FINITE-SIZE SCALING STUDIES OF 2D ELECTRONS AT HALF-FILLING

Finite-size exact diagonalization of the Hamiltonian for four, eight a nd 16 electrons in a half-filled Landau level under periodic boundary conditions in a rectangular geometry was carried out. The magnitude of the peak value of the structure factor is found to increase with the system size to the power 0.36, consistent with a picture of a quasi-so lid discussed by Chui. The energy difference of the lowest-energy stat e of the two different particle-hole symmetry manifolds decreases as t he system size is increased, suggestive of broken particle-hole symmet ry.