This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse field depends on the nearest-neighbor coupling strengths connecting the site, gives a qualitatively different result from the uncorrelated disorder. In the uncorrelated disorder cases where the transverse field is either homogeneous over sites or random independently of the nearest-neighbor coupling strengths, the dynamical critical exponent is infinite. In contrast, in the presence of the correlated disorder, we analytically show that the dynamical critical exponent is finite. We also show that the dynamical critical exponent depends on the tuning process of the transverse field strengths.

这项研究调查了横向场下无序伊辛链的动力学临界指数，以研究相关无序对量子相变的影响。在现场横向场取决于连接该部位的最近邻居耦合强度的相关疾病中，与不相关疾病相比，在质量上存在差异。在不相关的无序情况下，横向场在各个位置上是均匀的，或者是独立于最近邻居的耦合强度而随机的，动态临界指数是无限的。相反，在存在相关疾病的情况下，我们分析表明动态临界指数是有限的。我们还表明，动力学临界指数取决于横向场强的调谐过程。