Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations

URN to cite this document:

urn:nbn:de:bvb:355-epub-78307 Copy

Wurm, Jürgen ; Rycerz, Adam ; Adagideli, İnanç ; Wimmer, Michael ; Richter, Klaus ; Baranger, Harold U.

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Date of publication of this fulltext: 05 Aug 2009 13:57

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Details

Item type:	Article
Journal or Publication Title:	Physical Review Letters (PRL)
Publisher:	American Physical Society
Volume:	102
Number of Issue or Book Chapter:	5
Page Range:	056806
Date:	6 February 2009
Institutions:	Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Projects:	SFB 689: Spinphänomene in reduzierten Dimensionen
Identification Number:	Value Type 10.1103/PhysRevLett.102.056806 DOI 0808.1008 arXiv ID
Related URLs:	URL URL Type http://link.aps.org/doi/10.1103/PhysRevLett.102.056806 Publisher http://arxiv.org/abs/0808.1008 Preprint
Dewey Decimal Classification:	500 Science > 530 Physics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Item ID:	7830

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Abstract

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 ...

Abstract

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.

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Metadata last modified: 04 Jun 2018 09:12

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