Monte Carlo simulations of an unconventional phase transition for a two-dimensional dimerized quantum Heisenberg model

研究成果: 雜誌貢獻文章

16 引文 斯高帕斯(Scopus)

摘要

Motivated by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice, we reinvestigate the phase transition of this model induced by dimerization using first-principle Monte Carlo simulations. We focus on studying the finite-size scaling of ρ s12L and ρ s22L, where L stands for the spatial box size used in the simulations and ρ si, with i{1,2}, is the spin-stiffness in the i-direction. Remarkably, while we observe a large correction to scaling for the observable ρ s12L, the data for ρ s22L exhibit a good scaling behavior without any indication of a large correction. As a consequence, we are able to obtain a numerical value for the critical exponent ν, which is consistent with the known O(3) result with moderate computational effort. Further, we additionally carry out an unconventional finite-size scaling analysis with which we assume that the ratio of the spatial winding numbers squared is fixed through all simulations. The theoretical correctness of our idea is argued and its validity is confirmed. Using this unconventional finite-size scaling method, even from ρ s1L, which receives the most serious correction among the observables considered in this study, we are able to arrive at a value for ν consistent with the expected O(3) value. A detailed investigation to compare these two finite-size scaling methods should be performed.

原文英語
文章編號014414
期刊Physical Review B - Condensed Matter and Materials Physics
85
發行號1
DOIs
出版狀態已發佈 - 2012 一月 17

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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