Quantum Phase Transition in a Graphene Model

Understand

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.