Roughening and preroughening in the six vertex model with an extended range of interaction

Abstract

We study the phase diagram of the BCSOS model with an extended interaction range using transfer matrix techniques, pertaining to the (100) surface of single component fcc and bcc crystals. The model shows a 2x2 reconstructed phase and a disordered flat phase. The deconstruction transition between these phases merges with a Kosterlitz-Thouless line, showing an interplay of Ising and Gaussian degrees of freedom. As in studies of the fully frustrated XY model, exponents deviating from Ising are found. We conjecture that tri-critical Ising behavior may be a possible explanation for the non-Ising exponents found in those models.

25 pages in RevTeX 3.0, seven uuencoded postscript figures, REPLACED because of submission error (figures were not included)

References in corpus (4)

• Two phase transitions in the fully frustrated $XY$ model
• Critical Exponents of the Fully Frustrated 2-D Xy Model
• Chiral exponents of the square-lattice frustrated XY model: a Monte Carlo transfer-matrix calculation
• Conformal Anomaly and Critical Exponents of the XY-Ising Model

Cited by in corpus (9)

• Critical behavior of Josephson-junction arrays at f=1/2
• Phase diagram of the restricted solid-on-solid model coupled to the Ising model
• Novel Monte Carlo method to calculate the central charge and critical exponents
• A Transfer Matrix study of the staggered BCSOS model
• Disordered Flat Phase and Phase Diagram for Restricted Solid on Solid Models of Fcc(110) Surfaces
• Is surface melting a surface phase transition?
• Thermal roughening of an SOS-model with elastic interaction
• Interacting hard-core bosons and surface preroughening
• Roughening and preroughening transitions in crystal surfaces with double-height steps