Mainz 2017 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 42: Quantum Effects
Q 42.7: Talk
Thursday, March 9, 2017, 12:30–12:45, P 4
Localization and Multifractality in Disordered Long-Range Hopping Models — •Xiaolong Deng1, Vladimir Kravtsov2, Georgy Shlyapnikov3, and Luis Santos1 — 1ITP, Leibniz Universität Hannover, Germany — 2ICTP, Trieste, Italy — 3LPTMS, Orsay, France
We study disordered single-particle lattice model with long-range hops. We prove that all of eigenstates are localized in one- and two-dimensional isotropic systems. In three dimensional systems we show the mobility edge separating delocalized and localized states.