Phase transition in the two-dimensional Coulomb gas, and the interfacial roughening transition
- 1 December 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 14 (11), 4978-4982
- https://doi.org/10.1103/physrevb.14.4978
Abstract
The behavior of the interface in the three-dimensional (3-D) Ising and related lattice systems is modeled using a 2-D array of columns of varying heights. We show that the "roughening" transition (the transition from a localized to a delocalized interface) is directly related to the metal-insulator transition in a 2-D Coulomb gas. Implications of this relationship are discussed.Keywords
This publication has 13 references indexed in Scilit:
- Pair approximation equations for properties of the crystal-vapor interfaceJournal of Crystal Growth, 1976
- Pair approximation equations for interfaces and free surfaces in the Ising modelThe Journal of Chemical Physics, 1975
- Interface sharpness in the Ising systemCommunications in Mathematical Physics, 1975
- Equilibrium properties of a two-dimensional Coulomb gasPhysical Review A, 1974
- The critical properties of the two-dimensional xy modelJournal of Physics C: Solid State Physics, 1974
- Structural Transition in the Ising-Model InterfacePhysical Review Letters, 1973
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973
- The phase separation line in the two-dimensional Ising modelCommunications in Mathematical Physics, 1972
- Interfacial Density Profile for Fluids in the Critical RegionPhysical Review Letters, 1965
- The Spherical Model of a FerromagnetPhysical Review B, 1952