96 citations · 715 across the 37 of their papers we have counts for
39 papers
Localization phenomena in the random XXZ spin chain
Alexander Elgart, Abel Klein
It is shown that the infinite random Heisenberg XXZ spin- chain exhibits localization phenomena, such as spectral, eigenstate, and weak dynamical localization, in an arbit…
Eigensystem multiscale analysis for the Anderson model via the Wegner estimate
Alexander Elgart, Abel Klein
We present a new approach to the eigensystem multiscale analysis (EMSA) for random Schrödinger operators that relies on the Wegner estimate. The EMSA treats all energies of the fin…
Manifestations of dynamical localization in the disordered XXZ spin chain
Alexander Elgart, Abel Klein, Günter Stolz
We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It h…
Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
Alexander Elgart, Abel Klein, Günter Stolz
We study many-body localization properties of the disordered XXZ spin chain in the Ising phase. Disorder is introduced via a random magnetic field in the -direction. We prove a…
Eigensystem multiscale analysis for Anderson localization in energy intervals
Alexander Elgart, Abel Klein
We present an eigensystem multiscale analysis for proving localization (pure point spectrum with exponentially decaying eigenfunctions, dynamical localization) for the Anderson mod…
Eigensystem Bootstrap Multiscale Analysis for the Anderson Model
Abel Klein, C. S. Sidney Tsang
We use a bootstrap argument to enhance the eigensystem multiscale analysis, introduced by Elgart and Klein for proving localization for the Anderson model at high disorder. The eig…