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Green Function of the Sutherland Model with SU(2) Internal Symmetry

1997/01/31 by Yusuke Kato
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.78.3193

13pages, Revtex, one ps figure

arxiv created 1997/01/31 · openalex publication_date 1997/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the hole propagator of the Sutherland model with SU(2) internal symmetry for coupling parameter \ensuremathβ\phantom\rule0ex0ex=\phantom\rule0ex0ex1, which is the simplest nontrivial case. One created hole with spin down breaks into two quasiholes with spin down and one quasihole with spin up. While these elementary excitations are energetically free, the form factor reflects their anyonic character. The expression for arbitrary integer \ensuremathβ is conjectured.

Citations