Work

Vertex coupling interpolation in quantum chain graphs

Year: 2024

Type: article

Abstract: We analyze the band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the δ coupling and the one determined by a simple circulant matrix. We find that flat bands are generically absent and that the negative spectrum is nonempty even for interpolation with a non-attractive δ coupling; we also determine the high-energy asymptotic behavior of the bands.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0208361

Authors: Pavel Exner, Jan Pekař

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Nuclear Physics Institute, Czech Technical University in Prague, Charles University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: European Commission, Grantová Agentura České Republiky, HORIZON EUROPE Marie Sklodowska-Curie Actions

Awards: New Effects from Time-Reversal Non-Invariance, Spectral Optimization: From Mathematics to Physics and Advanced Technology, G7078596962