New family of solvable 1D Heisenberg models
- verfasst von
- 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.
- Organisationseinheit(en)
-
Institut für Theoretische Physik
- Externe Organisation(en)
-
Joint Institute for Nuclear Research (JINR)
- Typ
- Artikel
- Journal
- Journal of Physics A: General Physics
- Band
- 27
- Seiten
- L801-L807
- Anzahl der Seiten
- 7
- ISSN
- 0305-4470
- Publikationsdatum
- 07.11.1994
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Statistische und nichtlineare Physik, Allgemeine Physik und Astronomie, Mathematische Physik
- Elektronische Version(en)
-
https://arxiv.org/abs/cond-mat/9405038 (Zugang:
Offen)
https://doi.org/10.1088/0305-4470/27/21/003 (Zugang: Unbekannt)
