Finite-size corrections and numerical calculations for long spin 1/2 Heisenberg chains in the critical region
- 1 February 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (2) , L97-L104
- https://doi.org/10.1088/0305-4470/20/2/010
Abstract
Leading and next-to-leading-order finite-size corrections to the ground and first excited states are calculated for the spin-1/2 anisotropic Heisenberg model in the critical region. The analytic results are compared to numerical data obtained for chains up to a length of N=1024. It is found that, near the isotropic point, the asymptotic region where the results obtained for N to infinity are applicable sets in at very large N values, and for obtaining good accuracy in fitting the numerical data one has to take into account several correction terms, even at large (N>100) chain lengths.Keywords
This publication has 14 references indexed in Scilit:
- Universal term in the free energy at a critical point and the conformal anomalyPhysical Review Letters, 1986
- Conformal invariance, the central charge, and universal finite-size amplitudes at criticalityPhysical Review Letters, 1986
- Operator content of two-dimensional conformally invariant theoriesNuclear Physics B, 1986
- Finite-size corrections for the XXX antiferromagnetJournal of Physics A: General Physics, 1986
- Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex modelNuclear Physics B, 1985
- Finite-size corrections for ground states of the XXZ Heisenberg chain in the critical regionJournal of Physics A: General Physics, 1985
- Ground-state properties of axially anisotropic quantum Heisenberg chainsPhysical Review B, 1984
- Conformal invariance and universality in finite-size scalingJournal of Physics A: General Physics, 1984
- Convergence of finite-size scaling renormalisation techniquesJournal of Physics A: General Physics, 1983
- Magnetization Curve at Zero Temperature for the Antiferromagnetic Heisenberg Linear ChainPhysical Review B, 1964