Comparative study of theoretical methods for nonequilibrium quantum transport

Details Comparative study of theoretical methods for nonequilibrium quantum transport Comparative study of theoretical methods for nonequilibrium quantum transport

2010-01-21

arxiv.org/abs/1001.3773v2

New. J. Phys. 12, 043042 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 7 figures; published version

Scientific paper

We present a detailed comparison of three different methods designed to tackle nonequilibrium 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 nonequilibrium 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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