论文标题
一维准晶格晶格中的确切非弱点移动边缘，呈指数衰减及其双重晶格
Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
论文作者
论文摘要
我们通过分析确定具有指数衰变和复杂电势的一维准静脉晶格模型的非官方迁移率及其双重模型，这只是对Ganeshan-Pixley-Das sarma模型的非敏捷概括，该模型具有非固定的近端近距离占据的距离。非热词的存在破坏了自偶性对称性，从而阻止了我们通过寻找自我偶数点来探索本地化 - 偏置点。然而，通过应用阿维拉的全球理论，可以精确地得出Ganeshan-Pixley-Das Sarma模型的Lyapunov指数，这使我们能够获得非铁人双重模型的移动性边缘的分析表达。因此，通过使用双重变换获得了原始模型的迁移率边缘，从而在这两个模型的光谱和波形之间创建精确的映射。
We analytically determine the non-Hermitian mobility edges of a one-dimensional quasiperiodic lattice model with exponential decaying hopping and complex potentials as well as its dual model, which is just a non-Hermitian generalization of the Ganeshan-Pixley-Das Sarma model with nonreciprocal nearest-neighboring hopping. The presence of non-Hermitian term destroys the self-duality symmetry and thus prevents us exploring the localization-delocalization point through looking for self-dual points. Nevertheless, by applying Avila's global theory, the Lyapunov exponent of the Ganeshan-Pixley-Das Sarma model can be exactly derived, which enables us to get an analytical expression of mobility edge of the non-Hermitian dual model. Consequently, the mobility edge of the original model is obtained by using the dual transformation, which creates exact mappings between the spectra and wavefunctions of these two models.
