Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model

Details Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model

2010-05-11

arxiv.org/abs/1005.1710v1

Nucl. Phys. B 808, 613 (2009)

Physics

Condensed Matter

Statistical Mechanics

15 pages

Scientific paper

We study the influence of boundary conditions on the finite-size corrections of a one-dimensional (1D) quantum spin model by exact and perturbative theoretic calculations. We obtain two new infinite sets of universal amplitude ratios for the finite-size correction terms of the 1D quantum spin model of $N$ sites with free and antiperiodic boundary conditions. The results for the lowest two orders are in perfect agreement with a perturbative conformal field theory scenario proposed by Cardy [Nucl. Phys. B {\bf 270}, 186 (1986)].

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