PMID: 15245044Jul 13, 2004Paper

Detection of a Landau band-coupling-induced rearrangement of the Hofstadter butterfly

Physical Review Letters
M C GeislerH Schweizer

Abstract

The spectrum of 2D electrons subjected to a weak 2D potential and a perpendicular magnetic field is composed of Landau bands with a fractal internal pattern of subbands and minigaps referred to as Hofstadter's butterfly. The Hall conductance may serve as a spectroscopic tool as each filled subband contributes a specific quantized value. Advances in sample fabrication now finally offer access to the regime away from the limiting case of a very weak potential. Complex behavior of the Hall conductance is observed and assigned to Landau band-coupling-induced rearrangements within the butterfly.

References

Nov 15, 1990·Physical Review. B, Condensed Matter·P H BetonC D Wilkinson
Jan 3, 2001·Physical Review Letters·C AlbrechtH Schweizer

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Citations

Mar 21, 2017·Nanoscale·Wanshun XiaZhiming Wang
May 17, 2013·Nature·L A PonomarenkoA K Geim
May 13, 2017·Physical Review Letters·Hideki OzawaYoshiro Takahashi
Sep 30, 2015·Journal of Physics. Condensed Matter : an Institute of Physics Journal·I KylänpääE Räsänen
Jun 10, 2017·Physical Review Letters·János K Asbóth, Andrea Alberti
Jun 21, 2012·Journal of Physics. Condensed Matter : an Institute of Physics Journal·J L Movilla, J Planelles
Mar 13, 2012·Journal of Physics. Condensed Matter : an Institute of Physics Journal·S Sosa y Silva, F Rojas
Apr 22, 2015·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Areg GhazaryanPekka Pietiläinen
Mar 24, 2005·Physical Review Letters·Anders S SørensenMikhail D Lukin
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itzhack Dana, Dmitry L Dorofeev
Jan 15, 2011·Physical Review Letters·Eliot Kapit, Erich Mueller
May 20, 2014·Physical Review Letters·Vadim M Apalkov, Tapash Chakraborty
Feb 26, 2019·Nano Letters·Lujun WangChristian Schönenberger
May 2, 2020·Nano Letters·Momoko OnoderaTomoki Machida
Sep 9, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Kazuki IkedaYoshiyuki Matsuki

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