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math.SP2012★ 6 cited
An explicit skew-shift Schrödinger operator with positive Lyapunov exponent at small coupling
Helge Krüger
I give an example of a skew-shift Schrödinger operator with positive Lyapunov exponent in the spectrum for all positive coupling constant with constant frequency. This is the first…
math.SP2010★ 5 cited
On the spectrum of skew-shift Schrödinger operators
Helge Krüger
I prove that the spectrum of a skew-shift Schrödinger operator contains larges interval in the semi-classical regime. In the semi-classical limit, these intervals approach the rang…