Numerical test of disk trial wave function for a half-filled Landau level

Sung Ryul Yang, M. C. Cha, J. H. Han

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The analyticity of the lowest Landau level wave functions and the relation between the filling factor and the total angular momentum severely limits the possible forms of trial wave functions of a disk of electrons subject to a strong perpendicular magnetic field. For the number N of electrons up to 12 we have tested these disk trial wave functions for the half-filled Landau level using Monte Carlo and exact diagonalization methods. The agreement between the results for the occupation numbers and ground state energies obtained from these two methods is excellent. We have also compared the profile of the occupation number near the edge with that obtained from a field-theoretical method. The results give qualitatively identical edge profiles. Experimental consequences are briefly discussed.

Original languageEnglish
Pages (from-to)8171-8179
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume62
Issue number12
DOIs
Publication statusPublished - 2000 Sep 15

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Wave functions
wave functions
occupation
Electrons
Angular momentum
profiles
Ground state
electrons
angular momentum
Magnetic fields
ground state
magnetic fields
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Numerical test of disk trial wave function for a half-filled Landau level. / Yang, Sung Ryul; Cha, M. C.; Han, J. H.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 62, No. 12, 15.09.2000, p. 8171-8179.

Research output: Contribution to journalArticle

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