Exact scaling of spin-wave correlations in the 2D XY ferromagnet with dipolar forces
Abstract
Long-range spin-wave correlation functions in the ordered phase of a 2D XY ferromagnet with 2D dipolar forces are governed by the 2D smectic A Hamiltonian and possess exact scaling. The latter confirms from a different perspective the exact results obtained recently for the 2D smectic A. Exact scaling holds in the ordered phase of the 2D XY ferromagnet with 3D dipolar forces, with the dimension of the spatial anisotropy being Δx=4/3 and the anomalous dimension of spin being ηφ=1/6.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1994
- DOI:
- 10.1103/PhysRevLett.73.2264
- Bibcode:
- 1994PhRvL..73.2264K
- Keywords:
-
- 75.10.Hk;
- 61.30.-v;
- 64.60.Fr;
- 75.30.Ds;
- Classical spin models;
- Liquid crystals;
- Equilibrium properties near critical points critical exponents;
- Spin waves