标题： 非厄米准周期链中的异常谱 显示英文标题

标题： Anomalous spectrum in a non-Hermitian quasiperiodic chain

摘要： 无序晶格中粒子的谱可以是完全扩展的、局域化的，或者可以是中间的，其中包含相互分离的局域态和扩展态。 然而，在这项工作中，我们表明，在具有长程跃迁和非厄米准周期局域势的一维晶格情况下，谱中的局域态和扩展态相互混合，而不是很好地分离。 结果是一个典型的中间相出现，其中连续的扩展态间歇性地出现在局域态的集合中。 我们还认为，通过适当设计局域势，这种异常的谱混合可以在短程跃迁极限下实现。 此外，我们得出结论，谱的性质在复能平面中也揭示了非标准的情况，其中复能环绕实数。 这些发现揭示了系统中非厄米性和准周期无序之间的复杂相互作用。 显示英文摘要

摘要： The spectra of particles in disordered lattices can either be completely extended or localized or can be intermediate which hosts both the localized and extended states separated from each other. In this work, however, we show that in the case of a one dimensional lattice with long-range hopping and non-Hermitian quasiperiodic onsite potential, the localized and extended states in the spectrum are intermixed with each other rather than well separated. As a result, an atypical intermediate phase appears where consecutive pairs of extended states intermittently appear in the pool of localized states. We also argue that such anomalous spectral intermixing can be realized in the short-range hopping limit by appropriate engineering of the onsite potential. Moreover, we obtain that the nature of the spectrum also reveals non-standard scenarios in the complex energy plane where the complex energies encircle real ones. These findings shed light on the intricate interplay between the non-Hermiticity and quasiperiodic disorder in the system.