The flat phase of quantum polymerized membranes
O. Coquand, D. Mouhanna
TL;DR
This paper studies the quantum flat phase of polymerized membranes using a nonperturbative renormalization group approach, revealing quantum-classical and coupling crossovers relevant to graphene physics.
Contribution
It introduces a formalism for analyzing quantum polymerized membranes and derives flow equations capturing quantum and thermal fluctuation effects.
Findings
Identification of quantum to classical crossover behavior.
Analysis of strong to weak coupling transitions.
Application to free-standing graphene physics.
Abstract
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.
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