A note on inverse-square exchange models

Abstract

The su(1$|$1) symmetric version of the Haldane-Shastry spin chain is diagonalized by means of a linear transformation. The same transformation applied to the original su(2) model yields simple expressions for the Hamiltonian and the generators of the Yangian symmetry of the model in terms of spin wave operators.

text rewritten and reorganized, one reference added, no changes in the formulae

References in corpus (4)

• Lattice Integrable Systems of Haldane-Shastry Type
• On Models with Inverse-Square Exchange
• Exact Solution of the Sutherland Model with arbitrary symmetry
• New Family of Solvable 1D Heisenberg Models

Cited by in corpus (6)

• Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
• Exact solution and thermodynamics of a spin chain with long-range elliptic interactions
• Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions
• Supersymmetric spin chains with non-monotonic dispersion relation: criticality and entanglement entropy
• Algebra of the observables in the Calogero model and in the Chern-Simons matrix model
• Supersymmetric $t$-$J$ models with long-range interactions: partition function and spectrum