Sine-Gordon field theory for the Kosterlitz-Thouless transitions on fluctuating membranes.

In the preceding paper [J. M. Park and T. C. Lubensky, Phys. Rev. E 53, xxx (1995)] we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to a Gaussian curvature that are not found in a rigid flat surface. In this paper, we derive renormalization-group recursion relations for the sine-Gordon model using field-theoretic techniques developed to study flat-space problems. \textcopyright{} 1996 The American Physical Society.

• Publication year

  1995

• Venue

  Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

• Publication date

  1995-12-13

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.53.2665arXiv cond-mat/9512109PMID 9964553
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Disclination Asymmetry in Deformable Hexatic Membranes and the Kosterlitz-Thouless Transitions

  1995cited by this paper
• Topological defects on fluctuating surfaces: General properties and the Kosterlitz-Thouless transition.

  1995cited by this paper
• Defects in Superfluids, Superconductors and Membranes

  1995cited by this paper
• Field Theory, the Renormalization Group and Critical Phenomena

  1984cited by this paper
• Field theory

  1979cited by this paper
• Higher Transcendental Functions

  1955cited by this paper
• Higher Transcendental Functions

  1954influential reference

• Geometry fluctuations in chiral superfluids

  2024cites this paper
• Holographic and exact RG beta function computations of the Sine-Gordon model

  2020cites this paper
• Symmetry breaking and lattice kirigami: Finite temperature effects

  2019cites this paper
• M ar 2 01 7 IMSC / 2017 / 03 / 02 Exact Renormalization Group and Sine Gordon Theory

  2018cites this paper
• Holographic beta functions for the generalized sine-Gordon theory

  2018cites this paper
• Exact renormalization group and Sine Gordon theory

  2017cites this paper
• Numerical insights into the phase diagram of p-atic membranes with spherical topology

  2017cites this paper
• Exact renormalization group and Sine Gordon theory

  2017cites this paper
• Effective Topological Charge Cancelation Mechanism

  2016cites this paper
• The Interplay of Curvature and Vortices in Flow on Curved Surfaces

  2014cites this paper
• Effective models of membranes from symmetry breaking.

  2014cites this paper
• Renormalization group flow of hexatic membranes.

  2013cites this paper
• Monte Carlo simulations of fluid vesicles with in-plane orientational ordering.

  2010cites this paper
• The statistical mechanics of membranes

  2000cites this paper
• Statistical mechanics of membranes: freezing, undulations, and topology fluctuations

  2000cites this paper
• Gauge theory of disclinations on fluctuating elastic surfaces

  1999cites this paper
• Network models of fluid, hexatic and polymerized membranes

  1997cites this paper
• Kosterlitz-Thouless transitions on a fluctuating surface of genus zero.

  1996cites this paper
• Topological defects on fluctuating surfaces: General properties and the Kosterlitz-Thouless transition.

  1995cites this paper
• Disclination Asymmetry in Deformable Hexatic Membranes and the Kosterlitz-Thouless Transitions

  1995cites this paper