CONDUCTANCE FLUCTUATIONS AT THE INTEGER QUANTUM HALL PLATEAU TRANSITION

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mes oscopic regime, with phase coherence length comparable to the system s ize. We focus on a two-terminal conductance G for square samples, cons idering both periodic and open boundary conditions transverse to the c urrent. At the plateau transition, G is broadly distributed, with a di stribution function close to uniform on the interval between zero and one in units of e(2)/h. Our results are consistent with a recent exper iment by Cobden and Kogan on a mesoscopic quantum Hall effect sample.