Quantum criticality and minimal conductivity in graphene with long-range disorder

dc.creatorOstrovsky, P. M.
dc.creatorGornyi, I. V.
dc.creatorMirlin, A. D.
dc.date2007-02-05
dc.date.accessioned2026-07-07T08:10:29Z
dc.date.available2026-07-07T08:10:29Z
dc.descriptionWe consider the conductivity $σ_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $σ$-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 $σ_{xx}$ acquires the value characteristic for the quantum Hall transition.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0702115
dc.identifierhttp://arxiv.org/abs/cond-mat/0702115
dc.identifierPhys. Rev. Lett. 98, 256801 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.256801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131842
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleQuantum criticality and minimal conductivity in graphene with long-range disorder
dc.typetext

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