Fermi-liquid-like state in a half-filled Landau level

E. Rezayi; N. Read

doi:10.1103/PhysRevLett.72.900

Fermi-liquid-like state in a half-filled Landau level

E. Rezayi and N. Read

Phys. Rev. Lett. 72, 900 – Published 7 February 1994

Abstract

A system of electrons in a half-filled Landau level is investigated in spherical geometry. For systems of size from N=1 to 14 electrons with flux $N_{φ}$ =2(N-1) the angular momentum of the ground state is as predicted by Hund’s second rule for composite fermions of one electron and two vortices at zero magnetic field. Low lying excitations also fit this interpretation and trial wave functions give excellent overlaps. The two-particle correlation function shows a significant correlation hole at short distances and suggests an asymptotically oscillating form at long distances, as in a Fermi liquid.

Received 1 November 1993

DOI:https://doi.org/10.1103/PhysRevLett.72.900

Authors & Affiliations

E. Rezayi and N. Read

Department of Physics, California State University, Los Angeles, California 90032
Departments of Applied Physics and Physics, P.O. Box 208284, Yale University, New Haven, Connecticut 06520