Spin Softening in Models with Competing Interactions: A New High Anisotropy Expansion to All Orders
arXiv:cond-mat/9408053 · doi:10.1103/PhysRevB.50.10385
Abstract
An expansion in inverse spin anisotropy, which enables us to study the behaviour of discrete spin models as the spins soften, is developed. In particular we focus on models, such as the chiral clock model and the -state clock model with competing first and second neighbour interactions, where there are special multiphase points at zero temperature at which an infinite number of ground states are degenerate. The expansion allows calculation of the ground state phase diagram near these points as the spin anisotropy, which constrains the spin to take discrete values, is reduced from infinity. Several different behaviours are found, from a single first order phase boundary to infinite series of commensurate phases.
Revtex 11p, to appear in Phys. Rev. B (rapid comm.), OUTP-94-17S
Cited by in corpus (7)
- Surface spin-flop and discommensuration transitions in antiferromagnets
- Lifting of Multiphase Degeneracy by Quantum Fluctuations
- Topological solitons and bulk polarization switch in collinear type II multiferroics
- An Upsilon Point in a Spin Model
- Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
- Equilibrium and dynamical properties of the ANNNI chain at the multiphase point
- Splitting the multiphase point