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Quantum critical behavior in a graphenelike model / Simon Hands; Costas Strouthos

Physical Review B, Volume: 78, Issue: 16, Start page: 165423 (7 pages)

Swansea University Author: Simon, Hands

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Abstract

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling lim...

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Published in: Physical Review B
ISSN: 1098-0121 1550-235X
Published: American Physical Society 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa1125
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Abstract: We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling limit we identify a critical number of flavors N_fc=4.8(2) separating an insulating from a conducting phase. This transition corresponds to the location of a quantum critical point, and we use a fit to the equation of state for the chiral order parameter to estimate the critical exponents. Next we simulate N_f=2 corresponding to real graphene, and approximately locate a transition from strong to weak coupling behaviour. Strong correlations are evident in the weak-coupling regime.
Keywords: graphene, lattice model, quantum critical point
College: College of Science
Issue: 16
Start Page: 165423 (7 pages)