Quantum phase transitions from analysis of the polarization amplitude

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buir.contributor.authorHetenyi, Balazs
dc.citation.epage085126-1en_US
dc.citation.issueNumber8en_US
dc.citation.spage085126-6en_US
dc.citation.volumeNumber99en_US
dc.contributor.authorHetenyi, Balazsen_US
dc.contributor.authorDora, B.en_US
dc.date.accessioned2020-02-11T06:20:18Z
dc.date.available2020-02-11T06:20:18Z
dc.date.issued2019
dc.departmentDepartment of Physicsen_US
dc.description.abstractIn the modern theory of polarization, polarization itself is given by a geometric phase. In calculations for interacting systems the polarization and its variance are obtained from the polarization amplitude. We interpret this quantity as a discretized characteristic function and derive formulas for its cumulants and moments. In the case of a noninteracting system, our scheme leads to the gauge-invariant cumulants known from polarization theory. We study the behavior of such cumulants for several interacting models. In a one-dimensional system of spinless fermions with nearest neighbor interaction the transition at which gap closure occurs can be clearly identified from the finite size scaling exponent of the variance. When next nearest neighbor interactions are turned on a model with a richer phase diagram emerges, but the finite size scaling exponent is still an effective way to identify the localization transition.en_US
dc.identifier.doi10.1103/PhysRevB.99.085126en_US
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11693/53244
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttps://dx.doi.org/10.1103/PhysRevB.99.085126en_US
dc.source.titlePhysical Review Ben_US
dc.subjectCritical phenomenaen_US
dc.subjectOrder parametersen_US
dc.subjectPhase separationen_US
dc.subjectQuantum phase transitionsen_US
dc.subjectQuantum transporten_US
dc.subjectTopological phases of matteren_US
dc.subjectTransport phenomenaen_US
dc.titleQuantum phase transitions from analysis of the polarization amplitudeen_US
dc.typeArticleen_US

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