Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
We construct a class of interacting-boson Hamiltonians whose exact ground-state wave functions are of Jastrow form. These Hamiltonians generally have both two- and three-body interactions; however, we show that the three-body interaction does not affect the long-wavelength physics. This enables us to deduce that (a) for Coulomb interacting bosons at T=0 the lower critical dimension is dc=2; (b) in two dimensions, the ground-state wave function has the form of the modulus of the Laughlin wave function and exhibits algebraic long-range order; and (c) for short-range repulsions, we obtain a simple expression for the sound velocity. We also show that the Laughlin wave function is the generic ground-state wave function for fermions in a magnetic field corresponding to a filling factor of =1/q. © 1991 The American Physical Society.
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
J.R. Thompson, Yang Ren Sun, et al.
Physica A: Statistical Mechanics and its Applications
R.M. Macfarlane, R.L. Cone
Physical Review B - CMMP
G. Will, N. Masciocchi, et al.
Zeitschrift fur Kristallographie - New Crystal Structures