English

Three Key Questions on Fractal Conductance Fluctuations: Dynamics, Quantization and Coherence

Mesoscale and Nanoscale Physics 2009-11-10 v2

Abstract

Recent investigations of fractal conductance fluctuations (FCF) in electron billiards reveal crucial discrepancies between experimental behavior and the semiclassical Landauer-Buttiker (SLB) theory that predicted their existence. In particular, the roles played by the billiard's geometry, potential profile and the resulting electron trajectory distribution are not well understood. We present measurements on two custom-made devices - a 'disrupted' billiard device and a 'bilayer' billiard device - designed to probe directly these three characteristics. Our results demonstrate that intricate processes beyond those proposed in the SLB theory are required to explain FCF.

Keywords

Cite

@article{arxiv.cond-mat/0306550,
  title  = {Three Key Questions on Fractal Conductance Fluctuations: Dynamics, Quantization and Coherence},
  author = {A. P. Micolich and R. P. Taylor and T. P. Martin and R. Newbury and T. M. Fromhold and A. G. Davies and H. Linke and W. R. Tribe and L. D. Macks and C. G. Smith and E. H. Linfield and D. A. Ritchie},
  journal= {arXiv preprint arXiv:cond-mat/0306550},
  year   = {2009}
}

Comments

17 pages, 4 figures, in press for Physical Review B

R2 v1 2026-07-22T10:51:39.257Z