Quantum Phase Transition in a Graphene Model

Details Quantum Phase Transition in a Graphene Model Quantum Phase Transition in a Graphene Model

2008-08-20

arxiv.org/abs/0808.2720v1

J.Phys.Conf.Ser.150:042191,2009

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, presented at the 25th international conference on Low Temperature Physics, 6-13 August 2008, Amsterdam

Scientific paper

10.1088/1742-6596/150/4/042191

We present results for the equation of state of a graphene-like model in an effort to understand the properties of its quantum phase transition. The N_f fermion species interact through a three dimensional instantaneous Coulomb potential. Since there are no reliable analytical tools that work for all values of N_f and the coupling constant g, we rely on Monte Carlo simulations to calculate the critical properties of the model near the phase transition. We consider the four-component formulation for the fermion fields, which arises naturally as the continuum limit of the staggered fermion construction in (2+1) dimensions. In the limit of infinitely strong Coulomb interaction, the system undergoes a quantum phase transition at a critical number of fermion species N_fc ~ 4.7. We also calculate the values of the critical exponents at the quantum phase transition.

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