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UBC Theses and Dissertations

Asymmetric Fermi surfaces for periodic Schrodinger Operators Wang, Benjamin G.


We consider Schrödinger Operators with periodic electric and magnetic field with zero flux through a fundamental cell of the periodic lattice with dimension d. We show that, for a generic small electric/magnetic field and a generic small Fermi energy, the corresponding Fermi surface is at most dimension d-2, convex and not invariant under inversion at any point.

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