Volume 49, Number 4, February II 2000
|Page(s)||417 - 423|
|Published online||01 September 2002|
An investigation of Weierstrass self-similarity in a semiconductor billiard
School of Physics, University of New South Wales - Sydney, NSW, 2052, Australia
2 Physics Department, University of Oregon - Eugene, OR 97403-1274, USA
3 Physics Department, Nottingham University - Nottingham NG7 2RD, UK
Corresponding author: firstname.lastname@example.org
Accepted: 5 December 1999
We present a model for the self-similar magneto-conductance recently observed in the low-temperature measurement of a semiconductor Sinai billiard. To model the self-similar behaviour, we investigate the scaling properties observed over more than three orders of magnitude in magnetic field. The magneto-conductance is found to be composed of a summation of damped cosines scaled according to a Weierstrass function —a known generator of self-similar behaviour. Our preliminary model, based on a single hierarchy of oscillations with magnetic flux periods of h/2e, provides a close match to the experimental data. However, a refined model featuring co-existing h/e and h/2e hierarchies matches the features of the data with remarkable accuracy.
PACS: 05.45.Df – Fractals / 73.23.Ad – Ballistic transport / 72.20.My – Galvanomagnetic and other magnetotransport effects
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.