Berlin 2008 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 31: Transport: Nanoelectronics I - Quantum Dots, Wires, Point Contacts 2

TT 31.3: Invited Talk

Thursday, February 28, 2008, 12:15–12:45, EB 202

Electronic transport through nanostructures — •Peter Schmitteckert — Institut für Nanotechnologie, Forschungszentrum Karlsruhe, Karlsruhe Institute of Technology

The Density Matrix Renormalization Group (DMRG) method is now a well established method to study interacting, low-dimensional quantum systems. In this talk I review various approaches within the DMRG method to obtain the conductance of strongly interacting nanostructures attached to non-interacting leads. First I discuss the embedding method where the transmission amplitude is calculated from the ground state stiffness, which is then used to obtain the conductance. Next I review the Kubo approach within DMRG. By switching to a momentum space representation of the leads, this approach allows the study of systems with very small energy scales, including Kondo physics. These calculations can also be used to extract exact functionals to be used within the framework of Density Functional Theory (DFT). Then I present the approach of calculating the nonequilibrium differential conductance from real-time simulations within DMRG with special emphasis on the Interacting Resonant Level model. Finally I discuss the Lippmann-Schwinger approach to obtain multi-particle scattering states.