Tunneling between edge states of a 2D topological insulator and a Fermi liquid lead through a quantum dot

Details Tunneling between edge states of a 2D topological insulator and a Fermi liquid lead through a quantum dot Tunneling between edge states of a 2D topological insulator and a Fermi liquid lead through a quantum dot

2010-12-29

arxiv.org/abs/1012.5867v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 3 figures

Scientific paper

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 2-D 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 whole temperature and voltage bias range is being proposed and studied.

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