EXACT 2-POINT LENGTH CORRELATOR OF QUASI-ONE-DIMENSIONAL DISORDERED METALS

We present the exact calculation of the two-point length correlation f unction of quasi-one-dimensional phase-coherent disordered conductors in the metallic regime. Our results are valid far all universality cla sses, namely, orthogonal, unitary, and symplectic. We also calculate e xplicitly the Length autocorrelator of several observables related to quantum transport in these systems, and show that in all cases the asy mptotics exhibit a universal inverse square behavior. A formula for ca lculating the length dependence of the autocorrelator of arbitrary obs ervables is derived.