A. Wettstein et A. Groshev, GROUND-STATE ENERGY OF A 2-DIMENSIONAL WIGNER CRYSTAL OF FINITE-DENSITY AND THICKNESS, Physical review. B, Condensed matter, 50(3), 1994, pp. 1636-1644
A Wigner-crystal variational wave function accounting for both the Lan
dau-level mixing and finite thickness of a two-dimensional (2D) system
of particles is investigated. The energy is obtained analytically wit
hin an approximation scheme similar to that of Maki and Zotos and nume
rically using the variational Monte Carlo method. Comparison with the
energy of the translationally invariant Laughlin liquid at nu = 1 show
s that our wave function has lower energy for r(s) greater than or equ
al to 12 which is achieved easily in 2D hole systems.