Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions

Details Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions

1996-06-25

arxiv.org/abs/cond-mat/9606190v1

J.Phys.Soc.Jap.65:2824-2829,1996

Physics

Condensed Matter

6 pages, revtex, 3 figures available on request, to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.65.2824

We study the Heisenberg spin chain with twisted boundary conditions, focusing on the adiabatic flow of the energy spectrum as a function of the twist angle. In terms of effective field theory for the nearest-neighbor model, we show that the period 2 (in unit $2\pi$) obtained by Sutherland and Shastry arises from irrelevant perturbations around the massless fixed point, and that this period may be rather general for one-dimensional interacting lattice models at half filling. In contrast, the period for the Haldane-Shastry spin model with $1/r^2$ interaction has a different and unique origin for the period, namely, it reflects fractional statistics in Haldane's sense.

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