Continuous-time worm quantum Monte Carlo study of a two-dimensional spin-one XXZ model

IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Ji-Woo Lee
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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.

Abstract Image

Abstract Image

二维自旋一 XXZ 模型的连续时间蠕虫量子蒙特卡洛研究
凝聚态物理中的自旋模型非常重要,因为自旋之间的强相互作用会产生各种令人感兴趣的量子相。在这项工作中,我们探索了二维自旋一(\(S=1\))量子 XXZ 模型的量子临界区。通过采用最近提出的蠕虫算法,我们在温度(T)和近邻自旋的z方向自旋分量的相互作用强度(\(\Delta \))的参数空间内进行了量子蒙特卡罗模拟。相图是通过比较蒙特卡洛数据和对超流体刚度和可压缩性的分析考虑而得到的。我们通过测量超流体刚度与温度的函数关系找到了XY相与参数相之间的临界温度,通过测量可压缩性与反铁磁相互作用强度的函数关系找到了反铁磁相互作用的临界强度(\(\Δ _c\))。我们将结果与之前随机序列扩展量子蒙特卡罗研究中的(S=\frac{1}{2}\)情况进行了比较。
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来源期刊
Journal of the Korean Physical Society
Journal of the Korean Physical Society PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
16.70%
发文量
276
审稿时长
5.5 months
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.
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