Pairing with Correlated Wave Functions: BCS in CBF

Wang Hongwei, Feng Weiguo, MAO HUI-MING +1 more

Based on the Correlated-Basis-Functions (CBF) theory, we have obtained the many-body wave function for the quasi-two-dimensional electron system in Al x Ga 1-x As-GaAs heterojunction. The pair-correlation functions g(R) were calculated, and a new method for the calculation of correlation energy was also presented.

Hongwei Wang, Shao Jin-Shan, Wei-Guo Feng +1 more

The correlation factor u(R) m the quasi two dimensional system------the inversion layer is obtained with the effective interaction potential V_(eff) (R) and the collective oscillation behavior of the electron gas The pair correlation function the correlation energy and the many-body wave function have been calculated on the basis of the CBF theory.

Federico Becca, Sandro Sorella

Hock-Kee Sim, Chia-Wei Woo

Continuing the diagrammatic analysis of the method of correlated basis functions (CBF) for the weakly interacting Bose gas, as reported in the preceding paper, we take off from the unperturbed problem, which is solved essentially by a variational method using a Jastrow correlating factor as the trial wave function. We compute low-order corrections to the unperturbed energy, using a set of correlated basis functions. It is found that the simplest second-order correction in the CBF accounts for all discrepancies (between the Hugenholtz-Pines theory and the unperturbed CBF calculation) which arise in the fourth order of the interaction strength $O({\ensuremath{\lambda}}^{4})$. It is also demonstrated indirectly that the Jastrow function sums rings and ladders at least up to $O({\ensuremath{\lambda}}^{5})$.

Christian Hainzl, Eman Hamza, Robert Seiringer +1 more