具有虚准周期势的二维利布晶格中的精确非赫米梯流动性边缘和稳健平带

IF 2.8 2区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Xiang-Ping Jiang, Weilei Zeng, Yayun Hu, Peng Liu
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引用次数: 0

摘要

迁移率边沿(ME)是一种临界能量,它划定了能谱内扩展态和局部态之间的边界,在理解无序或准周期系统中的金属-绝缘体转变方面起着至关重要的作用。虽然最近对一维非赫米提(NH)准周期晶格中的 ME 进行了广泛的研究,但对二维(2D)情况下精确 NH ME 的研究仍然很少。在本研究中,我们引入了二维耗散李布晶格(DLL)模型,该模型的虚准周期势只作用于李布晶格的顶点。通过将这一 DLL 模型映射到二维 NH Aubry-André-Harper 模型,我们分析推导出了精确的 ME,并发现它与绝对特征能相关联。我们发现,当准周期势足够强时,扩展态的特征值是纯虚的。此外,我们还证明了引入虚准周期势不会破坏系统固有的平坦带。最后,我们提出了利用林德布拉德主方程实现模型的理论框架。我们的结果为进一步研究二维耗散准周期系统中的精确 NH ME 和平坦带铺平了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
The mobility edge (ME) is a critical energy delineates the boundary between extended and localized states within the energy spectrum, and it plays a crucial role in understanding the metal–insulator transition in disordered or quasiperiodic systems. While there have been extensive studies on MEs in one-dimensional non-Hermitian (NH) quasiperiodic lattices recently, the investigation of exact NH MEs in two-dimensional (2D) cases remains rare. In the present study, we introduce a 2D dissipative Lieb lattice (DLL) model with imaginary quasiperiodic potentials applied solely to the vertices of the Lieb lattice. By mapping this DLL model to the 2D NH Aubry–André–Harper model, we analytically derive the exact ME and find it associated with the absolute eigenenergies. We find that the eigenvalues of extended states are purely imaginary when the quasiperiodic potential is strong enough. Additionally, we demonstrate that the introduction of imaginary quasiperiodic potentials does not disrupt the flat bands inherent in the system. Finally, we propose a theoretical framework for realizing our model using the Lindblad master equation. Our results pave the way for further investigation of exact NH MEs and flat bands in 2D dissipative quasiperiodic systems.
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来源期刊
New Journal of Physics
New Journal of Physics 物理-物理:综合
CiteScore
6.20
自引率
3.00%
发文量
504
审稿时长
3.1 months
期刊介绍: New Journal of Physics publishes across the whole of physics, encompassing pure, applied, theoretical and experimental research, as well as interdisciplinary topics where physics forms the central theme. All content is permanently free to read and the journal is funded by an article publication charge.
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