Dresden 2003 – scientific programme

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TT: Tiefe Temperaturen

TT 1: Mesoskopische Systeme I

TT 1.2: Talk

Monday, March 24, 2003, 10:00–10:15, HSZ03

Quantum dot contacted by Luttinger liquids: a solvable point — •Andrei Komnik¹ and Alexander O. Gogolin² — ¹Physikalisches Institut, Albert-Ludwigs-Universität Freiburg,D-79108 Freiburg, Germany — ²Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2BZ, United Kingdom

We investigate the transport properties of a single state quantum dot coupled to two one-dimensional electrodes in Luttinger liquid phase. Via mapping to a Kondo-type problem possessing a non-trivial Toulouse-type solvable point we succeeded to recast the Hamiltonian into a quadratic shape at some special interaction strength in the leads. At this point we obtain an analytic expression for the full non-linear current-voltage characteristics. We discuss the differential conductance and the width of the resonance peak as functions of bias, gate voltage, temperature and leads coupling asymmetry. We determine the exact scaling function for the linear conductance and present an extension of the model to dots with arbitrary constellation of electron levels.