Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Correlated Electrons: 1D Theory

TT 36.8: Talk

Tuesday, March 13, 2018, 11:30–11:45, HFT-FT 101

DC-Conductance of one-dimensional correlated systems derived by DMRG — •Jan-Moritz Bischoff and Eric Jeckelmann — Leibniz Universität Hannover, Hannover, Deutschland

We present an efficient method [1] for computing the zero-temperature linear conductance of correlated one-dimensional systems using the density-matrix renormalization group (DMRG). Like in [2], the model expresses the conductance as limits of dynamical correlation functions in finite systems within Linear Response Theory. These correlation functions can be calculated by dynamical DMRG. We tested the method first on non-interacting models for comparison with exact results and in order to determine an appropriate scaling of frequency, system size and spectral broadening. In addition, we extended the procedure to interacting systems using the one-dimensional spinless fermion model. The results were in good agreement with field-theoretical predictions (combined with the Bethe Ansatz solution) for the renormalization of conductance in a pure Luttinger liquid, as well as for the effects of an impurity in a Luttinger liquid [3]. We were also able to simulate the experimental more relevant setup of a wire that is coupled to leads and will present our first results.
J.-M. Bischoff, E. Jeckelmann, PRB 96, 195111 (2017)
D. Bohr, P. Schmitteckert, P.W. Wölfle, Europhys. Lett., 73, 246 (2006)
C.L. Kane, M.P.A. Fisher, PRB 46, 15233 (1992)