Dynamical Systems, Topology and Conductivity in Normal Metals

Details Dynamical Systems, Topology and Conductivity in Normal Metals Dynamical Systems, Topology and Conductivity in Normal Metals

2003-04-22

arxiv.org/abs/cond-mat/0304471v2

Physics

Condensed Matter

Statistical Mechanics

Latex, 51 pages, 14 eps figures

Scientific paper

10.1023/B:JOSS.0000019835.01125.

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 ($B \leq 10^{3} Tl$). 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 $B \to \infty$ based on the topological classification of trajectories.

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