The transport properties of disordered solids have been the subject of much work since at
least the 1950s, but with a new burst of activity during the 1980s which has survived up to …

We review the current (as of Fall 2016) status of the studies on the emergent integrability in
many‐body localized models. We start by explaining how the phenomenology of fully many …

We analyze the effect of quenched disorder on spin-1/2 quantum magnets in which
magnetic frustration promotes the formation of local singlets. Our results include a theory for …

Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …

Statistical analysis of the eigenfunctions of the Anderson tight-binding model with on-site
disorder on regular random graphs strongly suggests that the extended states are …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

The lectures examine several problems related to non-equilibrium fluctuations of interfaces
and flux lines. We start by introducing the phenomenology of depinning, with particular …

The quantum random energy model provides a mean-field description of the equilibrium
spin glass transition. We show that it further exhibits a many-body localization …

We derive a detailed analytical tight-binding (TB) model for a double helix emulating DNA
with one type of nucleotide pair and a single oriented π orbital per base. The TB model …