English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/95706
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:


Two-dimensional Bloch electrons in perpendicular magnetic fields: An exact calculation of the Hofstadter butterfly spectrum

AuthorsJanecek, Stefan ; Aichinger, M.; Hernández, Eduardo R.
Issue Date2013
PublisherAmerican Physical Society
CitationPhysical Review B 87: 235429 (2013)
AbstractThe problem of two-dimensional, independent electrons subject to a periodic potential and a uniform perpendicular magnetic field unveils surprisingly rich physics, as epitomized by the fractal energy spectrum known as Hofstadter's butterfly. It has hitherto been addressed using various approximations rooted in either the strong potential or the strong field limiting cases. Here, we report calculations of the full spectrum of the single-particle Schrödinger equation without further approximations. Our method is exact, up to numerical precision, for any combination of potential and uniform field strength. We first study a situation that corresponds to the strong potential limit, and compare the exact results to the predictions of a Hofstadter-like model. We then go on to analyze the evolution of the fractal spectrum from a Landau-like nearly free electron system to the Hofstadter tight-binding limit by tuning the amplitude of the modulation potential. © 2013 American Physical Society.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.87.235429
Identifiersdoi: 10.1103/PhysRevB.87.235429
issn: 1098-0121
e-issn: 1550-235X
Appears in Collections:(ICMAB) Artículos
(ICMM) Artículos
Files in This Item:
File Description SizeFormat 
Two-dimensional Bloch.pdf1,79 MBAdobe PDFThumbnail
Show full item record
Review this work

Related articles:

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.