Titel
Holomorphic quantum Hall states in higher Landau levels
Autor*in
Nicolas Rougerie
Université Grenoble-Alpes & CNRS, LPMMC (UMR 5493), B.P. 166, F-38 042 Grenoble, France
Abstract
Eigenstates of the planar magnetic Laplacian with a homogeneous magnetic field form degenerate energy bands, the Landau levels. We discuss the unitary correspondence between states in higher Landau levels and those in the lowest Landau level, where wave functions are holomorphic. We apply this correspondence to many-body systems; in particular, we represent effective Hamiltonians and particle densities in higher Landau levels by using corresponding quantities in the lowest Landau level.
Stichwort
Mathematical PhysicsStatistical and Nonlinear Physics
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:1220871
Erschienen in
Titel
Journal of Mathematical Physics
Band
61
Ausgabe
4
ISSN
0022-2488
Erscheinungsdatum
2020
Seitenanfang
041101-1
Seitenende
041101-16
Publication
AIP Publishing
Fördergeber
European Union (all programmes) — 758620
Erscheinungsdatum
2020
Zugänglichkeit
Rechte
Rechteangabe
© 2020 Author(s).
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