Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
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...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
26 December 2012
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2012, Jahrgang: 86, Heft: 24 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.86.245431 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevB.86.245431 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.86.245431 
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| Verfasserangaben: | D. Mesterházy, J. Berges, and L. von Smekal |
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| 520 | |a 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. | ||
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