The flat phase of quantum polymerized membranes

Understand

We investigate the flat phase of quantum polymerized phantom membranes by means of a nonperturbative renormalization group approach.

• We first implement this formalism for general quantum polymerized membranes and derive the flow equations that encompass both quantum and thermal fluctuations.
• We then deduce and analyze the flow equations relevant to study the flat phase and discuss their salient features : quantum to classical crossover and, in each of these regimes, strong to weak coupling crossover.
• We finally illustrate these features in the context of free standing graphene physics.