학술논문
Finite-temperature structure factor in the Haldane-Shastry spin chain.
Document Type
Journal
Author
Peysson, Stéphane (NL-AMST-TP) AMS Author Profile
Source
Subject
33 Special functions -- 33C Hypergeometric functions
33C80Connections with groups and algebras, and related topics
81Quantum theory -- 81R Groups and algebras in quantum theory
81R12Relations with integrable systems
33C80
81
81R12
Language
English
Abstract
The Haldane-Shastry spin chain can be mapped to the infinite coupling limit of the ${\rm SU}(2)$ spin Calogero-Sutherland model. The author uses the ${\rm gl}_2$ Jack polynomial technology to compute the form factors of the spin operator on the multi-spinon spectrum. The spin structure factor is obtained through a form factor expansion. The expansion is proved to converge in the small momentum limit. Numerics based on two- and four-spinon contribution give an approximate result for the infinite temperature static and dynamic structure factor.