发表机构
Indian Institute of Science; Lehigh University（印度科学学院; 理海大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过数值计算揭示，双曲狄拉克液体在弱质量无序下稳定，随无序增强依次经历半金属-金属量子相变和安德森金属-绝缘体转变，而其他双曲晶格仅发生后者。
AI 中文摘要
在庞加莱圆盘上具有开放边界条件的以plaquette为中心的$\{10,3\}$（Schläfli符号）、$\{8,3\}$和$\{8,4\}$双曲晶格上的最近邻（NN）紧束缚模型（TBMs）在零能量（带中心）附近分别表现出消失、有限和发散的态密度（DOS），从而产生狄拉克液体、费米液体和平带。这些晶格在NN-TBMs框架内涌现出的二分性质，使我们能够审视质量无序对其电子态和态密度的影响。通过使用核多项式方法对平均和典型态密度进行大量数值计算，我们表明双曲狄拉克液体在弱质量无序下保持稳定，在中等无序下经历半金属到金属的量子相变，随后在更强的无序下发生安德森金属到绝缘体的转变。其余两个系统仅表现出后一种转变。发现所有这些转变附近的临界指数接近于由位点势无序介导的临界指数。
英文摘要
Nearest-neighbor (NN) tight-binding models (TBMs) on plaquette-centered $\{ 10,3\}$ (Schläfli symbol), $\{ 8,3\}$, and $\{ 8,4\}$ hyperbolic lattices on a Poincaré disk with open boundary conditions display a vanishing, a finite, and a diverging density of states (DOS) near zero energy (band center), respectively, yielding a Dirac liquid, a Fermi liquid, and a flat band. Emergent bipartite nature of these lattices within the framework of NN-TBMs, allows us to scrutinize the impact of mass disorder on the electronic states and DOS therein. From extensive numerical calculations of the average and typical DOS using the kernel polynomial method, we show that hyperbolic Dirac liquid remains stable against weak mass disorder, undergoing a semimetal-to-metal quantum phase transition at moderate disorder, followed by an Anderson metal-to-insulator transition at even stronger disorder. The remaining two systems display only the latter transition. Critical exponents near all these transitions are found to be close to the ones mediated by on-site potential disorder.
Comments6 Pages and 6 Figures (Supplemental Materials as Ancillary File)
