Speaker
Mikael Fremling
Description
We develop a method to efficiently calculate trial wave
functions for quantum Hall systems which involve projection
onto the lowest Landau level. The method essentially replaces
lowest Landau level projection by projection onto the M
lowest eigenstates of a suitably chosen hamiltonian acting
within the lowest Landau level. The resulting "energy
projection" is a controlled approximation to the exact lowest
Landau level projection which improves with increasing M. It
allows us to study projected trial wave functions for system
sizes close to the maximal sizes that can be reached by exact
diagonalization and can be straightforwardly applied in any
geometry. As a first application and test case, we study a
class of trial wave functions first proposed by Girvin and Jach,
which are modifications of the Laughlin states involving a
single real parameter.
