Spectral flow in the supersymmetric $t$-$J$ model with a $1/r^2$ interaction

Abstract

The spectral flow in the supersymmetric {\it t-J} model with $1/r^2$ interaction is studied by analyzing the exact spectrum with twisted boundary conditions. The spectral flows for the charge and spin sectors are shown to nicely fit in with the motif picture in the asymptotic Bethe ansatz. Although fractional exclusion statistics for the spin sector clearly shows up in the period of the spectral flow at half filling, such a property is generally hidden once any number of holes are doped, because the commensurability condition in the motif is not met in the metallic phase.

8 pages, revtex, Phys. Rev. B54 (1996) August 15, in press

References in corpus (3)

• On Models with Inverse-Square Exchange
• Spectrum and Thermodynamics of the one-dimensional supersymmetric t-J model with $1/r^2$ exchange and hopping
• Exact solution and spectral flow for twisted Haldane-Shastry model

Cited by in corpus (5)

• Spectral flow of non-hermitian Heisenberg spin chain with complex twist
• Dynamical Properties of the One-Dimensional Supersymmetric t-J Model: A View from Elementary Excitations
• SU(ν) Generalization of Twisted Haldane-Shastry Model
• Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice
• Integrabilities of the long range t-J model of twisted boundary condition