Dresden 2014 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 79: Transport: Topological insulators II (organized by TT)
HL 79.2: Talk
Wednesday, April 2, 2014, 16:45–17:00, HSZ 204
Conductivity of a generic helical liquid — •Nikolaos Kainaris1, Igor Gornyi1,2,4, Sam Carr3, and Alexander Mirlin1,2,5 — 1Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, Karlsruhe, Germany — 2Institut für Nanotechnologie, Karlsruher Institut für Technologie, Karlsruhe, Germany — 3School of physical sciences, University of Kent, Canterbury, UK — 4A.F. Ioffe Physico-Technical Institute, St. Petersburg, Russia — 5Petersburg Nuclear Physics Institute, St. Petersburg, Russia
We study the transport properties of a helical Luttinger liquid without Sz symmetry. We focus on the case of long edges of 2D topological insulators and calculate the conductivity in the presence of both interactions and disorder. In the regime where temperature is larger than the frequency of the external field we use a kinetic equation approach to calculate the AC and DC conductivity for weakly interacting fermions. The opposite regime of the AC conductivity is discussed via full bosonization that allows us to treat certain interactions exactly. We find the dependence of the conductivity on temperature, frequency and Fermi energy for different scattering mechanisms and discuss their relevance to transport.