The Kosterlitz-Thouless phase transition in two-dimensional hierarchical Coulomb gases

A hierarchical version of two-dimensional lattice Coulomb gases is investigated. For {beta} > {beta}{sub c} = 8{pi} there is a locally stable line of fixed points for the renormalization group (block charges) transformations. For {beta} > {beta}{sub c} ({beta}{sub c} {

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Bibliographic Details
Published in:Journal of statistical physics 1989-04, Vol.55 (1-2), p.141-156
Main Authors: MARCHETTI, D. H. U, PEREZ, J. F
Format: Article
Language:English
Subjects:
656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
COULOMB FIELD
CRITICAL TEMPERATURE
DEBYE LENGTH
DIMENSIONS
EIGENVALUES
ELECTRIC FIELDS
Exact sciences and technology
GROUP THEORY
Lattice theory and statistics (ising, potts, etc.)
LENGTH
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
PARTICLE MODELS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
Physics
PLASMA
PROBABILITY
RENORMALIZATION
SCREENING
STATISTICAL MECHANICS
Statistical physics, thermodynamics, and nonlinear dynamical systems
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
TRANSFORMATIONS
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS
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Description
Summary:A hierarchical version of two-dimensional lattice Coulomb gases is investigated. For {beta} > {beta}{sub c} = 8{pi} there is a locally stable line of fixed points for the renormalization group (block charges) transformations. For {beta} > {beta}{sub c} ({beta}{sub c} {
ISSN:0022-4715
1572-9613
DOI:10.1007/BF01042594