Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1 XY model

Research output: Contribution to journalArticlepeer-review

Abstract

The phase transition for the (2 + 1)-dimensional spin-S = 1 XY model was investigated numerically. Because of the boson-vortex duality, the spin stiffness ρs in the ordered phase and the vortex-condensate stiffness ρv in the disordered phase should have a close relationship. We employed the exact diagonalization method, which yields the excitation gap directly. As a result, we estimate the amplitude ratios ρs,v/∆ (∆: Mott insulator gap) by means of the scaling analyses for the finite-size cluster with N ≤ 22 spins. The ratio ρs/ρv admits a quantitative measure of deviation from selfduality.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - Oct 8 2017

ASJC Scopus subject areas

  • General

Fingerprint Dive into the research topics of 'Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1 XY model'. Together they form a unique fingerprint.

Cite this