Long-range correlations in disordered graphene

dc.creatorZiegler, K.
dc.date2008-06-03
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:00:11Z
dc.date.available2026-07-07T10:00:11Z
dc.descriptionThe appearence of long-range correlations near the Dirac point of a Dirac-like spinor model with random vector potential is studied. These correlations originate from a spontaneously broken symmetry and their corresponding Goldstone modes. Using a strong-disorder expansion, correlation functions and matrix elements are analyzed and compared with results from a weak-disorder expansion. The local density of states correlation and the overlap between states above and below the Dirac point are characterized by a long-range behavior. The correlation range decreases with the distance from the Dirac point. Transport is diffusive and the diffusion coefficient is proportional to the one-particle scattering time for any strength of disorder. A consequence of the special properties of particle-hole scattering is a constant microwave conductivity for weak as well as for strong disorder, describing a deviation from conventional Drude-like transport. Some properties of the model can be linked to a kind of Kondo scale, which is generated by disorder. Finally, the properties of the wave functions at the Dirac point are characterized by their participation ratios, indicating a critical state at the Dirac point.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0806.0540
dc.identifierhttp://arxiv.org/abs/0806.0540
dc.identifierPhys. Rev. B 78, 125401 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.125401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168260
dc.subjectMesoscale and Nanoscale Physics
dc.titleLong-range correlations in disordered graphene
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