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

DOI10.4171/jst/524MaRDI QIDQ6652696

Hermann Schulz-Baldes, Unnamed Author

Publication date: 13 December 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

zbMATH Keywords

transfer matricesbanded Toeplitz matricestopological bound states

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Index theory (19K56) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Eigenvalue clusters of large tetradiagonal Toeplitz matrices
• Geometry of Weyl theory for Jacobi matrices with matrix entries
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• Introduction to large truncated Toeplitz matrices
• Eigenvalue curves of asymmetric tridiagonal random matrices
• Spectral theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models
• Asymptotic behavior of block Toeplitz matrices and determinants
• Scattering zippers and their spectral theory
• Signature and spectral flow of \(J\)-unitary \(\mathbb S^1\)-Fredholm operators
• Equilibrium problem for the eigenvalues of banded block Toeplitz matrices
• The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
• The Analytic Theory of Matrix Orthogonal Polynomials
• Topological edge states for disordered bosonic systems
• Toeplitz Matrices and Operators
• On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices
• A problem of Schmidt and Spitzer
• Spectral Properties of Banded Toeplitz Matrices
• Determinants of a Certain Class of Non-Hermitian Toeplitz Matrices.
• Reduced transfer operators for singular difference equations
• Harold Widom's contributions to the spectral theory and asymptotics of Toeplitz operators and matrices

This page was built for publication: Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues