无序紧束缚链中的量子局域化

Mobility Edges in 1D Bichromatic Incommensurate Potentials

We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice system which has been implemented in ultracold atoms to study quantum localization. It has been universally believed that the tight-binding version of this bichromatic incommensurate system is represented by the well-known Aubry-Andre model. Here we establish that this belief is incorrect and that the Aubry-Andre model description, which applies only in the extreme tight-binding limit of very deep primary lattice potential, generically breaks down near the localization transition due to the unavoidable ap…

石墨烯中线性缺陷的散射：紧束缚方法

Scattering by linear defects in graphene: a tight-binding approach

我们开发了一个分析散射形式主义计算周期性缺陷线内的紧束缚模型的石墨烯的透射率。我们首先用一个相对简单的例子来说明这个方法，即只含五边形的缺陷线。然后，处理更复杂的缺陷线，即zz（558）和zz（5757）缺陷线。形式主义的发展，只使用简单的紧约束的概念，减少了问题的矩阵操作，可以很容易地制定出任何计算代数计算器。

Novel mobility edges in the off-diagonal disordered tight-binding models

We study the one-dimensional tight-binding models which include a slowly varying, incommensurate off-diagonal modulation on the hopping amplitude. Interestingly, we find that the mobility edges can appear only when this off-diagonal (hopping) disorder is included in the model, which is different from the known results induced by the diagonal disorder. We further study the situation where the off-diagonal and diagonal disorder terms (the incommensurate potential) are both included and find that the locations of mobility edges change significantly and the varying trend of the mobility edge becom…

无公度一维光晶格中超冷玻色子的量子相位

Quantum Phases of Ultra Cold Bosons in Incommensurate 1D Optical Lattices

我们从理论上研究了紧束缚态下的光晶格中的BEC，第二个弱的无公度晶格作为微扰。我们发现，使用直接对角化的小系统和一个大规模的，数量守恒Gutzwiller为基础的平均场方法，该模型的相图。我们发现，超流，莫特绝缘体和玻色玻璃相熟悉的无序系统出现在这里，以及与本地化过渡已经发生在一个1D的几何形状，与众所周知的安德森局域化。我们补充这些结果与GPE模拟，并强调公度和非公度晶格之间的根本区别。这些结果，连同我们已经进行了现实的情况下，计算表明，这种设置是非常适合可用的实验实现。

一维无公度光晶格中迁移率边的预测：一个精确可解的安德森局域化模型

Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization

利用超越最小近邻紧束缚模型的指数短程跳跃研究了一维无公度晶格中非相互作用量子粒子的局域化性质。在这个模型中，能量依赖的迁移率边缘的解析预测和验证的数值计算。然后将结果映射到连续薛定谔方程，得到了局域化相图和基态能量相关迁移率边的近似解析表达式。

Delocalization in One-Dimensional Tight-Binding Models with Fractal Disorder

In the present work, we investigated the correlation-induced localization-delocalization transition in the one-dimensional tight-binding model with fractal disorder. We obtained a phase transition diagram from localized to extended states based on the normalized localization length by controlling the correlation and the disorder strength of the potential. In addition, the transition of the diffusive property of wavepacket dynamics is shown around the critical point.