Number-conserving interacting fermion models with exact topological superconducting ground states

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dc.citation.articleNumber115110en_US
dc.citation.issueNumber11en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber96en_US
dc.contributor.authorWang, Zhiyuanen_US
dc.contributor.authorXu, Youjiangen_US
dc.contributor.authorPu, Hanen_US
dc.contributor.authorHazzard, Kaden R.A.en_US
dc.date.accessioned2017-10-10T21:24:53Zen_US
dc.date.available2017-10-10T21:24:53Zen_US
dc.date.issued2017en_US
dc.description.abstractWe present a method to construct number-conserving Hamiltonians whose ground states exactly reproduce an arbitrarily chosen BCS-type mean-field state. Such parent Hamiltonians can be constructed not only for the usual s -wave BCS state, but also for more exotic states of this form, including the ground states of Kitaev wires and two-dimensional topological superconductors. This method leads to infinite families of locally interacting fermion models with exact topological superconducting ground states. After explaining the general technique, we apply this method to construct two specific classes of models. The first one is a one-dimensional double wire lattice model with Majorana-like degenerate ground states. The second one is a two-dimensional p x + i p y superconducting model, where we also obtain analytic expressions for topologically degenerate ground states in the presence of vortices. Our models may provide a deeper conceptual understanding of how Majorana zero modes could emerge in condensed matter systems, as well as inspire novel routes to realize them in experiment.en_US
dc.identifier.citationWang, Zhiyuan, Xu, Youjiang, Pu, Han, et al.. "Number-conserving interacting fermion models with exact topological superconducting ground states." <i>Physical Review B,</i> 96, no. 11 (2017) American Physical Society: https://doi.org/10.1103/PhysRevB.96.115110.en_US
dc.identifier.digitalNumber-conserving_interacting_fermion_modelsen_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.96.115110en_US
dc.identifier.urihttps://hdl.handle.net/1911/97785en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleNumber-conserving interacting fermion models with exact topological superconducting ground statesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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