Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models

Details Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models

2008-11-13

arxiv.org/abs/0811.2178v1

Physics

Condensed Matter

Statistical Mechanics

45 pages, 7 figures

Scientific paper

10.1088/1742-5468/2009/02/P02005

We study the phase transition of thin films in the three-dimensional XY universality class. To this end, we perform a Monte Carlo study of the improved two-component \phi^4 model, the improved dynamically diluted XY model and the standard XY model on the simple cubic lattice. We study films of a thickness up to L_0=32 lattice spacings. In the short direction of the lattice free boundary conditions are employed. Using a finite size scaling (FSS) method, proposed recently, we determine the transition temperature with high accuracy. The effectively two-dimensional finite size scaling behaviour of the Binder cumulant U_4, the second moment correlation length over the lattice size \xi_{2nd}/L, the ratio of the partition functions with anti-periodic and periodic boundary conditions Z_a/Z_p and the helicity modulus \Upsilon clearly confirm the Kosterlitz-Thouless nature of the transition. We analyse the scaling of the transition temperature with the thickness L_0 of the film. The predictions of the renormalization group (RG) theory are confirmed. We compute the universal ratio of the thickness of the film L_0 and the transversal correlation length \xi_T in the three-dimensional thermodynamic limit at the Kosterlitz-Thouless transition temperature of a film of thickness L_0: [L_{0,KT}/\xi_T]^* = 1.595(7). This results can be compared with experimental results on thin films of 4He near the \lambda-transition.

Affiliated with

Also associated with

No associations

Rating

Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436328