Voltage profile and four-terminal resistance of an interacting quantum wire

We investigate the behavior of the four-terminal resistance R(4pt) in a quantum wire described by a Luttinger liquid in two relevant situations: (i) in the presence of a single impurity within the wire and (ii) under the effect of asymmetries introduced by disordered voltage probes. In the first case, interactions leave a signature in a power-law behavior of R(4pt) as a function of the voltage V and the temperature T. In the second case interactions tend to mask the effect of the asymmetries. In both scenarios the occurrence of negative values of R(4pt) is explained in simple terms.