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Phase diagram and correlation functions of the two-dimensional dissipative quantum XY model

机译：二维耗散量子XY模型的相图和相关函数

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摘要

The two-dimensional quantum XY model, with a Caldeira-Leggett form of dissipation, is applicable to the quantum-critical properties of diverse experimental systems, ranging from superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in metals, to the loop-current order transition in cuprates. We solve the reexpression of this model in terms of orthogonal topological excitations, vortices, and a variety of instantons, by renormalization group methods. The calculations explain the extraordinary properties of the model discovered in Monte Carlo calculations: the product form of the quantum-critical fluctuations in space and time, a spatial correlation length proportional to the logarithm of the temporal correlation length near the transition from a disordered to a fully ordered state, and the occurrence of a phase with spatial order without temporal order. They are intimately related to the flow of the metric of time in relation to the metric of space, i.e., of the dynamical critical exponent z. These properties appear to be essential in understanding the strange metallic phase found in a variety of quantum-critical transitions as well as the accompanying high-temperature superconductivity.
机译：具有Caldeira-Leggett耗散形式的二维量子XY模型适用于各种实验系统的量子临界性质，从超导体到绝缘体的转变，金属中的铁磁和反铁磁转变，到环路电流阶，铜价的过渡。通过重归一化组方法，我们通过正交拓扑激励，涡旋和各种实例来解决该模型的重新表达。这些计算解释了蒙特卡洛计算中发现的模型的非凡性质：空间和时间的量子临界涨落的乘积形式，与从无序到有序跃迁的时间相关长度的对数成正比的空间相关长度。完全有序状态，以及具有空间顺序而没有时间顺序的相位的出现。它们与时间度量的流密切相关，而时间度量的流相对于空间的度量即动态临界指数z。这些性质对于理解在各种量子临界跃迁中发现的奇特金属相以及伴随的高温超导性似乎至关重要。

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  • 来源
    《Physical review》 |2016年第20期|201101.1-201101.5|共5页
  • 作者

    Changtao Hou; Chandra M. Varma;

  • 作者单位

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

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

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