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Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field.
- Source :
-
Transactions of the American Mathematical Society . Oct2021, Vol. 374 Issue 10, p7041-7104. 64p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAGNETIC fields
*DIRAC operators
*LANDAU levels
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 374
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 152533072
- Full Text :
- https://doi.org/10.1090/tran/8402