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

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Published 30 November 2011 Europhysics Letters Association
, , Citation C. Y. Seng and T. K. Ng 2011 EPL 96 67002 DOI 10.1209/0295-5075/96/67002

0295-5075/96/6/67002

Abstract

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.

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10.1209/0295-5075/96/67002