A Fermi Fluid Description of the Half-Filled Landau Level

Abstract

We present a many-body approach to calculate the ground state properties of a system of electrons in a half-filled Landau level. Our starting point is a simplified version of the recently proposed trial wave function where one includes the antisymmetrization operator to the bosonic Laughlin state. Using the classical plasma analogy, we calculate the pair-correlation function, the static structure function and the ground state energy in the thermodynamic limit. These results are in good agreement with the expected behavior at $\nu =\frac{1}{2}$.

4 pages, REVTEX, and 4 .ps files

Cited by in corpus (3)

• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases
• Dynamical Correlations in a Half-Filled Landau Level