Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes

Antonello Scardicchio; Thimoth\'ee Thiery

arxiv: 1710.01234 · v1 · pith:3FB6VRK7new · submitted 2017-10-03 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech· cond-mat.str-el

Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes

Antonello Scardicchio , Thimoth\'ee Thiery This is my paper

classification ❄️ cond-mat.dis-nn cond-mat.stat-mechcond-mat.str-el

keywords lecturenotesandersonantonelloapproachescoherentcompileddecember

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These are lecture notes based on three lectures given by Antonello Scardicchio at the December 2016 Topical School on Many-Body-Localization organized by the Statistical Physics Group of the Institute Jean Lamour in Nancy. They were compiled and put in a coherent logical form by Thimoth\'ee Thiery.

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Effective delocalization in the one-dimensional Anderson model with stealthy disorder
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Stealthy disorder in the 1D Anderson model makes the localization length scale as a higher inverse power of disorder strength W, allowing it to exceed system size for sufficient stealthiness parameter χ.