Microwave Realization of the Hofstadter Butterfly

U. Kuhl and H.-J. Stöckmann
Phys. Rev. Lett. 80, 3232 – Published 13 April 1998
PDFExport Citation

Abstract

The transmission of microwaves through an array of 100 scatterers inserted into a waveguide is studied. The length of each scatterer could be varied individually, thus allowing the realization of arbitrary scattering arrangements. For periodic sequences with varying period length the found transmission bands reproduced the Hofstadter butterfly, originally predicted for the spectra of conduction electrons in strong magnetic fields. In the experiment it was used that the same transfer matrix formalism is applicable to both the microwave and the electronic systems.

  • Received 14 October 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.3232

©1998 American Physical Society

Authors & Affiliations

U. Kuhl and H.-J. Stöckmann

  • Fachbereich Physik, Universität Marburg, D-35032 Marburg, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 15 — 13 April 1998

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×