Singular continuous spectrum for singular potential

Svetlana Jitomirskaya, Fan Yang

We prove that Schrödinger operators with meromorphic potentials $(H_{\alpha ,\theta }u{)}_n=u_{n+1}+u_{n-1}+\frac{g(\theta +n\alpha )}{f(\theta +n\alpha )}{u}_n$ have purely singular continuous spectrum on the set $\{E…