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Flat phase of quantum polymerized membranes.

O Coquand1, D Mouhanna1

  • 1Sorbonne Universités, UPMC Univ Paris 06, LPTMC, CNRS UMR 7600, F-75005 Paris, France.

Physical Review. E
|October 15, 2016
PubMed
Summary

This study explores the flat phase of quantum polymerized membranes using a nonperturbative renormalization group approach. It reveals quantum-classical and strong-weak coupling crossovers, with applications to graphene physics.

Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Quantum polymerized membranes exhibit complex phases influenced by quantum and thermal fluctuations.
  • Understanding these phases is crucial for materials science and theoretical physics.

Purpose of the Study:

  • To investigate the flat phase of quantum polymerized membranes.
  • To analyze the interplay of quantum and thermal fluctuations.
  • To explore crossovers in different coupling regimes.

Main Methods:

  • Nonperturbative renormalization group approach.
  • Derivation of flow equations for general quantum polymerized membranes.
  • Analysis of flow equations specific to the flat phase.

Main Results:

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  • The study derives and analyzes flow equations encompassing quantum and thermal fluctuations.
  • Key features identified include quantum-to-classical crossover.
  • Strong-to-weak coupling crossover is observed in both quantum and classical regimes.

Conclusions:

  • The nonperturbative renormalization group approach provides a robust framework for studying quantum polymerized membranes.
  • The identified crossovers offer insights into the behavior of these systems.
  • The findings have direct relevance to the physics of free-standing graphene.