Reconstruction of the polarization distribution of the Rice-Mele model

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dc.citation.epage062104-9en_US
dc.citation.issueNumber6en_US
dc.citation.spage062104-1en_US
dc.citation.volumeNumber95en_US
dc.contributor.authorYahyavi, M.en_US
dc.contributor.authorHetényi, B.en_US
dc.date.accessioned2018-04-12T11:04:05Z
dc.date.available2018-04-12T11:04:05Z
dc.date.issued2017en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe calculate the gauge-invariant cumulants (and moments) associated with the Zak phase in the Rice-Mele model. We reconstruct the underlying probability distribution by maximizing the information entropy and applying the moments as constraints. When the Wannier functions are localized within one unit cell, the probability distribution so obtained corresponds to that of the Wannier function. We show that in the fully dimerized limit the magnitudes of the moments are all equal. In this limit, if the on-site interaction is decreased towards zero, the distribution shifts towards the midpoint of the unit cell, but the overall shape of the distribution remains the same. Away from this limit, if alternate hoppings are finite and the on-site interaction is decreased, the distribution also shifts towards the midpoint of the unit cell, but it does this by changing shape, by becoming asymmetric around the maximum, and by shifting. We also follow the probability distribution of the polarization in cycles around the topologically nontrivial point of the model. The distribution moves across to the next unit cell, its shape distorting considerably in the process. If the radius of the cycle is large, the shift of the distribution is accompanied by large variations in the maximum.en_US
dc.identifier.doi10.1103/PhysRevA.95.062104en_US
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/11693/37147
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.95.062104en_US
dc.source.titlePhysical Review Aen_US
dc.subjectCellsen_US
dc.subjectCytologyen_US
dc.subjectPolarizationen_US
dc.subjectProbabilityen_US
dc.subjectTopologyen_US
dc.subjectCumulantsen_US
dc.subjectInformation entropyen_US
dc.subjectPolarization distributionsen_US
dc.subjectSite interactionen_US
dc.subjectUnit cellsen_US
dc.subjectWannier functionsen_US
dc.subjectProbability distributionsen_US
dc.titleReconstruction of the polarization distribution of the Rice-Mele modelen_US
dc.typeArticleen_US

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