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arXiv · 2407.03100

The boundary disorder correlation for the Ising model on a cylinder

Rafael Leon Greenblatt
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Abstract

I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the case of anisotropic couplings). This is obtained from an expression for the finite size scaling term in the free energy on a cylinder in periodic and antiperiodic boundary conditions in terms of Jacobi theta functions.

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Rafael Leon Greenblatt. 2024-07-03. The boundary disorder correlation for the Ising model on a cylinder. https://doi.org/10.21468/scipostphyscore.8.1.017

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