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

页码：1563 / 1622

页数：60

共 35 条

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