Finite-size corrections for ground states of the XXZ Heisenberg chain
- 11 November 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (16) , 3335-3351
- https://doi.org/10.1088/0305-4470/19/16/030
Abstract
The method of de Vega and Woynarovitch (1985) is used to calculate finite-size corrections to the ground-state energy in different sectors for the XXZ Heisenberg chain. Finite-size scaling amplitudes and correction-to-scaling exponents in the critical region are derived. Using conformal invariance, a scaling dimension x=( pi - gamma )/2 pi is extracted corresponding to the electric field operator in the 8-vertex model: this confirms a conjecture of Baxter and Kelland (1974). Finite-size scaling properties near the Kosterlitz-Thouless critical point Delta =-1 are discussed.Keywords
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