（2+1）维XY模型临界性的数值对角化分析：非对角Novotny方法
Numerical diagonalization analysis of the criticality of the (2+1)-dimensional XY model: Off-diagonal Novotny's method
摘要：
用数值对角化方法研究了（2+1）维XY模型的临界性。到目前为止，人们认为对角化方法不太适合分析大维度的临界性（d \ge 3）;事实上，对角化方法的易处理系统大小受到严格限制。在本文中，我们采用Novotny的方法，使我们能够处理各种系统的大小N= 6，8，. 20（N：构成一个簇的自旋数）。为此，我们开发了一种非对角版本的Novotny方法，采用非对角（量子力学XY）相互作用。此外，为了改善有限尺寸标度行为，我们调整耦合常数参数到标度不变点。结果，我们估计临界指数为ν=0.675（20）和γ/ν=1.97（10）。
英文摘要：
The criticality of the (2+1)-dimensional XY model is investigated with the numerical diagonalization method. So far, it has been considered that the diagonalization method would not be very suitable for analyzing the criticality in large dimensions (d \ge 3); in fact, the tractable system size with the diagonalization method is severely restricted. In this paper, we employ Novotny's method, which enables us to treat a variety of system sizes N=6,8,...,20 (N: the number of spins constituting a cluster). For that purpose, we develop an off-diagonal version of Novotny's method to adopt the off-diagonal (quantum-mechanical XY) interaction. Moreover, in order to improve the finite-size-scaling behavior, we tune the coupling-constant parameters to a scale-invariant point. As a result, we estimate the critical indices as ν=0.675(20) and γ/ν=1.97(10).
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。
