Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
arXiv:cond-mat/0412281 · doi:10.1103/PhysRevB.71.085112
Abstract
The existence of a discontinuity in the inverse dielectric constant of the two-dimensional Coulomb gas is demonstrated on purely numerical grounds. This is done by expanding the free energy in an applied twist and performing a finite-size scaling analysis of the coefficients of higher-order terms. The phase transition, driven by unbinding of dipoles, corresponds to the Kosterlitz-Thouless transition in the 2D XY model. The method developed is also used for investigating the possibility of a Kosterlitz-Thouless phase transition in a three-dimensional system of point charges interacting with a logarithmic pair-potential, a system related to effective theories of low-dimensional strongly correlated systems. We also contrast the finite-size scaling of the fluctuations of the dipole moments of the two-dimensional Coulomb gas and the three-dimensional logarithmic system to those of the three-dimensional Coulomb gas.
15 pages, 16 figures
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- Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory
- Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets
- Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
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- Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
- Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
- Three Phases in the 3D Abelian Higgs Model with Nonlocal Gauge Interactions