耗散量子二维XY和Ashkin-Teller模型中的量子临界性：对铜氧化物的应用
Quantum-Criticality in Dissipative Quantum Two-Dimensional XY and Ashkin-Teller Models: Application to the Cuprates
摘要：
在最近的一篇论文中[V. Aji和C.M. Varma，Phys. Rev. Lett. {\bf 99}，167003（2007）\cite{aji1}]我们已经表明，2D xy模型的耗散驱动的量子相变表示普适类，其中临界时的相关性在空间上是局部的，在时间上是幂律的。在这里，我们提供了一个详细的分析模型。局部临界性是由红外奇异点在空间和时间上的退耦引起的。前者导致Kosterlitz无边界过渡，由此速度场（涡）的横向分量的激励在空间中解除束缚。另一方面，后者导致在速度场的纵向分量中的激励（翘曲）之间的过渡，其在时间上不受约束。量子Ashkin-Teller模型，其中观察到的回路顺序描述的Cuprates映射在临界状态的量子xy模型。我们还讨论了其他模型，预计有类似的属性。
英文摘要：
In a recent paper [V. Aji and C.M. Varma, Phys. Rev. Lett. {\bf 99}, 167003 (2007) \cite{aji1}] we have shown that the dissipation driven quantum phase transition of the 2D xy model represents a universality class where the correlations at criticality is local in space and power law in time. Here we provide a detailed analysis of the model. The local criticality is brought about by the decoupling of infrared singularities in space and time. The former leads to a Kosterlitz Thouless transition whereby the excitations of the transverse component of the velocity field (vortices) unbind in space. The latter on the other hand leads to a transition among excitations (warps) in the longitudinal component of the velocity field, which unbind in time. The quantum Ashkin-Teller model, with which the observed loop order in the Cuprates is described maps in the critical regime to the quantum xy model. We also discuss other models which are expected to have similar properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
