12 citations · 19 across the 7 of their papers we have counts for
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math-ph2019
On the finite-size Lyapunov exponent for the Schroedinger operator with skew-shift potential
Paul Michael Kielstra, Marius Lemm
It is known that a one-dimensional quantum particle is localized when subjected to an arbitrarily weak random potential. It is conjectured that localization also occurs for an arbi…
math-ph2019
A class of two-dimensional AKLT models with a gap
Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia +2
The AKLT spin chain is the prototypical example of a frustration-free quantum spin system with a spectral gap above its ground state. Affleck, Kennedy, Lieb, and Tasaki also conjec…
math-ph2018
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…