Dresden 2006 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 20: Transport: Nanoelectronics I - Quantum Dots, Wires, Point Contacts - Part 2

TT 20.7: Vortrag

Dienstag, 28. März 2006, 15:45–16:00, HSZ 105

Transport in disordered quantum wires: the global phase diagram — •Thomas Nattermann¹, Michael Fogler², and Sergey Malinin³ — ¹Institut für Theoretische Physik der Universität zu Köln — ²Department of Physics, UCSD, USA — ³Department of Chemistry, Wayne State Univ. Detroit, USA

We calculate the tunnel current in a Luttinger liquid with a finite density of strong impurities using using a combined RG and instanton approach. For very low temperatures T (or electric fields E) the (nonlinear) conductivity is of variable range hopping type as for weak pinning. Rare events - usually important in one dimensions - result in logarithmic corrections. For higher fields but low T the conductivity shows power law behavior corresponding to a crossover from multi- to single-impurity (Kane-Fisher) tunneling. For higher T and small fields rare events lead to a number of new results for the conductivity. The discussion of the the various cross-overs in the T-E plane as well as a function of the pinning strength allow a complete determination of the various relevant regimes, including previously found isolated results.