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HL: Fachverband Halbleiterphysik

HL 79: Transport: Topological insulators II (organized by TT)

HL 79.2: Vortrag

Mittwoch, 2. April 2014, 16:45–17:00, HSZ 204

Conductivity of a generic helical liquid — •Nikolaos Kainaris¹, Igor Gornyi^1,2,4, Sam Carr³, and Alexander Mirlin^1,2,5 — 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 S_z 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.