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

HUGO A. AITA; LILIANA ARRACHEA; CARLOS NAÓN

JOURNAL OF PHYSICS CONDENSED MATTER

IOP PUBLISHING LTD

Año: 2011 vol. 23 p. 475601 - 475610

0953-8984

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.