Journal of Physics Conference Series

Finite-Size scaling at Yang-Lee singularities of 2D discrete spin models

Tomasz Wydro, John F McCabe

Published Feb 28, 2006• 0 citations

Abstract

We numerically study the Hamiltonian limits of the two dimensional (2D) Ising and 3-state Potts models in complex magneticfields. From the Phenomenological Renormalization Group, we find the criticalfield values associated with the Yang-Lee singularity (YLS) in these models. We also determine the low-lying part of the excitation spectrum at the YLS. Finally, we compare the resulting patterns of energy levels to predictions for conformal non-unitary minimal models.

DOI: 10.1088/1742-6596/30/1/013

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/0510190Oct 7, 20050 citations

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

JOHN F. MCCABE, Tomasz Wydro

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.

International Journal of Modern Physics BFeb 10, 20064 citations

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, 20090 citations

Tests of conformal field theory at the Yang-Lee singularity

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

arXiv:0912.3654AIP conference proceedingsJan 1, 20091 citation

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 SeriesMar 1, 20080 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:0710.5068International Journal of Modern Physics BNov 10, 20082 citations