论文标题
二维横向iSing模型中的量子临界动力学
Quantum critical dynamics in two-dimensional transverse Ising model
论文作者
论文摘要
在量子临界点（QCP）附近，热力学特性朝着由通用指数所控制的零温度差异。尽管这一事实是众所周知的，但尚未解决它如何反映在量子动力学中。作为测试该问题的理想实验平台，我们考虑了一个有机莫特绝缘子，其介电自由度（一种量子电偶极子）由具有QCP的三角形晶格上的横向iSing模型描述。我们通过基于量子蒙特卡洛方法构建动力学方案来跟踪模型的Glauber型动力学。动态敏感性采用了Debye函数的形式，并且由于弛豫时间尺度的分歧，在接近QCP时显示出显着的峰值。它类似于在有机材料\ k {appa} -et 2 x二聚体莫特绝缘阶段观察到的介电常量的异常，表明该材料非常接近铁电QCP。
In the vicinity of the quantum critical point(QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it is reflected in quantum dynamics has not been addressed. As an ideal experimental platform to test the issue, we consider an organic Mott insulator whose dielectric degrees of freedom, a quantum electric dipole, is described by the transverse Ising model on a triangular lattice that has a QCP. We track the Glauber-type dynamics of the model by constructing a kinetic protocol based on the quantum Monte Carlo method. The dynamical susceptibility takes the form of the Debye function and shows a significant peak-narrowing in approaching a QCP due to the divergence of the relaxation timescale. It resembles the anomaly of dielectric constants observed in the organic materials \k{appa}-ET 2 X dimer Mott insulating phase, indicating that the material is very near the ferroelectric QCP.
