Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schrödinger operators
نویسنده
چکیده
Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic differential operators acting on vector bundles. This includes Schrödinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.
منابع مشابه
Measures of Fermi Surfaces and Absence of Singular Continuous Spectrum for Magnetic Schrr Odinger Operators
Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We deene several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic diierential operators acting on vector ...
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