Exact solution of a spin chain with binary and ternary interactions of Dzialoshinsky-Moriya type
Abstract
We analyze a one-dimensional spin system with two Dzialoshinsky-Moriya-like interactions which couple spins in pairs and triads, respectively. In spite of its intricate aspect, we obtain a very simple solution by means of a Wigner-Jordan transformation. In general, the eigenstates are superposition of spin helixes; they can be characterized as chiral spin states.
- Publication:
-
Physical Review B
- Pub Date:
- October 1999
- DOI:
- 10.1103/PhysRevB.60.9232
- Bibcode:
- 1999PhRvB..60.9232G
- Keywords:
-
- 75.10.Dg;
- 75.25.+z;
- Crystal-field theory and spin Hamiltonians;
- Spin arrangements in magnetically ordered materials