论文标题
在非铁质准晶体中实现重复合和离域 - 局部跃迁之间的对应关系的分解
Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals
论文作者
论文摘要
在具有指数非温和的现场电位的一类Aubry-Andr'e-Harper模型中，能量中的实数转变与定位 - 定位转变之间的对应关系已建立了良好的。在本文中，我们研究了具有非对角线调制和非荷里式现场电位的广义Aubry-Andr'E模型。我们发现，当存在不符合的非对角线调制时，该对应关系分解，尽管扩展相位保持在现场电位的强度和非对角线跳的强度的广泛参数范围内。当异对决跳动变得相应时，出现了一个具有非炎性移动性边缘的中间阶段。该阶段的特征在于对应于扩展状态和局部状态的能量光谱的真实和复杂部分。在这种情况下，由于PT对称性的恢复，上述对应关系再次出现。
The correspondence between the real-complex transition in energy and delocalization-localization transition is well-established in a class of Aubry-Andr'e-Harper model with exponential non-Hermitian on-site potentials. In this paper, we study a generalized Aubry-Andr'e model with off-diagonal modulation and non-Hermitian on-site potential. We find that, when there exists an incommensurate off-diagonal modulation, the correspondence breaks down, although the extended phase is maintained in a wide parameter range of the strengths of the on-site potential and the off-diagonal hoppings. An additional intermediate phase with a non-Hermitian mobility edge emerges when the off-diagonal hoppings become commensurate. This phase is characterized by the real and complex sections of the energy spectrum corresponding to the extended and localized states. In this case, the aforementioned correspondence reappears due to the recovery of the PT-symmetry.
