Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/19
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dc.contributor.authorGočanin, Dragoljuben
dc.contributor.authorPredin, Sonjaen
dc.contributor.authorDimitrijević-Ćirić, Marijaen
dc.contributor.authorRadovanović, Vojaen
dc.contributor.authorMilovanović, Milicaen
dc.date.accessioned2022-06-16T19:20:33Z-
dc.date.available2022-06-16T19:20:33Z-
dc.date.issued2021-09-15en
dc.identifier.issn2469-9950en
dc.identifier.urihttps://physrep.ff.bg.ac.rs/handle/123456789/19-
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.en
dc.relation.ispartofPhysical Review Ben
dc.titleMicroscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilitiesen
dc.typeArticleen
dc.identifier.doi10.1103/PhysRevB.104.115150en
dc.identifier.scopus2-s2.0-85115886755en
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85115886755en
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.orcid0000-0002-8656-1030-
crisitem.author.orcid0000-0001-7738-7141-
crisitem.author.orcid0000-0003-0675-1836-
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