We investigate a two-dimensional classical N-vector model with a nonlinear interaction (1+σi⋅σj)p in the large-N limit. As observed for N=3 by Blöte et al. [Phys. Rev. Lett. 88, 047203 (2002)], we find a first-order transition for p>pc and no finite-temperature phase transitions for p<pc. For p>pc, both phases have short-range order, the correlation length showing a finite discontinuity at the transition. For p=pc, there is a peculiar transition, where the spin-spin correlation length is finite while the energy-energy correlation length diverges.
Two-dimensional Heisenberg model with nonlinear interactions / Sergio Caracciolo, Andrea Pelissetto. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 66:1(2002), pp. 016120.016120-1-016120.016120-4. [10.1103/PhysRevE.66.016120]
Two-dimensional Heisenberg model with nonlinear interactions
S. Caracciolo;
2002
Abstract
We investigate a two-dimensional classical N-vector model with a nonlinear interaction (1+σi⋅σj)p in the large-N limit. As observed for N=3 by Blöte et al. [Phys. Rev. Lett. 88, 047203 (2002)], we find a first-order transition for p>pc and no finite-temperature phase transitions for p
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