Spectrum of a spin chain with inverse square exchange

verfasst von

H. Frahm

Abstract

The spectrum of a one-dimensional chain of SU(n) spins positioned at the static equilibrium positions of the particles in a corresponding classical Calogero system with an exchange interaction inversely proportional to the square of their distance is studied. As in the translationally invariant Haldane--Shastry model the spectrum is found to exhibit a very simple structure containing highly degenerate ``super-multiplets''. The algebra underlying this structure is identified and several sets of raising and lowering operators are given explicitely. On the basis of this algebra and numerical studies we give the complete spectrum and thermodynamics of the SU(2) system.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Universität Bayreuth

Typ

Artikel

Journal

Journal of Physics A: Mathematical and General

Band

26

Seiten

L473-L479

Anzahl der Seiten

7

ISSN

0305-4470

Publikationsdatum

21.05.1993

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Statistische und nichtlineare Physik, Mathematische Physik, Allgemeine Physik und Astronomie

Elektronische Version(en)

https://arxiv.org/abs/cond-mat/9303050 (Zugang: Offen)
https://doi.org/10.1088/0305-4470/26/10/002 (Zugang: Unbekannt)