Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 17: Poster Session: Correlated Electrons 1

TT 17.41: Poster

Montag, 1. April 2019, 15:00–18:30, Poster D

Method for the DC-Conductance of one-dimensional correlated systems — •Jan-Moritz Bischoff and Eric Jeckelmann — Institut für Theoretische Physik, Hannover , Deutschland

We present a method for the linear DC-conductance of correlated one-dimensional lattice models[1]. Here specifically, we are interested in the conductance of Luttinger liquids. The method is based on the extrapolation of dynamical correlator functions in finite systems to the thermodynamic limit. We use a modified variant of the Density Matrix Renormalization Group(DMRG) algorithm to calculate the dynamical correlation function. We show that our method reproduces the predicted behaviour of the conductance in Luttinger liquids with impurities[1,3]. We investigate the complex behaviour of the spin and charge conductance of finite wires between leads and homogeneous electron-phonon systems.
J.-M. Bischoff and E. Jeckelmann, PRB 96, 195111 (2017)
C.L. Kane and M.P.A. Fisher, PRB 46, 15233 (1992)