631 citations · 1.6k across the 16 of their papers we have counts for
16 papers
Many-body localization near the critical point
Alan Morningstar, David A. Huse, John Z. Imbrie
We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we us…
Localization and Eigenvalue Statistics for the Lattice Anderson model with Discrete Disorder
John Z. Imbrie
We prove localization and probabilistic bounds on the minimum level spacing for the Anderson tight-binding model on the lattice in any dimension, with single-site potential having…
Many-Body Localization: Stability and Instability
Wojciech De Roeck, John Z. Imbrie
Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a…
Review: Local Integrals of Motion in Many-Body Localized systems
J. Z. Imbrie, V. Ros, A. Scardicchio
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 man…
Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
John Z Imbrie
We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits…
Level Spacing for Non-Monotone Anderson Models
John Z. Imbrie, Rajinder Mavi
We prove localization and probabilistic bounds on the minimum level spacing for a random block Anderson model without monotonicity. Using a sequence of narrowing energy windows and…