Universal amplitude ratios for scaling corrections on Ising strips with fixed boundary conditions

Abstract

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed ($+-$) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form $a_k/N^{2k-1}$ for the free energy $f_N$ and $b_k^{(n)}/N^{2k-1}$ for inverse correlation length ${\xi }_n^{-1}$, with integer value of $k$. We investigate the set $\{a_k,b_k^{(n)}\}$ by exact evaluation and their changes upon varying anisotropy of coupling. We find that the amplitude ratios $b_k^{(n)}/a_k$ remain constant upon varying coupling anisotropy. Such universal behavior are correctly reproduced by the conformal perturbative approach.

11 pages, 1 figure

References in corpus (2)

• Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model
• Ising model with mixed boundary conditions: universal amplitude ratios

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