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Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model |
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| Authors: | N.Sh. Izmailian Chin-Kun Hu |
| Affiliation: | 1. Institute of Physics, Academia Sinica, Taipei 11529, Taiwan;2. Yerevan Physics Institute, Alikhanian Br. 2, 375036 Yerevan, Armenia;3. International Center for Advanced Study, Yerevan State University, 1 Alex Manoogian St., Yerevan, 375025, Armenia;4. National Center of Theoretical Sciences at Taipei, Physics Division, National Taiwan University, Taipei 10617, Taiwan;5. Center for Nonlinear and Complex Systems and Department of Physics, Chung-Yuan Christian University, Chungli 320, Taiwan |
| Abstract: | 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 [J. Cardy, Nucl. Phys. B 270 (1986) 186]. |
| Keywords: | 05.50.+q 05.70.Jk 11.25.Hf |
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