Journal
PHYSICAL REVIEW B
Volume 82, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.045409
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Funding
- MEC (Spain) [FIS2008-00124, CSD2007-00010]
- Comunidad de Madrid
- Deutscher Akademischer Austausch Dienst DAAD
- Dutch Science Foundation NWO/FOM
- Eurocores program EuroGraphene
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We analyze the single-particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our analytical theory agrees well with numerical simulations. Perturbations breaking electron-hole symmetry such as next-nearest-neighbor hopping or edge impurities shift the edge states away from zero energy but do not change their total amount. We discuss the possibility of detecting the edge states in an antidot array and provide an upper bound on the magnetic moment of a graphene dot.
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