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Journal of Chemical Physics / Volume 122 / Issue 13 / ARTICLES / Surfaces, Interfaces, and Materials

J. Chem. Phys. 122, 134705 (2005); http://dx.doi.org/10.1063/1.1865932 (6 pages)

Reentrant onset of chaos in tubular image states

Dvira Segal1, Petr Král2, and Moshe Shapiro1

1Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel; Department of Chemistry, University of British Columbia, Vancouver V6T1Z1, Canada; and Department of Physics, University of British Columbia, Vancouver V6T1Z1, Canada
2Department of Chemistry, University of British Columbia, Vancouver V6T1Z1, Canada; Department of Physics, University of British Columbia, Vancouver V6T1Z1, Canada; and Department of Chemistry, University of Illinois at Chicago, Chicago, Illinois

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(Received 16 November 2004; accepted 10 January 2005; published online 4 April 2005)

We investigate the reentrant onset of chaos in “tubular image states,” which are loosely bound states of electrons formed in the vicinity (20–40 nm) of conducting nanotubes. Chaos is shown to arise when an electron is placed in the vicinity of two metallic nanotubess with a magnetic field applied along the tubes. At stronger magnetic fields B ∼ 10 T, we observe the formation of Landau-like states encircling the two-tube system, which wipe out the chaos. We can reinstall the chaos by charging oppositely the nanotubes, thus breaking the symmetry of the system and correspondingly the shape of the Landau-like states. Detailed analysis of the onset of chaos is done by studying the statistical properties of the eigenvalues spectrum and by investigating the spatial autocorrelation functions of individual eigenstates.

© 2005 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE MODEL SYSTEM
  3. THE SYSTEM EIGENENERGIES
  4. ANALYSIS OF THE ONSET OF CHAOS
    1. Level spacing distribution
    2. Autocorrelation functions of the wave functions
  5. SUMMARY

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KEYWORDS and PACS

Keywords

chaos, nanotubes, magnetic field effects, bound states, Landau levels

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1865932

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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