Tunnelling between edge states of a 2D topological insulator and a Fermi liquid lead through a quantum dot
Department of Physcis, Hong Kong University of Science and Technology - Hong Kong, PRC
Accepted: 27 October 2011
In this paper we study a non-equilibrium resonant tunnelling problem where a non-interacting quantum dot is connected to two leads, one being the edge of an interacting 2D topological insulator (Luttinger liquid) and the other being a usual Fermi liquid. We show that the current passing through the system can be expressed in terms of a non-equilibrium local single-particle Green's function of the Luttinger liquid lead which can be analysed using standard bosonization-renormalization group (RG) technique. In particular, some exact results can be extracted in the small-bias limit with repulsive electron-electron interaction. A simple formula which captures the qualitative feature of the I-V relation over the whole temperature and voltage bias range is proposed and studied.
PACS: 72.10.Bg – General formulation of transport theory / 73.40.Gk – Tunneling / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
© EPLA, 2011