Ground state of a two-dimensional charged-boson system.

Abstract

The ground state of a two-dimensional charged-boson system is investigated over the range of densities 1\ensuremath{\lesssim}${R}_{s}$\ensuremath{\lesssim}10 in the self-consistent-field approximation; ${R}_{s}$=(${a}_{0}^{2}$\ensuremath{\pi}\ensuremath{\rho}${)}^{\mathrm{\ensuremath{-}}1/2}$, where ${a}_{0}$ is the Bohr radius and \ensuremath{\rho} is the number density. Starting with numerical self-consistent calculations of the static structure factor, the elementary excitation, pair-correlation functions, pressure, and ground-state energy are evaluated. These results are compared with those of the two-dimensional and three-dimensional systems obtained from other methods. The ground-state energy is given as ${\mathit{E}}_{0=\mathrm{\ensuremath{-}}1.2918{\mathit{R}}_{\mathit{s}}}^{\mathrm{\ensuremath{-}}2/3}$+0.03, which improves that result from the ring-diagram approximation.