Two-Dimensional Heisenberg Model with Nonlinear Interactions

Details Two-Dimensional Heisenberg Model with Nonlinear Interactions Two-Dimensional Heisenberg Model with Nonlinear Interactions

2002-02-27

arxiv.org/abs/cond-mat/0202506v2

Phys.Rev.E66:016120,2002

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures in a uufile. Discussion of the theory for p = p_c revised and enlarged

Scientific paper

10.1103/PhysRevE.66.016120

We investigate a two-dimensional classical $N$-vector model with a nonlinear interaction $(1 + \bsigma_i\cdot \bsigma_j)^p$ in the large-N limit. As observed for N=3 by Bl\"ote {\em et al.} [Phys. Rev. Lett. {\bf 88}, 047203 (2002)], we find a first-order transition for $p>p_c$ and no finite-temperature phase transitions for $p < p_c$. For $p>p_c$, both phases have short-range order, the correlation length showing a finite discontinuity at the transition. For $p=p_c$, there is a peculiar transition, where the spin-spin correlation length is finite while the energy-energy correlation length diverges.

Affiliated with

Also associated with

No associations

Rating

Two-Dimensional Heisenberg Model with Nonlinear Interactions 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 Two-Dimensional Heisenberg Model with Nonlinear Interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Dimensional Heisenberg Model with Nonlinear Interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51962