Analytic ground state wave functions of mean-fieldﾠpx+ipy superconductors with vortices and boundaries

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dc.citation.articleNumber104501en_US
dc.citation.issueNumber10en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber97en_US
dc.contributor.authorWang, Zhiyuanen_US
dc.contributor.authorHazzard, Kaden R.A.en_US
dc.date.accessioned2018-07-16T18:43:46Zen_US
dc.date.available2018-07-16T18:43:46Zen_US
dc.date.issued2018en_US
dc.description.abstractWe study Read and Green's mean-field model of the spinless px+ipy superconductor [N. Read and D. Green, Phys. Rev. B 61, 10267 (2000)] at a special set of parameters where we find the analytic expressions for the topologically degenerate ground states and the Majorana modes, including in finite systems with edges and in the presence of an arbitrary number of vortices. The wave functions of these ground states are similar (but not always identical) to the Moore-Read Pfaffian states proposed for the ν=5/2 fractional quantum Hall system, which are interpreted as the p-wave superconducting states of composite fermions. The similarity in the long-wavelength universal properties is expected from previous work, but at the special point studied herein the wave functions are exact even for short-range, nonuniversal properties. As an application of these results, we show how to obtain the non-Abelian statistics of the vortex Majorana modes by explicitly calculating the analytic continuation of the ground state wave functions when vortices are adiabatically exchanged, an approach different from the previous one based on universal arguments. Our results are also useful for constructing particle-number-conserving (and interacting) Hamiltonians with exact projected mean-field states.en_US
dc.identifier.citationWang, Zhiyuan and Hazzard, Kaden R.A.. "Analytic ground state wave functions of mean-fieldﾠpx+ipy superconductors with vortices and boundaries." <i>Physical Review B,</i> 97, no. 10 (2018) American Physical Society: https://doi.org/10.1103/PhysRevB.97.104501.en_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.97.104501en_US
dc.identifier.urihttps://hdl.handle.net/1911/102430en_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.titleAnalytic ground state wave functions of mean-fieldﾠpx+ipy superconductors with vortices and boundariesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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