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

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dc.citation.articleNumber115110
dc.citation.issueNumber11
dc.citation.journalTitlePhysical Review B
dc.citation.volumeNumber96
dc.contributor.authorWang, Zhiyuan
dc.contributor.authorXu, Youjiang
dc.contributor.authorPu, Han
dc.contributor.authorHazzard, Kaden R.A.
dc.date.accessioned2017-10-10T21:24:53Z
dc.date.available2017-10-10T21:24:53Z
dc.date.issued2017
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.
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.
dc.identifier.digitalNumber-conserving_interacting_fermion_models
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.96.115110
dc.identifier.urihttps://hdl.handle.net/1911/97785
dc.language.isoeng
dc.publisherAmerican Physical Society
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.
dc.titleNumber-conserving interacting fermion models with exact topological superconducting ground states
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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