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

T. Fukui·N. Kawakami
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Abstract

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 $2π$) 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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T. Fukui, N. Kawakami. 1996-06-25. Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions. https://doi.org/10.1143/jpsj.65.2824

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