Abstract
Niall Moran (LPA, ENS Paris)
Exact ground states of a staggered supersymmetric model for lattice fermions
We study a supersymmetric model for strongly interacting lattice fermions
in the presence of a staggering parameter. The staggering is introduced as
a tunable parameter in the manifestly supersymmetric Hamiltonian. We
obtain analytic expressions for the ground states in the limit of small
and large staggering for the model on the class of doubly decorated
lattices. On this type of lattice there are two ground states, each with a
different density. In one limit we find these ground states to be a simple
Wigner crystal and a resonating valence bond (RVB) type state. In the
other limit we find a quantum liquid state and a constrained RVB state. As
a special case, we investigate the quantum liquid state on the one
dimensional chain in detail. It is characterized by a massless kink that
separates two types of order.
This work is available as arxiv:1103.1368.