RANDOM-MATRIX STUDY OF MULTIPROBE MESOSCOPIC DEVICES .2. A 4-PROBE ONE-DIMENSIONAL SYSTEM

A random-matrix analysis is presented for a four-terminal device consi sting of one-dimensional mesoscopic wires. Interest is focused on the potential difference v measured between the two sides of a weaklY diso rdered conductor. Various interference effects are found in the statis tical distribution w(v) of v. Both the centroid and width Of w(v) osci llate as a function of the probe separation, the size of the oscillati ons depending on the coupling constant epsilon between the probes and the wire. For epsilon much less than 1, w(v) is wide enough to yield a nonzero probability to find a potential rise instead of a potential d rop.