随机阻挫二维量子转子模型中的相位玻璃和零温相变
Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
摘要：
研究了具有随机相位阻挫的二维量子转子模型的基态。在熵抽样方案下对相应的（2+1）维经典模型进行了广泛的蒙特卡罗模拟。对于弱的量子涨落，系统处于有限压缩性和有限Edwards-Anderson序参量的相位玻璃相，表明系统在空间和虚时间方向上都具有长程相位刚性.模型的标度特性附近的过渡到带隙，莫特绝缘体状态与消失的压缩性进行了分析。在量子临界点处，动力学指数$z_{\rm dyn}\simeq 1.17$大于1。空间和虚时间方向上的相关长度指数分别由$ν\simeq 0.73$和$ν_z\simeq 0.85$给出，两者都假定值大于纯情况的0.6723。我们推测，相玻璃相是超导的，而不是金属在零电流极限。
英文摘要：
The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling scheme. For weak quantum fluctuation, the system is found to be in a phase glass phase characterized by a finite compressibility and a finite value for the Edwards-Anderson order parameter, signifying long-ranged phase rigidity in both spatial and imaginary time directions. Scaling properties of the model near the transition to the gapped, Mott insulator state with vanishing compressibility are analyzed. At the quantum critical point, the dynamic exponent $z_{\rm dyn}\simeq 1.17$ is greater than one. Correlation length exponents in the spatial and imaginary time directions are given by $ν\simeq 0.73$ and $ν_z\simeq 0.85$, respectively, both assume values greater than 0.6723 of the pure case. We speculate that the phase glass phase is superconducting rather than metallic in the zero current limit.
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