Paired states at 5/2: Particle-hole Pfaffian and particle-hole symmetry breaking

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dc.citation.issue11
dc.citation.rankM21
dc.citation.spage115107
dc.citation.volume98
dc.contributor.authorAntonić, Luka
dc.contributor.authorVučičević, Jakša
dc.contributor.authorMilovanović, Milica
dc.date.accessioned2024-07-01T13:14:09Z
dc.date.available2024-07-01T13:14:09Z
dc.date.issued2018-09-05
dc.description.abstractWe study Cooper pairing in the Dirac composite fermion (CF) system. The presence of the mass term in the Dirac CF description (which may simulate Landau level mixing), i.e., breaking of particle-hole (PH) symmetry in this system, is a necessary condition for the existence of a PH Pfaffian-like topological state. In the scope of the random-phase approximation (RPA) and hydrodynamic approach, we find some signatures of pairing at finite frequencies. Motivated by this insight, we extend our analysis to the case of a different but still Dirac quasiparticle (CF) representation, appropriate in the presence of a mass term, and discuss the likelihood of PH Pfaffian and Pfaffian pairings in general. On the basis of gauge field effects, we find for a small Dirac mass, an anti-Pfaffian or Pfaffian instability depending on the sign of mass, while for large mass (Landau level mixing), irrespective of its sign, we find a PH Pfaffian-like instability.
dc.identifier.doi10.1103/physrevb.98.115107
dc.identifier.issn2469-9950
dc.identifier.issn2469-9969
dc.identifier.scopus2-s2.0-85053134297
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/162
dc.identifier.wos000443672300003
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.ispartofPhysical Review B
dc.relation.ispartofabbrPhys. Rev. B
dc.rightsrestrictedAccess
dc.titlePaired states at 5/2: Particle-hole Pfaffian and particle-hole symmetry breaking
dc.typeArticle
dc.type.versionpublishedVersion
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