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

Mesterházy, David and Berges, Jürgen and von Smekal, Lorenz (2012):
Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice.
In: Physical Review B, 86 (24), APS, ISSN 1098-0121,
[Online-Edition: http://dx.doi.org/10.1103/PhysRevB.86.245431],
[Article]

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.

Item Type: Article
Erschienen: 2012
Creators: Mesterházy, David and Berges, Jürgen and von Smekal, Lorenz
Title: Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
Language: English
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.

Journal or Publication Title: Physical Review B
Volume: 86
Number: 24
Publisher: APS
Divisions: 05 Department of Physics > Institute of Nuclear Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik > D4: Strongly Interacting Fermion Systems: Graphene
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
05 Department of Physics
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 02 Jan 2013 08:43
Official URL: http://dx.doi.org/10.1103/PhysRevB.86.245431
Identification Number: doi:10.1103/PhysRevB.86.245431
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