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

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

2011-08-12

arxiv.org/abs/1108.2574v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 1 figure

Scientific paper

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.

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