Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice

• Verfasst von: Mesterházy, David [VerfasserIn]
• Verfasst von: Berges, Jürgen [VerfasserIn]
• Verfasst von: Smekal, Lorenz von [VerfasserIn]
• Titel: Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Verf.angabe: D. Mesterházy, J. Berges, and L. von Smekal
• E-Jahr: 2012
• Jahr: 26 December 2012
• Umfang: 16 S.
• Fussnoten: Gesehen am 09.09.2022
• Titel Quelle: Enthalten in: Physical review / B
• Ort Quelle: College Park, Md. : APS, 1970
• Jahr Quelle: 2012
• Band/Heft Quelle: 86(2012), 24, Artikel-ID 245431
• ISSN Quelle: 1550-235X
• DOI: doi:10.1103/PhysRevB.86.245431
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1584659092

Abstract

We present a functional renormalization group investigation of an Euclidean three-dimensional matrix Yukawa model with U(N) symmetry, which describes N=2 Weyl fermions that effectively interact via a short-range repulsive interaction. This system relates to an effective low-energy theory of spinless electrons on the honeycomb lattice and can be seen as a simple model for suspended graphene. We find a continuous phase transition characterized by large anomalous dimensions for the fermions and composite degrees of freedom. The critical exponents define a new universality class distinct from Gross-Neveu type models, typically considered in this context.