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Open Quantum Systems Decoherence Quantum Simulation

Cantor spectra of magnetic chain graphs

arXiv

Authors: Pavel Exner, Daniel Vasata

Year

2016

Paper ID

42412

Status

Preprint

Abstract Read

~2 min

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Abstract

We demonstrate a one-dimensional magnetic system can exhibit a Cantor-type spectrum using an example of a chain graph with δ coupling at the vertices exposed to a magnetic field perpendicular to the graph plane and varying along the chain. If the field grows linearly with an irrational slope, measured in terms of the flux through the loops of the chain, we demonstrate the character of the spectrum relating it to the almost Mathieu operator.

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We demonstrate a one-dimensional magnetic system can exhibit a Cantor-type spectrum using an example of a chain graph with δ coupling at the vertices exposed to a magnetic...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.04559 [2] arXiv https://arxiv.org/abs/1611.04559 [3] Publisher https://arxiv.org/abs/1611.04559

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