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Pairing instabilities of Dirac composite fermions
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 3
2016 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 94, no 11, 115304Article in journal (Refereed) Published
Abstract [en]

Recently, a Dirac (particle-hole symmetric) description of composite fermions in the half-filled Landau level (LL) was proposed [D. T. Son, Phys. Rev. X 5, 031027 (2015)], and we study its possible consequences on BCS (Cooper) pairing of composite fermions (CFs). One of the main consequences is the existence of anisotropic states in single-layer and bilayer systems, which was previously suggested in Jeong and Park [J. S. Jeong and K. Park, Phys. Rev. B 91, 195119 (2015)]. We argue that in the half-filled LL in the single-layer case the gapped states may sustain anisotropy, because isotropic pairings may coexist with anisotropic ones. Furthermore, anisotropic pairings with the addition of a particle-hole symmetry-breaking mass term may evolve into rotationally symmetric states, i.e., Pfaffian states of Halperin-Lee-Read (HLR) ordinary CFs. On the basis of the Dirac formalism, we argue that in the quantum Hall bilayer at total filling factor 1, with decreasing distance between the layers, weak pairing of p-wave paired CFs is gradually transformed from Dirac to ordinary, HLR-like, with a concomitant decrease in the CF number. Global characterization of low-energy spectra based on the Dirac CFs agrees well with previous calculations performed by exact diagonalization on a torus. Finally, we discuss features of the Dirac formalism when applied in this context.

Place, publisher, year, edition, pages
2016. Vol. 94, no 11, 115304
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-135204DOI: 10.1103/PhysRevB.94.115304ISI: 000383234300006OAI: oai:DiVA.org:su-135204DiVA: diva2:1047059
Available from: 2016-11-16 Created: 2016-11-01 Last updated: 2016-11-16Bibliographically approved

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Juricic, Vladimir
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