Lecturer: Dr. Yevgeny Bar Lev
Affiliation: Columbia University
Abstract:
Many-body localization is a peculiar dynamical
transition between ergodic and non-ergodic
phases, which may occur at any temperature
and in any dimension. Current theory suggest
that for temperatures below the transition the
system is non-ergodic and localized, such that
conductivity vanishes at the thermodynamic
limit, while for temperatures above the
transition the system is thermal and
conductive. In this talk I will present a study of
ergodicity and dynamical properties of the
many-body localization transition using a
combination of non-equilibrium diagrammatic
techniques and numerically exact methods.
I will present the dynamical phase-diagram at
infinite temperature, and provide evidence of
existence of a novel phase, which is ergodic yet
has a vanishing DC conductivity.