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

TL;DR

This paper investigates the excitation spectrum at the Yang-Lee edge singularity of the 2D Ising model using quantum spin chains, confirming predictions from conformal field theory through finite-size scaling.

Contribution

It provides the first detailed numerical analysis of the excitation spectrum at the Yang-Lee edge singularity in the 2D Ising model, aligning results with conformal field theory predictions.

Findings

Excitation spectrum matches (A4, A1) minimal conformal field theory

Finite-size scaling yields consistent central charge values

Results support the conformal invariance at the singularity

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.