Correlation Energy of an Electron Gas in the Quantum Strong-Field Limit

Abstract

The ground state of an electron gas in an intense magnetic field is studied using a wave function of the product form ${\Psi }_0^B\Phi$. The correlation factor ${\Psi }_0^B$ is taken to be the ground-state solution of a charged Bose gas and $\Phi$ a determinant of single-particle Landau states. In the quantum strong-field limit so that only the lowest Landau state is populated, the correlation energy is computed using the cluster-expansion technique and a variational determination of the boson energy. Numerical results obtained are lower than those derived under the random-phase approximation.