Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Modern Physics B

EXCITATION SPECTRUM AT THE YANG–LEE EDGE SINGULARITY OF THE 2D ISING MODEL

JOHN F. MCCABE, Tomasz Wydro

Published Feb 10, 2006• 4 citations
Publisher

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
10.1142/s021797920603336x

Related papers

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

Tomasz Wydro, McCabe, John F.

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.

arXiv:cond-mat/0510190•Oct 7, 2005•0 citations

EXCITATION SPECTRUM AT THE YANG–LEE EDGE SINGULARITY OF 2D ISING MODEL ON THE STRIP

Smain Balaska, JOHN F. MCCABE, Tomasz Wydro

At the Yang–Lee edge singularity, finite-size scaling behavior is used to measure the low-lying excitation spectrum of the Ising quantum spin chain for free boundary conditions. The measured spectrum is used to identify the conformal field theory that describes the Yang–Lee edge singularity of the 2D Ising model for free boundary conditions.

arXiv:0710.5068•International Journal of Modern Physics B•Nov 10, 2008•2 citations

Tests of conformal field theory at the Yang-Lee singularity

Tomasz Wydro, John F. McCabe, Yurij V. Holovatch +3 more

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.

arXiv:0912.3654•AIP conference proceedings•Jan 1, 2009•1 citation

Tests of Conformal Field Theory at the Yang-Lee Singularity

Tomasz Wydro, Universite Paul, Verlaine Metz +1 more

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.

•Jan 1, 2009•0 citations

STRUCTURE CONSTANT OF THE YANG–LEE EDGE SINGULARITY

Tomasz Wydro, JOHN F. McCABE

This paper studies the Yang–Lee singularity of the 2-dimensional Ising model on the cylinder via transfer matrix and finite-size scaling techniques. These techniques enable a measurement of the 2-point and 3-point correlations and a comparison of a measurement of a corresponding universal amplitude with a prediction for the amplitude from the (A4, A1) minimal conformal field theory.

arXiv:0803.2953•International Journal of Modern Physics B•Oct 30, 2008•0 citations

Excitation spectrum at the Yang-Lee edge singularity of the 2D Ising model with boundaries

Tomasz Wydro, J F McCabe, Smain Balaska

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.

Journal of Physics Conference Series•Mar 1, 2008•0 citations
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.
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.
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.