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

@article{Wurm2009SymmetryCI,
  title={Symmetry classes in graphene quantum dots: universal spectral statistics, weak localization, and conductance fluctuations.},
  author={J. Wurm and A. Rycerz and I. Adagideli and M. Wimmer and K. Richter and H. Baranger},
  journal={Physical review letters},
  year={2009},
  volume={102 5},
  pages={
          056806
        }
}
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… Expand
96 Citations
Wave-function mapping of graphene quantum dots with soft confinement.
  • 93
  • PDF
Nanophysics in graphene: neutrino physics in quantum rings and superlattices
  • H. Fertig, L. Brey
  • Physics, Medicine
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2010
  • 6
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 67 REFERENCES
Random Matrices
  • 3,088
  • PDF
"J."
  • 602,094
APPL
  • 117,313
Europhys
  • Lett. 27, 255
  • 1994
Phys
  • Rev. Lett. 73, 142
  • 1994
Proc
  • R. Soc. Lond. A 412, 53
  • 1987
Conductance fluctuations: Variance of the transmission as a function of the number of open channels in the leads (same cavities as in Fig
  • PRL 102,
  • 2009
Rev. Mod. Phys
  • Rev. Mod. Phys
  • 2009
Appl. Phys. Lett
  • Appl. Phys. Lett
  • 2008
...
1
2
3
4
5
...