Comparative study of theoretical methods for non-equilibrium quantum transport
Eckel, J; Heidrich-Meisner, F; Jakobs, S G; Thorwart, M; Pletyukhov, M; Egger, R; Eckel, J; Freiburg Institute for Advanced Studies (FRIAS), Albert-Ludwigs-Universität Freiburg, 79104 Freiburg, Germany;; Heidrich-Meisner, F; Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität München, D-80333 München, Germany; Jakobs, S G; Institut für Theoretische Physik A, RWTH Aachen, 52056 Aachen, Germany; JARA—Fundamentals of Future Information Technologies, RWTH Aachen, 52056 Aachen, Germany; Thorwart, M; Freiburg Institute for Advanced Studies (FRIAS), Albert-Ludwigs-Universität Freiburg, 79104 Freiburg, Germany; Pletyukhov, M; Institut für Theoretische Physik A, RWTH Aachen, 52056 Aachen, Germany; JARA—Fundamentals of Future Information Technologies, RWTH Aachen, 52056 Aachen, Germany; Egger, R; Institut für Theoretische Physik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany
Журнал:
New Journal of Physics
Дата:
2010-04-01
Аннотация:
We present a detailed comparison of three different methods designed to tackle non-equilibrium quantum transport, namely the functional renormalization group (fRG), the time-dependent density matrix renormalization group (tDMRG) and the iterative summation of real-time path integrals (ISPI). For the non-equilibrium single-impurity Anderson model (including a Zeeman term at the impurity site), we demonstrate that the three methods are in quantitative agreement over a wide range of parameters at the particle–hole symmetric point as well as in the mixed-valence regime. We further compare these techniques with two quantum Monte Carlo approaches and the time-dependent numerical renormalization group method.
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