New observable integer-valued numbers of the topological origin were revealed by the present authors studying the conductivity theory of single crystal 3D normal metals in the reasonably strong magnetic field (B≤103Tl). Our investigation is based on the study of dynamical systems on Fermi surfaces for the motion of semi-classical electron in magnetic field. All possible asymptotic regimes are also found for B→∞ based on the topological classification of trajectories.
@article{arxiv.cond-mat/0304471,
title = {Dynamical Systems, Topology and Conductivity in Normal Metals},
author = {A. Ya. Maltsev and S. P. Novikov},
journal= {arXiv preprint arXiv:cond-mat/0304471},
year = {2009}
}