Analytical solution of open crystalline linear 1D tight-binding models

DOI10.1088/1751-8121/ab6a6eOpenAlexW3100764576MaRDI QIDQ5060224

Ricardo G. Dias, A. M. Marques

Publication date: 9 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09667

zbMATH Keywords

analytical solutionsedge statesopen boundariestight-binding models

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Spectral properties of certain tridiagonal matrices
• On the eigenvalues of some tridiagonal matrices
• On periodic block-tridiagonal matrices
• A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices
• The eigenvalues of \(r\)-periodic tridiagonal matrices by factorization of some recursive sequences
• Spectra of certain large tridiagonal matrices
• Quantum communication through chains with diluted disorder
• On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications
• A short course on topological insulators. Band structure and edge states in one and two dimensions
• Observation of many-body localization of interacting fermions in a quasirandom optical lattice
• Recurrence relations with periodic coefficients and Chebyshev polynomials
• Ultracold Atoms in Optical Lattices
• Spectral problem for quasi-uniform nearest-neighbor chains

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