Finite-size corrections for ground states of the XXZ Heisenberg chain in the critical region
- 21 December 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (18), L1133-L1137
- https://doi.org/10.1088/0305-4470/18/18/004
Abstract
The methods of de Vega and Woynarovitch (1985) are used to calculate finite-size corrections to the ground state energy in different sectors for the XXZ Heisenberg chain, in the critical region -1< Delta <1. The finite-size scaling amplitude for the mass gap between the lowest lying sectors is derived. Using conformal invariance, the scaling dimension is extracted for an associated operator, corresponding to the electric field operator in the 8-vertex model. The conjecture of Baxter and Kelland (1974) for the electric field exponent is confirmed.Keywords
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