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

Autor: Mesterházy, D., Berges, J., von Smekal, L.
Rok vydání: 2012
Předmět:
Zdroj: Phys.Rev. B86 (2012) 245431
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.86.245431
Popis: 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.
Comment: 19 pages, 3 figures; revised and extended version accepted for publication in PRB
Databáze: arXiv