Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard

R. Crook; C. G. Smith; A. C. Graham; I. Farrer; H. E. Beere; D. A. Ritchie

doi:10.1103/PhysRevLett.91.246803

Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard

Mesoscale and Nanoscale Physics 2009-11-10 v1

Authors: R. Crook , C. G. Smith , A. C. Graham , I. Farrer , H. E. Beere , D. A. Ritchie

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Abstract

We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws patterns of surface charge in the same environment used for measurements. A periodicity in magnetic field, which is observed in both the images and plots, suggests the presence of classical orbits. Subsequent high-pass filtered high-resolution images resemble the predicted probability density of scarred wave functions, which describe the classical orbits.

Keywords

fractal conductance fluctuations scarred wave functions quantum billiard scanning probe microscopy electrostatic lithography classical orbits

Cite

@article{arxiv.cond-mat/0310626,
  title  = {Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard},
  author = {R. Crook and C. G. Smith and A. C. Graham and I. Farrer and H. E. Beere and D. A. Ritchie},
  journal= {arXiv preprint arXiv:cond-mat/0310626},
  year   = {2009}
}

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5 pages, 4 figures To be published in PRL

Imaging Fractal Conductance Fluctuations and Scarred Wave Functions in a Quantum Billiard

Abstract

Keywords

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