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