PERSISTENT CURRENT FLUX CORRELATIONS CALCULATED BY QUANTUM CHAOLOGY

We consider classically chaotic systems with the topology of a ring threaded by quantum flux phi. Using semiclassical asymptotics, we calculate the flux-averaged autocorrelation function C(phi) of slopes of the energy levels (persistent currents), normalized by the mean level spacing, for flux values differing by phi. Our result furnishes the uniform approximation C(phi) approximate to - sin(2)(pi phi) - 1/w(*2)/[sin(2)(pi phi) + 1/w(*2)](2). Here w*, the RMS winding number of the classical periodic orbits whose period is connected by Heisenberg's relation to the mean level spacing, is a (large) semiclassical parameter, of order 1/(h) over bar((D-1)/2) for a system with D freedoms.