Cantor spectrum of graphene in magnetic fields
Accepted version
Peer-reviewed
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Authors
Becker, Simon
Han, Rui
Jitomirskaya, Svetlana
Abstract
We consider a quantum graph as a model of graphene in magnetic fields and give a complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the reduced magnetic flux
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Journal Title
Inventiones mathematicae
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Journal ISSN
0020-9910
1432-1297
1432-1297
Volume Title
218
Publisher
Springer Science and Business Media LLC
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All rights reserved
Sponsorship
This research was partially supported by the NSF DMS-1401204. Support by the EPSRC grant EP/L016516/1 for the University of Cambridge CDT, the CCA is gratefully acknowledged (S.B.).
R.H. would like to thank the Institute for Advanced Study, Princeton, for its hospitality during the 2017-18 academic year.
R.H. was supported in part by NSF DMS-1638352.