Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 99: Poster Session: Transport
TT 99.16: Poster
Donnerstag, 15. März 2018, 15:00–19:00, Poster B
Currents in graphene and possible Cooper pair formation — •Klaus Morawetz — Münster University of Applied Sciences,Stegerwaldstrasse 39, 48565 Steinfurt, Germany — International Institute of Physics- UFRN,Campus Universitário Lagoa nova,59078-970 Natal, Brazil — Max-Planck-Institute for the Physics of Complex Systems, 01187 Dresden, Germany
Based on the quantum kinetic equations for systems with SU(2) structure,
regularization-free density and pseudospin currents are calculated in graphene
realized as the
infinite mass-limit of electrons with quadratic dispersion and a proper
spin-orbit coupling. The currents possess no quasiparticle
part but only anomalous parts. The intraband and interband conductivities are
discussed with respect to magnetic fields and magnetic domain puddles. For large Zeeman fields the dynamical
conductivities become independent of the density and are universal. The optical conductivity agrees well
with the experimental values using screened impurity scattering and an
effective Zeeman field. The universal value of Hall conductivity is shown to
be modified due to the Zeeman field. The pseudospin current reveals an anomaly since a quasiparticle part appears though it vanishes for particle currents. The density and pseudospin response functions to an external electric field are calculated. A frequency and wave-vector range is identified where the dielectric function changes sign and the repulsive Coulomb potential becomes effectively attractive allowing Cooper pairing.
Phys. Rev. B 94 (2016) 165415, Phys. Rev. B 92 (2015) 245425
errata: Phys. Rev. B93 (2016) 239904(E), Phys. Rev. B 92 (2015) 245426