方晶格上的纵波Kitaev链中的拟majorana模。

IF 2.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
S Srinidhi, Aayushi Agrawal, Jayendra N Bandyopadhyay
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引用次数: 0

摘要

研究了具有最近邻和次近邻间链跳跃和配对的方形晶格上的基塔耶夫链的拓扑特性。除了无间隙精确零能量模式外,该模型还表现出不严格处于零能量的拓扑无间隙相位承载边缘模式。然而,这些模式可以与体态区分开来。这些状态被称为伪或准马约拉纳模式(qmm)。对该系统的体谱和贝里曲率的探索揭示了其布里渊区内的奇点和携带通量的漩涡。这些涡旋表明存在由两重简并带产生的四重狄拉克点。考察圆柱形几何下的哈密顿量揭示了边缘的性质,证明了拓扑边缘模式的存在。这些模式是系统狄拉克半金属特性的直接拓扑结果。在开放边界条件下对系统进行了分析,以区分多重马约拉纳零模和qmm。该分析包括对归一化位置相关的局部状态密度的研究,它精确地指出了局部边缘状态的存在。此外,数值证据证实了由于有限尺寸效应和它们对无序扰动的鲁棒性,边缘状态具有拓扑保护。拓扑边缘态和净零拓扑电荷的狄拉克点的出现表明该模型是一个弱拓扑超导体。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quasi-Majorana modes in thep-wave Kitaev chains on a square lattice.

The topological characteristics of thep-wave Kitaev chains on a square lattice with nearest-neighbor and next-nearest-neighbor inter-chains hopping and pairing are investigated. Besides gapless exact zero-energy modes, this model exhibits topological gapless phase hosting edge modes, which do not reside strictly at zero energy. However, these modes can be distinguished from the bulk states. These states are known as pseudo- or quasi-Majorana Modes (qMMs). The exploration of this system's bulk spectrum and Berry curvature reveals singularities and flux-carrying vortices within its Brillouin zone. These vortices indicate the presence of four-fold Dirac points arising from two-fold degenerate bands. Examining the Hamiltonian under a cylindrical geometry uncovers the edge properties, demonstrating the existence of topological edge modes. These modes are a direct topological consequence of the Dirac semimetal characteristics of the system. The system is analyzed under open boundary conditions to distinguish the multiple Majorana zero modes and qMMs. This analysis includes a study of the normalized site-dependent local density of states, which pinpoints the presence of localized edge states. Additionally, numerical evidence confirms the topological protection of the edge states due to the finite-size effect and their robustness against disorder perturbations. The emergence of topological edge states and Dirac points with net zero topological charge indicates that this model is a weak topological superconductor.

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来源期刊
Journal of Physics: Condensed Matter
Journal of Physics: Condensed Matter 物理-物理:凝聚态物理
CiteScore
5.30
自引率
7.40%
发文量
1288
审稿时长
2.1 months
期刊介绍: Journal of Physics: Condensed Matter covers the whole of condensed matter physics including soft condensed matter and nanostructures. Papers may report experimental, theoretical and simulation studies. Note that papers must contain fundamental condensed matter science: papers reporting methods of materials preparation or properties of materials without novel condensed matter content will not be accepted.
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