Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice

Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
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二维Kitaev方晶格中拓扑无间隙相的马约拉纳平带边缘模式

DOI:
10.1038/s41598-019-41529-y
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发表时间:
2018-11
期刊:
影响因子:
4.6
通讯作者:
Z.Song
Z.Song
中科院分区:
综合性期刊3区
文献类型:
--
作者:
K.L.Zhang;P.Wang;Z.Song

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研究了正方形晶格上的Kitaev模型,它描述了能隙打开时拓扑平凡的超导体,而支持能隙关闭时拓扑无能隙相。简并点的特征在于动量空间中的两个涡旋,具有相反的缠绕数。我们严格地表明,拓扑无隙相总是主机部分马约拉纳平坦带边模式的带状几何形状,虽然这样的单带模型具有零陈数作为拓扑平凡的超导体。当两个涡旋合并时,无隙相位变得拓扑平凡,平带消失。数值模拟表明,平带对无序具有较强的鲁棒性。
We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum space, with opposite winding numbers. We show rigorously that the topological gapless phase always hosts a partial Majorana flat band edge modes in a ribbon geometry, although such a single band model has zero Chern number as a topologically trivial superconductor. The flat band disappears when the gapless phase becomes topologically trivial, associating with the mergence of two vortices. Numerical simulation indicates that the flat band is robust against the disorder.
DOI: 10.1038/s41598-018-29691-1
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