Generalized correlation functions for conductance fluctuations and the   mesoscopic spin Hall effect
  We study the spin-Hall conductance fluctuations in ballistic mesoscopic systems. We obtain universal expressions for the spin and charge current fluctuations, cast in terms of current-current autocorrelation functions. We show that the latter are conveniently parametrized as deformed Lorentzian shape lines, functions of an external applied magnetic field and the Fermi energy. We find that the charge current fluctuations show quite unique statistical features at the symplectic-unitary crossover regime. Our findings are based on an evaluation of the generalized transmission coefficients correlation functions within the stub model and are amenable to experimental test. 
J. G. G. S. Ramos, A. L. R. Barbosa, D. Bazeia, M. S. Hussein, and C.   H. Lewenkopf
cond-mat.mes-hall nlin.CD nucl-th