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Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations.

Publication ,  Journal Article
Wurm, J; Rycerz, A; Adagideli, I; Wimmer, M; Richter, K; Baranger, HU
Published in: Physical review letters
February 2009

We study the symmetry classes of graphene quantum dots, both open and closed, through the conductance and energy level statistics. For abrupt termination of the lattice, these properties are well described by the standard orthogonal and unitary ensembles. However, for smooth mass confinement, special time-reversal symmetries associated with the sublattice and valley degrees of freedom are critical: they lead to block diagonal Hamiltonians and scattering matrices with blocks belonging to the unitary symmetry class even at zero magnetic field. While the effect of this structure is clearly seen in the conductance of open dots, it is suppressed in the spectral statistics of closed dots, because the intervalley scattering time is shorter than the time required to resolve a level spacing in the closed systems but longer than the escape time of the open systems.

Duke Scholars

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

February 2009

Volume

102

Issue

5

Start / End Page

056806

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Wurm, J., Rycerz, A., Adagideli, I., Wimmer, M., Richter, K., & Baranger, H. U. (2009). Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations. Physical Review Letters, 102(5), 056806. https://doi.org/10.1103/physrevlett.102.056806
Wurm, Jürgen, Adam Rycerz, Inanç Adagideli, Michael Wimmer, Klaus Richter, and Harold U. Baranger. “Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations.Physical Review Letters 102, no. 5 (February 2009): 056806. https://doi.org/10.1103/physrevlett.102.056806.
Wurm J, Rycerz A, Adagideli I, Wimmer M, Richter K, Baranger HU. Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations. Physical review letters. 2009 Feb;102(5):056806.
Wurm, Jürgen, et al. “Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations.Physical Review Letters, vol. 102, no. 5, Feb. 2009, p. 056806. Epmc, doi:10.1103/physrevlett.102.056806.
Wurm J, Rycerz A, Adagideli I, Wimmer M, Richter K, Baranger HU. Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations. Physical review letters. 2009 Feb;102(5):056806.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

February 2009

Volume

102

Issue

5

Start / End Page

056806

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences