Oscillation phenomena and experimental determination of exact mathematical Stability Zones for magneto-conductivity in metals having complicated Fermi surfaces

Abstract

We consider the problem of exact experimental determination of the boundaries of Stability Zones for magneto-conductivity in normal metals in the space of directions of $\mathbf{B}$. As can be shown, this problem turns out to be nontrivial since the exact boundaries of Stability Zones are in fact unobservable in direct measurements of conductivity. However, this problem can be effectively solved with the aid of the study of oscillation phenomena (cyclotron resonance, quantum oscillations) in normal metals, which reveal a singular behavior on the mathematical boundary of a Stability Zone.

10 pages, 14 figures, revtex

References in corpus (1)

• On the analytical properties of the magneto-conductivity in the case of presence of stable open electron trajectories on a complex Fermi surface

Cited by in corpus (6)

• Magnetoresistance from Fermi Surface Topology
• The second boundaries of Stability Zones and the angular diagrams of conductivity for metals having complicated Fermi surfaces
• The complexity classes of angular diagrams of the metal conductivity in strong magnetic fields
• Reconstructions of the electron dynamics in magnetic field and the geometry of complex Fermi surfaces
• The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems
• Quasiperiodic functions on the plane and electron transport phenomena