ADIABATIC CURVATURE DISTRIBUTION IN DISORDERED AND CHAOTIC STRUCTURES

The parametric response of energy levels to an external perturbation e ncodes information about spectral and transport properties. Topologica l characteristics of the energy levels and wave functions are reflecte d in properties of the ''adiabatic curvature,'' which relates to the B erry phase. We derive and discuss an exact analytical expression for t he universal contribution to the adiabatic curvature distribution desc ribing general chaotic quantum structures. An analytical and numerical investigation of nonuniversal corrections to the universal result is obtained for weakly disordered conductors. [S0163-1829(98)01315-0].