244 citations · 716 across the 28 of their papers we have counts for
4 papers · 1 filter
Exact mobility edges for 1D quasiperiodic models
Yongjian Wang, Xu Xia, Jiangong You +2
Mobility edges (ME), i.e. critical energies which separate absolutely continuous spectrum and purely point spectrum, is an important issue in quantum physics. So far there are two…
Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials
Lingrui Ge, Jiangong You, Xin Zhao
We propose a new method to prove Anderson localization for quasiperiodic Schrödinger operators and apply it to the quasiperiodic model considered by Sinai and Fröhlich-Spencer-Witt…
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
Lingrui Ge, Yiqian Wang, Jiangong You +1
We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space with . In contrast, the Lyapunov exponent has been…
Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications
Hongyu Cheng, Lingrui Ge, Jiangong You +1
For quasiperiodic Schrödinger operators with one-frequency analytic potentials, from dynamical systems side, it has been proved that the corresponding quasiperiodic Schrödinger coc…