13 citations · 16 across the 3 of their papers we have counts for
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Spontaneous edge currents for the Dirac equation in two space dimensions
Michael J. Gruber, Marianne Leitner
Spontaneous edge currents are known to occur in systems of two space dimensions in a strong magnetic field. The latter creates chirality and determines the direction of the current…
Positive Measure Spectrum for Schroedinger Operators with Periodic Magnetic Fields
Michael J Gruber
We study Schroedinger operators with periodic magnetic field in Euclidean 2-space, in the case of irrational magnetic flux. Positive measure Cantor spectrum is generically expected…
Non-commutative Bloch theory
Michael J. Gruber
For differential operators which are invariant under the action of an abelian group Bloch theory is the preferred tool to analyze spectral properties. By shedding some new non-comm…
Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schroedinger operators
Michael J. Gruber
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 mea…