Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions

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dc.creatorRyu, S.
dc.creatorMudry, C.
dc.creatorFurusaki, A.
dc.creatorLudwig, A. W. W.
dc.date2006-10-23
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:05:38Z
dc.date.available2026-07-07T08:05:38Z
dc.descriptionWe apply the generating function technique developed by Nazarov to the computation of the density of transmission eigenvalues for a two-dimensional free massless Dirac fermion, which, e.g., underlies theoretical descriptions of graphene. By modeling ideal leads attached to the sample as a conformal invariant boundary condition, we relate the generating function for the density of transmission eigenvalues to the twisted chiral partition functions of fermionic ($c=1$) and bosonic ($c=-1$) conformal field theories. We also discuss the scaling behavior of the ac Kubo conductivity and compare its \textit{different} $dc$ limits with results obtained from the Landauer conductance. Finally, we show that the disorder averaged Einstein conductivity is an analytic function of the disorder strength, with vanishing first-order correction, for a tight-binding model on the honeycomb lattice with weak real-valued and nearest-neighbor random hopping.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610598
dc.identifierhttp://arxiv.org/abs/cond-mat/0610598
dc.identifierPhys. Rev. B 75, 205344 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.205344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130338
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleLandauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
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