Abstract
This is the last paper in a series of three in which we have studied the Peierls substitution in the case of a weak magnetic field. Here we deal with two 2d Bloch eigenvalues which have a conical crossing. It turns out that in the presence of an almost constant weak magnetic field, the spectrum near the crossing develops gaps which remind of the Landau levels of an effective mass-less magnetic Dirac operator.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Transactions of the American Mathematical Society |
| Vol/bind | 374 |
| Udgave nummer | 10 |
| Sider (fra-til) | 7041-7104 |
| Antal sider | 64 |
| ISSN | 0002-9947 |
| DOI | |
| Status | Udgivet - okt. 2021 |
Bibliografisk note
Funding Information:Received by the editors May 25, 2020, and, in revised form, January 26, 2021. 2020 Mathematics Subject Classification. Primary 81Q10, 81Q15; Secondary 35S05. All three authors acknowledge support from Grant 8021-00084B of the Independent Research Fund Denmark ∣ Natural Sciences. The first author was also supported by a Bitdefender Invited Professor Scholarship with IMAR, Bucharest. The second and third authors acknowledge support from the International Research Network (GDRE) ECO-Math financed by CNRS and the Romanian Academy.
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