Four-terminal resistance of an interacting quantum wire with weakly invasive contacts

Details Four-terminal resistance of an interacting quantum wire with weakly invasive contacts Four-terminal resistance of an interacting quantum wire with weakly invasive contacts

2011-02-07

arxiv.org/abs/1102.1371v3

J. Phys. Condens. Matter 23 (2011) 475601

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 7 figures

Scientific paper

10.1088/0953-8984/23/47/473201

We analyze the behavior of the four-terminal resistance, relative to the two-terminal resistance of an interacting quantum wire with an impurity, taking into account the invasiveness of the voltage probes. We consider a one-dimensional Luttinger model of spinless fermions for the wire. We treat the coupling to the voltage probes perturbatively, within the framework of non-equilibrium Green function techniques. Our investigation unveils the combined effect of impurities, electron-electron interactions and invasiveness of the probes on the possible occurrence of negative resistance.

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