Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

REVTeX style, 4 pages, 6 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.77.041123

Two-dimensional ferromagnetic N-state clock models are studied on a hyperbolic lattice represented by tessellation of pentagons. The lattice lies on the hyperbolic plane with a constant negative scalar curvature. We observe the spontaneous magnetization, the internal energy, and the specific heat at the center of sufficiently large systems, where the fixed boundary conditions are imposed, for the cases N>=3 up to N=30. The model with N=3, which is equivalent to the 3-state Potts model on the hyperbolic lattice, exhibits the first order phase transition. A mean-field like phase transition of the second order is observed for the cases N>=4. When N>=5 we observe the Schottky type specific heat below the transition temperature, where its peak hight at low temperatures scales as N^{-2}. From these facts we conclude that the phase transition of classical XY-model deep inside the hyperbolic lattices is not of the Berezinskii-Kosterlitz-Thouless type.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method 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 Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-653338

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.