Microscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilities

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dc.citation.issue11
dc.citation.rankM21
dc.citation.spage115150
dc.citation.volume104
dc.contributor.authorGočanin, Dragoljub
dc.contributor.authorPredin, Sonja
dc.contributor.authorDimitrijević Ćirić, Marija
dc.contributor.authorRadovanović, Voja
dc.contributor.authorMilovanović, Milica
dc.date.accessioned2024-06-13T13:04:56Z
dc.date.available2024-06-13T13:04:56Z
dc.date.issued2021-09-23
dc.description.abstractBuilding on previous work [N. Read, Phys. Rev. B58, 16262 (1998)10.1103/PhysRevB.58.16262; Z. Dong and T. Senthil, Phys. Rev. B102, 205126 (2020)10.1103/PhysRevB.102.205126] on the system of bosons at filling factor , we derive the Dirac composite fermion theory for a half-filled Landau level from first principles and apply the Hartree-Fock approach in a preferred representation. On the basis of the microscopic formulation, in the long-wavelength limit, we propose a noncommutative field-theoretical description, which in a commutative limit reproduces the Son's theory, with additional terms that may be expected on physical grounds. The microscopic representation of the problem is also used to discuss pairing instabilities of composite fermions. We find that a presence of a particle-hole symmetry breaking leads to a weak (BCS) coupling -wave pairing in the lowest Landau level, and strong coupling -wave pairing in the second Landau level that occurs in a band with nearly flat dispersion, a third power function of momentum.
dc.identifier.doi10.1103/physrevb.104.115150
dc.identifier.issn2469-9950
dc.identifier.issn2469-9969
dc.identifier.scopus2-s2.0-85115886755
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/89
dc.identifier.wos000704416200005
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review B
dc.relation.ispartofabbrPhys. Rev. B
dc.rightsrestrictedAccess
dc.titleMicroscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilities
dc.typeArticle
dc.type.versionpublishedVersion
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