A New Method to Calculate a 2D Ising Universality Transition Point: Application near the Ashkin–Teller Multicritical Point

Shunji Moriya, Kiyohide Nomura

Research output: Contribution to journalArticle

Abstract

We propose a new method to numerically calculate transition points that belongs to 2D Ising universality class for quantum spin models. Generally, near the multicritical point, in conventional methods, a finite size correction becomes very large. To suppress the effect of the multicritical point, we use a z-axis twisted boundary condition and a y-axis twisted boundary condition. We apply our method to an S ¼ 12 bond-alternating XXZ model. The multicritical point of this model has a BKT transition, where the correlation length diverges singularly. However, with our method, the convergence of calculation is highly improved, thus we can calculate the transition point even near the multicritical point.

Original languageEnglish
Article numbere093001
Journaljournal of the physical society of japan
Volume89
Issue number9
DOIs
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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