Eur. Phys. J. B 31, 525-531 (2003)
https://doi.org/10.1140/epjb/e2003-00062-2

Monte Carlo simulations of the classical two-dimensional discrete frustrated φ⁴ model

¹ Physics Department, Moscow State University, 119992 Moscow, Russia
² Institute of Theoretical Physics, University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands

Corresponding author: ^a vladimir@shg.ru

Received: 16 December 2002
Revised: 17 January 2003
Published online: 6 March 2003

Abstract

The classical two-dimensional discrete frustrated model is studied by Monte Carlo simulations. The correlation function is obtained for two values of a parameter d that determines the frustration in the model. The ground state is a ferro-phase for and a commensurate phase with period N=6 for . Mean field predicts that at higher temperature the system enters a para-phase via an incommensurate state, in both cases. Monte Carlo data for show two phase transitions with a floating-incommensurate phase between them. The phase transition at higher temperature is of the Kosterlitz-Thouless type. Analysis of the data for shows only a single phase transition between the floating-fluid phase and the ferro-phase within the numerical error.