Spectral properties of a tight binding Hamiltonian with period doubling potential
type: Item
instance of: scholarly article
title: Spectral properties of a tight binding Hamiltonian with period doubling potential
zbMATH Open document ID: 0726.58038
DOI: 10.1007/BF02098048
author: Jean Bellissard
author: Anton Bovier
author: Jean-Michel Ghez
published in: Communications in Mathematical Physics
publication date: 1991-01-01T00:00:00Z
review text: One dimensional tight binding Schrödinger operators, i.e. Hamiltonian operators whose potential is a diagonal matrix with an aperiodic sequence as elements, are studied. The paper attempts to give a complete and detailed analysis of the case of period double sequences. It is shown that in this case, for nonzero potential, the spectrum is purely singular continuous and has its support on a Cantor set of zero measure.
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 4199097
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: tight binding
zbMATH Keywords: Hamiltonian operator
reviewed by: Christian Günther
MaRDI profile type: Publication
cites work: Q4237498
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full work available at URL: https://doi.org/10.1007/bf02098048
OpenAlex ID: W2030975840
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description: scientific article; zbMATH DE number 4199097