207 citations · 827 across the 40 of their papers we have counts for
42 papers
Many-body localization for the random XXZ spin chain in fixed energy intervals
Alexander Elgart, Abel Klein
It is shown that the infinite random Heisenberg XXZ spin- chain exhibits slow propagation of information (logarithmic light cone), a key signature of many-body localizatio…
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…
Slow propagation of information on the random XXZ quantum spin chain
Alexander Elgart, Abel Klein
The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is sh…
Localization in the random XXZ quantum spin chain
Alexander Elgart, Abel Klein
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin- chain in a random magnetic field. We prove that the system exhibits localization in any gi…
On Kitaev's determinant formula
Alexander Elgart, Martin Fraas
We establish a sufficient condition under which for a pair of bounded, invertible operators on a Hilbert space.
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…