Monte Carlo simulation of the one-dimensional N-state clock model with long range inverse square interaction
Abstract
Using Monte Carlo simulation, the one dimensional N-state clock model with long range inverse square interaction has been studied. In the case of N = 6, the temperature dependence of the specific heat shows two peaks at T1 and T2 (< T1). The critical exponent η calculated from the system size dependence of magnetization changes with temperature in the region between T1 and T2. The behaviors are very similar to those of the two-dimensional 6-state clock model with the nearest neighbor interaction which shows two steps of phase transition, Berezinskii-Kosterlitz-Thouless transition and ordinary long range order. We have also confirmed that the temperature T2 shift toward zero with the increase of N.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- March 2009
- DOI:
- 10.1088/1742-6596/150/4/042200
- Bibcode:
- 2009JPhCS.150d2200T