Spectrum of a spin chain with inverse square exchange

authored by

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.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

University of Bayreuth

Type

Article

Journal

Journal of Physics A: Mathematical and General

Volume

26

Pages

L473-L479

No. of pages

7

ISSN

0305-4470

Publication date

21.05.1993

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics, Mathematical Physics, Physics and Astronomy(all)

Electronic version(s)

https://arxiv.org/abs/cond-mat/9303050 (Access: Open)
https://doi.org/10.1088/0305-4470/26/10/002 (Access: Unknown)