Ground state of the twodimensional electron gas
Abstract
Variational and fixednode Green'sfunction Monte Carlo calculations have been performed to find the groundstate properties of the twodimensional electron gas in the density range 1<=r_{s}<=100. Our calculations predict a Wigner crystallization at the density r_{s}~=37+/5. The electron system is found to be in the normal (paramagnetic) fluid state below the transition density, but the fully polarized state is very close in energy. We have tabulated the values of pair distribution function g(r), the static structure factor S(k), and the momentum distribution n(k) at several densities of interest both in the normal and the polarized phases. An estimate of the spin susceptibility χ is also given.
 Publication:

Physical Review B
 Pub Date:
 March 1989
 DOI:
 10.1103/PhysRevB.39.5005
 Bibcode:
 1989PhRvB..39.5005T
 Keywords:

 71.45.Jp;
 05.30.Fk;
 Fermion systems and electron gas