The flat phase of quantum polymerized membranes

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.

arXiv comment20 pages, 9 figures, published version

References in corpus (48)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Gauge fields in graphene
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• Electron scattering on microscopic corrugations in graphene
• Optimisation of the exact renormalisation group
• Strain engineering in semiconducting two-dimensional crystals
• Limits on electron quality in suspended graphene due to flexural phonons
• Novel effects of strains in graphene and other two dimensional materials
• An Introduction to the Nonperturbative Renormalization Group
• Introduction to the functional RG and applications to gauge theories
• Self-Consistent Theory of Polymerized Membranes
• Graphene as an electronic membrane
• Fundamentals of the Exact Renormalization Group
• Flexural phonons in free-standing graphene
• Gauge field induced by ripples in graphene
• Critical exponents from optimised renormalisation group flows
• Nonperturbative renormalization group approach to frustrated magnets
• Optimization of the derivative expansion in the nonperturbative renormalization group
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order ${\partial }^4$
• Mind The Gap
• A new method to solve the Non Perturbative Renormalization Group equations
• Crumpling transition and flat phase of polymerized phantom membranes
• Lectures on renormalization and asymptotic safety
• Graphene as a Prototype Crystalline Membrane
• The Structure of Physical Crystalline Membranes within the Self-Consistent Screening Approximation
• Electron-induced rippling in graphene
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)
• Thermal fluctuations of free standing graphene
• Non perturbative renormalization group and momentum dependence of n-point functions (II)
• Correlation between Charge Inhomogeneities and Structure in Graphene and Other Electronic Crystalline Membranes
• Thermodynamics of quantum crystalline membranes
• First order phase transitions in polymerized phantom membranes
• Nonlocal effective average action approach to crystalline phantom membranes
• Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion
• Collective excitations in a large-d model for graphene
• Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
• Functional renormalization group with a compactly supported smooth regulator function
• Asymptotic freedom at zero temperature in crystalline membranes
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Rippling transition from electron-induced condensation of curvature field in graphene
• Comment on "Thermodynamics of quantum crystalline membranes"
• Reply to 'Comment on "Thermodynamics of quantum crystalline membranes"'

Cited by in corpus (16)

• The nonperturbative functional renormalization group and its applications
• Anomalous elasticity, fluctuations and disorder in elastic membranes
• Quantum elasticity of graphene: Thermal expansion coefficient and specific heat
• Differential Poisson's ratio of a crystalline two-dimensional membrane
• Quantum and classical ripples in graphene
• A glassy phase in quenched disordered graphene and crystalline membranes
• The flat phase of polymerized membranes at two-loop order
• Thermodynamic properties of graphene bilayers
• Three-loop order approach to flat polymerized membranes
• Bending rigidity, sound propagation and ripples in flat graphene
• Wrinkling transition in quenched disordered membranes at two loops
• Nuclear quantum effects in graphene bilayers
• Universal behaviors in the wrinkling transition of disordered membranes
• Flat phase of quenched disordered membranes at three-loop order
• Renormalization group approach to the elastic properties of graphene bilayers
• Perturbative renormalization and thermodynamics of quantum crystalline membranes