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

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

1996-08-08

arxiv.org/abs/cond-mat/9608042v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.54.5346

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.

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