In this area, our main work is on Quantum Antiferromagnets
using variational Monte Carlo,

and the Handscomb method, a less well-known quantum Monte Carlo method.

See: "The spin-1/2 Heisenberg Antiferromagnet on the Square Lattice
and its application to cuprous oxides"

E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).

__Critical Dynamics__

Equilibrium Critical Phenomena have been extensively studied by a number
of numerical methods.

Critical dynamics, dymanical critical exponents, and finite-size
scaling of transport properties

are by far less well studied. The main reason is that to simulate real
time dynamics requires

large computational resources and, thus, one was limited by small size
lattices.

Recent algorithmic advances and the fact that we can now built our own
dedicated

massively parallel cluster with high perfomance to cost ratio enable
us to perform

calculations to calculate critical dynamical properties.

__Quantum Hall Effect__

We have recently carried out Monte Carlo simulation studies of a model
that

we believe might describe the recently observed anisotropic response

in quantum hall systems.

See: E. Fradkin et al, Phys. Rev. Lett. **84,** 1982 (2000).