厄米矩阵
物理
格子(音乐)
成对比较
凝聚态物理
相图
对称性破坏
对称(几何)
量子力学
数学物理
理论物理学
相(物质)
几何学
数学
声学
统计
作者
Li-Jun Lang,You Wang,Hailong Wang,Y. D. Chong
出处
期刊:Physical review
日期:2018-09-24
卷期号:98 (9)
被引量:63
标识
DOI:10.1103/physrevb.98.094307
摘要
We study the emergence and disappearance of defect states in the complex Su-Schrieffer-Heeger (cSSH) model, a non-Hermitian one-dimensional lattice model containing gain and loss on alternating sites. Previous studies of this model have focused on the existence of a non-Hermitian defect state that is localized to the interface between two cSSH domains, and is continuable to the topologically protected defect state of the Hermitian Su-Schrieffer-Heeger (SSH) model. For large gain/loss magnitudes, we find that these defect states can disappear into the continuum, or undergo pairwise spontaneous breaking of a composite sublattice/time-reversal symmetry. The symmetry-breaking transition gives rise to a pair of defect states continuable to non-topologically-protected defect states of the SSH model. We discuss the phase diagram for the defect states, and its implications for non-Hermitian defect states.
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