A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions
- 1 January 1977
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 38 (4), 385-391
- https://doi.org/10.1051/jphys:01977003804038500
Abstract
Magnetic systems invariant by a continuous symmetry group (e.g. the Heisenberg and XY models) may have a ground state which exhibits a discrete degeneracy, i.e. the lowest energy states form pockets separated by energy barriers in the phase space. This phenomenon is investigated in detail for the case of an isotropic, bilinear spin Hamiltonian on a Bravais lattice. Apart from spin glasses, which are not considered here, this idea can be applied to magnetism in two-dimensional lattices : two-dimensional, Heisenberg magnets with a discrete ground-state degeneracy are expected to have some kind of long range order below some transition temperature, whereas two-dimensional, conventional ferromagnets are disordered at all finite temperaturesKeywords
This publication has 6 references indexed in Scilit:
- Theory of spin glasses. IIJournal of Physics F: Metal Physics, 1976
- Renormalization of the NonlinearModel inDimensions—Application to the Heisenberg FerromagnetsPhysical Review Letters, 1976
- Critical Behavior at the Onset of-Space Instability on theLinePhysical Review Letters, 1975
- Quantum theory of one- and two-dimensional ferro- and antiferromagnets with an easy magnetization plane . I. ideal 1-d or 2-d lattices without in-plane anisotropyJournal de Physique, 1974
- Spin-ordering in a planar classical Heisenberg modelThe European Physical Journal A, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966