New family of solvable 1D Heisenberg models
- authored by
- H. Frahm, V. I. Inozemtsev
- Abstract
Starting from a Calogero-Sutherland model with the hyperbolic interaction confined by an external field with Morse potential, we construct a Heisenberg spin chain with exchange interaction varies as 1/sinh2x on a lattice given in terms of the zeros of Laguerre polynomials. Varying the strength of the Morse potential, the Haldane-Shastry and harmonic spin chains are reproduced. The spectrum of the models in this class is found to be that of a classical one-dimensional Ising chain with non-uniform nearest-neighbour coupling in a non-uniform magnetic field which allows us to study the thermodynamics in the limit of infinite chains.
- Organisation(s)
-
Institute of Theoretical Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
- Type
- Article
- Journal
- Journal of Physics A: General Physics
- Volume
- 27
- Pages
- L801-L807
- No. of pages
- 7
- ISSN
- 0305-4470
- Publication date
- 07.11.1994
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, General Physics and Astronomy, Mathematical Physics
- Electronic version(s)
-
https://arxiv.org/abs/cond-mat/9405038 (Access:
Open)
https://doi.org/10.1088/0305-4470/27/21/003 (Access: Unknown)
