{"title":"Continuous-time worm quantum Monte Carlo study of a two-dimensional spin-one XXZ model","authors":"Ji-Woo Lee","doi":"10.1007/s40042-024-01136-1","DOIUrl":null,"url":null,"abstract":"<div><p>The spin models in condensed matter physics are important since the strong interaction between spins creates various quantum phases of interest. In this work, we explore the quantum critical region of a spin-one (<span>\\(S=1\\)</span>) quantum XXZ model in two dimensions. By adopting a worm algorithm proposed recently, we performed quantum Monte Carlo simulations in the parameter space of temperature (<i>T</i>) and the interaction strength of the <i>z</i>-directional spin component of nearest neighbor spins (<span>\\(\\Delta \\)</span>). The phase diagram is obtained by comparing the Monte Carlo data and analytic consideration of superfluid stiffness and compressibility. We find the critical temperatures between the XY phase and the parameter phase by measuring the superfluid stiffness as a function of temperature and the critical strength of antiferromagnetic interaction (<span>\\(\\Delta _c\\)</span>) by measuring the compressibility as a function of the strength of antiferromagnetic interaction. We compare the results with the case of <span>\\(S=\\frac{1}{2}\\)</span> in our previous stochastic series expansion quantum Monte Carlo study.</p></div>","PeriodicalId":677,"journal":{"name":"Journal of the Korean Physical Society","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Physical Society","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s40042-024-01136-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The spin models in condensed matter physics are important since the strong interaction between spins creates various quantum phases of interest. In this work, we explore the quantum critical region of a spin-one (\(S=1\)) quantum XXZ model in two dimensions. By adopting a worm algorithm proposed recently, we performed quantum Monte Carlo simulations in the parameter space of temperature (T) and the interaction strength of the z-directional spin component of nearest neighbor spins (\(\Delta \)). The phase diagram is obtained by comparing the Monte Carlo data and analytic consideration of superfluid stiffness and compressibility. We find the critical temperatures between the XY phase and the parameter phase by measuring the superfluid stiffness as a function of temperature and the critical strength of antiferromagnetic interaction (\(\Delta _c\)) by measuring the compressibility as a function of the strength of antiferromagnetic interaction. We compare the results with the case of \(S=\frac{1}{2}\) in our previous stochastic series expansion quantum Monte Carlo study.
期刊介绍:
The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.