Dresden 2006 – scientific programme
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TT: Tiefe Temperaturen
TT 20: Transport: Nanoelectronics I - Quantum Dots, Wires, Point Contacts - Part 2
TT 20.4: Talk
Tuesday, March 28, 2006, 15:00–15:15, HSZ 105
Linear response conductance of strongly interacting nanostructures using DMRG — •Dan Bohr1,2, Peter Schmitteckert2, and Peter Wölfle2 — 1MIC, Department of Micro and Nanotechnology, Technical University of Denmark — 2TKM, Institut für Theorie der Kondensierten Materie, Universität Karlsruhe
In this contribution we present a novel approach for the calculation of transport properties of strongly correlated systems: a direct evaluation of the Kubo expression for the linear conductance by using the states and operator expectation values computed with the Density Matrix Renormalization Group (DMRG). Two different correlation functions are used to evaluate the conductance. The electrons are treated as one-dimensional spinless fermions, and the interactions are confined to a finite line segment which couples to two tight-binding leads. The developed method is benchmarked against the non-interacting limit, where the conductance can be calculated either by Green’s functions or by exact diagonalization. In the interacting case we present DMRG data for an extended nanostructure either in the Luttinger liquid regime or in the charge density wave regime. Finally we analyze the strongly interacting conductance using a simple model of hard-core particles on a reduced size lattice and emphasize the difference compared to an effective charging model.