen_US
dc.titleGeneralized Aubry-Andre-Harper model with modulated hopping and p-wave pairingen_US
dc.typeArticleen_US

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