Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues

被引：0
|
作者：
Koekenbier, Lars [1 ]
Schulz-Baldes, Hermann [1 ]
机构：
[1] Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
来源：
JOURNAL OF SPECTRAL THEORY | 2024年 / 14卷 / 04期
关键词：
banded Toeplitz matrices; transfer matrices; topological bound states; BLOCK TOEPLITZ MATRICES; BEHAVIOR; LOCALIZATION;
D O I：
10.4171/JST/524
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Transfer matrix techniques are used to provide a new proof of Widom's results on the asymptotic spectral theory of finite block Toeplitz matrices. Furthermore, a rigorous treatment of the skin effect, spectral outliers, the generalized Brillouin zone and the bulk-boundary correspondence in such systems is given. This covers chiral Hamiltonians with topological eigenvalues close to zero, but no line-gap.
引用
收藏
页码：1563 / 1622
页数：60
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