Conductivity of disordered graphene at half filling

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dc.creatorOstrovsky, P. M.
dc.creatorGornyi, I. V.
dc.creatorMirlin, A. D.
dc.date2007-02-26
dc.date.accessioned2026-07-07T08:34:00Z
dc.date.available2026-07-07T08:34:00Z
dc.descriptionWe study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that the localization is ineffective if the randomness preserves one of the chiral symmetries of the clean Hamiltonian or does not mix valleys. We obtain the exact value of minimal conductivity $4e^2/πh$ in the case of chiral disorder. For long-range disorder (decoupled valleys), we derive the effective field theory. In the case of smooth random potential, it is a symplectic-class sigma model including a topological term with $θ= π$. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of $e^2/h$. When the effective time reversal symmetry is broken, the symmetry class becomes unitary, and the conductivity acquires the value characteristic for the quantum Hall transition.
dc.description11 pages, 2 EPS figures; Proceedings of Graphene Conference, MPIPKS Dresden 2006
dc.identifierhttps://arxiv.org/abs/cond-mat/0702616
dc.identifierhttp://arxiv.org/abs/cond-mat/0702616
dc.identifierEur. Phys. J. Special Topics 148, 63 (2007)
dc.identifierdoi:10.1140/epjst/e2007-00226-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139287
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleConductivity of disordered graphene at half filling
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