Journal of Statistical Physics, Vol. 115, Nos. 1/2, April 2004. p. 31-46.
We present here a complete description of all asymptotic regimes of conductivity in the so-called "Geometric Strong Magnetic Field limit" in the 3D single crystal normal metals with topologically complicated Fermi surfaces. In particular, new observable integer-valued characteristics of conductivity of topological origin were introduced by the present authors a few years ago; they are based on the notion of Topological Resonance which plays a basic role in the total picture. Our investigation is based on the study of dynamical systems on Fermi surfaces for the semi-classical motion of electrons in a magnetic field.