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arXiv:cond-mat/0510190

Excitation Spectrum at the Yang-Lee Edge Singularity of the 2D Ising model

Tomasz Wydro, McCabe, John F.

Published Oct 7, 2005• 0 citations
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Abstract

This paper studies the Yang-Lee edge singularity of 2-dimensional 2D Ising model through a quantum spin chain. In particular, finite-size scaling measurements on the quantum spin chain are used to determine the low-lying excitation spectrum and central charge at the Yang-Lee edge singularity. The measured values are consistent with predictions for the (A4, A1) minimal conformal field theory.

DOI
10.48550/arxiv.cond-mat/0510190

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This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at the Yang-Lee edge singularity. Based on transfer matrix techniques, the single structure constant is evaluated at the Yang-Lee edge singularity. The results of both types of measurements are found to be fully consistent with the predictions for the (A4;A1)minimal conformal field theory, which was previously identified with this critical point.
The presence of the boundaries imposes severe constraints on the possible Conformal Field Theories (CFTs). Special physical boundary conditions are compatible with CFT and define Boundary Conformal Field Theories (BCFTs). This presentation contains a study of the Yang-Lee edge singularity (YLS) of the two dimensional (2D) Ising model on the infinite strip. At the 2D Ising model's YLS, several potential BCFTs are identified. Based on numerical calculations on an Ising quantum chain at YLS, the measurements are used to identify one of potential BCFTs.