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Comparative study of theoretical methods for non-equilibrium quantum transport

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Published 28 April 2010 Published under licence by IOP Publishing Ltd
, , Citation J Eckel et al 2010 New J. Phys. 12 043042 DOI 10.1088/1367-2630/12/4/043042

1367-2630/12/4/043042

Abstract

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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