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Quantum criticality in the two-dimensional dissipative quantum XY model

机译：二维耗散量子XY模型中的量子临界性

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摘要

Earlier Monte Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. We study the phase diagram and the correlation functions when dissipation is very small, where it has properties of the classical 3D-XY transition, i.e., one with a dynamical critical exponent z = 1. The transition changes from z = 1 to the class of criticality with z →∞ driven by topological defects, discovered earlier, beyond a critical dissipation. We also find that the critical correlations have power-law singularities as a function of tuning the ratio of the kinetic energy to the potential energy for fixed large dissipation, as opposed to essential singularities on tuning dissipation keeping the former fixed. A phase with temporal disorder but spatial order of the Kosterlitz-Thouless form is also further investigated. We also present results for the transition when the allowed Caldeira-Leggett form of dissipation and the allowed form of dissipation coupling to the compact rotor variables are both included. The nature of the transition is then determined by the Caldeira-Leggett form.
机译：耗散二维XY模型的早期Monte Carlo计算在多个方向上扩展。我们研究了当耗散很小时的相图和相关函数，它具有经典的3D-XY跃迁的特性，即具有动态临界指数z = 1的跃迁。跃迁从z = 1改变为由拓扑缺陷驱动的z→∞的临界度（较早发现）超出临界耗散。我们还发现，临界相关性具有幂律奇异性，它是调整动能与势能之比以固定较大的耗散的函数，而与调整耗散以保持前者固定的本质奇异性相反。还进一步研究了具有时间紊乱但Kosterlitz-Thouless形式的空间顺序的相。当同时包括允许的Caldeira-Leggett耗散形式和允许的耗散形式耦合到紧凑型转子变量时，我们还给出了转换结果。然后由Caldeira-Leggett形式确定过渡的性质。

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  • 来源
    《Physical review》 |2016年第23期|235156.1-235156.9|共9页
  • 作者

    Lijun Zhu; Changtao Hou; Chandra M. Varma;

  • 作者单位

    Department of Physics and Astronomy, University of California, Riverside, California 92521, USA;

    Department of Physics and Astronomy, University of California, Riverside, California 92521, USA;

    Department of Physics and Astronomy, University of California, Riverside, California 92521, USA;

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