Ground-state wave functions of general filling factors in the lowest Landau level

J. H. Han, Sung Ryul Yang

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We present a set of explicit trial wave functions for the filling factors v = n/(2n ± 1) and v = 1/2 in the symmetric gauge. We show that the zeros of the wave function, except those dictated by the Fermi statistics, are detached from the particles. The evolution of zeros as the filling factor is varied is examined. We show that the wave function at half filling exhibits a 2kF-like oscillation in its occupation number profile. The center-of-mass motion of the ground-state droplet is described in terms of the intra-Landau-level excitations of composite fermions.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume58
Issue number16
Publication statusPublished - 1998 Oct 15

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Wave functions
Ground state
wave functions
ground state
Fermions
occupation
Gages
center of mass
fermions
Statistics
statistics
oscillations
composite materials
Composite materials
profiles
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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