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
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.
PACS: 64.70.Rh – Commensurate-incommensurate transitions / 63.70.+h – Statistical mechanics of lattice vibrations and displacive phase transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003