Year: 1995
Type: article
Abstract: We study the phase diagram of statistical systems of closed and open interfaces built on a cubic lattice. Interacting closed interfaces can be written as Ising models, while open surfaces can be written as Z(2) gauge systems. When the open surfaces reduce to closed interfaces with few defects, the gauge model can be also written as an Ising spin model. We apply the lower bound renormalization group (LBRG) transformation introduced by Kadanoff (1975 Phys. Rev. Lett. 34 1005) to study the Ising models describing closed and open surfaces with few defects. In particular, we have studied the Ising-like transition of self-avoiding surfaces between the random isotropic phase and the phase with broken global symmetry at varying values of the mean curvature. Our results are compared with previous numerical work. The limits of the LBRG transformation in describing regions of the phase diagram where non-ferromagnetic ground states are relevant are also discussed.
Authors: E N M Cirillo, G Gonnella
Institution: University of Bari Aldo Moro
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2090399201