3 citations · 4 across the 3 of their papers we have counts for
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Honeycomb structures in magnetic fields
Simon Becker, Rui Han, Svetlana Jitomirskaya +1
We consider reduced-dimensionality models of honeycomb lattices in magnetic fields and report results about the spectrum, the density of states, self-similarity, and metal/insulato…
Density of states and Delocalization for discrete magnetic random Schrödinger operators
Simon Becker, Rui Han
We study discrete magnetic random Schrödinger operators on the square and honeycomb lattice. For the non-random magnetic operator on the hexagonal lattice with any rational magneti…
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle
Rui Han, Marius Lemm, Wilhelm Schlag
We study the one-dimensional discrete Schrödinger operator with the skew-shift potential . This potential is long conjectured…
Large deviation estimates and Hölder regularity of the Lyapunov exponents for quasi-periodic Schrödinger cocycles
Rui Han, Shiwen Zhang
We consider one-dimensional quasi-periodic Schrödinger operators with analytic potentials. In the positive Lyapunov exponent regime, we prove large deviation estimates which lead t…
Generic continuous spectrum for multi-dimensional quasi periodic Schrödinger operators with rough potentials
Rui Han, Fan Yang
We study the multi-dimensional operator , where is the shift of the torus $\T^d$. When , we show the spectrum of is almos…