Speaker
Anne Nielsen
Description
In recent years, there has been much interest in finding
fractional quantum Hall models in lattice systems, both
because it may lead to new ways to realize the fractional
quantum Hall effect, and because the lattice gives rise to new
effects and possibilities. Here we show that conformal field
theory is a power full tool to construct fractional quantum
Hall models in lattice systems. We build various fractional
quantum Hall states with and without anyons as infinite-
dimensional-matrix product states of conformal fields. We use
conformal field theory to derive few-body Hamiltonians for
which the states are exact ground states, and we analyze the
properties of the wavefunctions using analytical and
numerical tools. Finally, we discuss recent results on how one
can obtain models interpolating between lattice fractional
quantum Hall systems and continuum fractional quantum Hall
systems.
