Local entanglement and string order parameter in dimerized models

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buir.contributor.authorBahovadinov, Murod S
buir.contributor.authorGülseren, Oğuz
dc.citation.epage9en_US
dc.citation.issueNumber50en_US
dc.citation.spage1en_US
dc.citation.volumeNumber31en_US
dc.contributor.authorBahovadinov, Murod Sen_US
dc.contributor.authorGülseren, Oğuzen_US
dc.contributor.authorSchnack, J.en_US
dc.date.accessioned2020-02-05T13:13:48Z
dc.date.available2020-02-05T13:13:48Z
dc.date.issued2019-09
dc.departmentDepartment of Physicsen_US
dc.description.abstractIn this letter, we propose an application of string order parameter (SOP), commonly used in quantum spin systems, to identify symmetry-protected topological phase (SPT) in fermionic systems in the example of the dimerized fermionic chain. As a generalized form of dimerized model, we consider a one-dimensional spin-1/2 XX model with alternating spin couplings. We employ Jordan–Wigner fermionization to map this model to the spinless Su–Schrieffer– Heeger fermionic model (SSH) with generalized hopping signs. We demonstrate a phase transition between a trivial insulating phase and the Haldane phase by the exact analytical evaluation of reconstructed SOPs which are represented as determinants of Toeplitz matrices with the given generating functions. To get more insight into the topological quantum phase transition (tQPT) and microscopic correlations, we study the pairwise concurrence as a local entanglement measure of the model. We show that the first derivative of the concurrence has a non-analytic behaviour in the vicinity of the tQPT, like in the second order trivial QPTs.en_US
dc.identifier.doi10.1088/1361-648X/ab41b5en_US
dc.identifier.eissn1361-648X
dc.identifier.issn0953-8984
dc.identifier.urihttp://hdl.handle.net/11693/53098
dc.language.isoEnglishen_US
dc.publisherIOPen_US
dc.relation.isversionofhttps://dx.doi.org/10.1088/1361-648X/ab41b5en_US
dc.source.titleJournal of Physics: Condensed Matteren_US
dc.subjectString order parameteren_US
dc.subjectSymmetry protected topological phaseen_US
dc.subjectJordan Wigner fermionizationen_US
dc.subjectSSH modelen_US
dc.subjectLocal entanglementen_US
dc.subjectQuantum phase transitionsen_US
dc.titleLocal entanglement and string order parameter in dimerized modelsen_US
dc.typeArticleen_US

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