Quantum corrections to the Wigner crystal: A Hartree-Fock expansion

Fabio Bagarello, Bagarello, Morchio, Strocchi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The quantum corrections to the two-dimensional Wigner crystal, for filling ν≤1/3, are discussed by using a Hartree-Fock expansion based on wave functions which are (i) related to one another by magnetic translations, (ii) orthonormal, and (iii) strongly localized. Such wave functions are constructed in terms of Gaussians that are localized at the sites of a triangular (Wigner) lattice and have a small overlap c. The ground-state energy per particle is calculated by an expansion in ν and in δc1/4, which is rapidly convergent and stable under the thermodynamical limit. In particular, in this limit the cancellation of the infrared divergences occur order by order in the above expansion. The accurate control on the approximations allows a clear-cut comparison with the energy obtained by the Laughlin ansatz on the ground state and the numerical results confirm that the Wigner-crystal picture is energetically favored with respect to the Laughlin state for ν<1/9. © 1993 The American Physical Society.
Original languageEnglish
Pages (from-to)5306-5314
Number of pages9
JournalPHYSICAL REVIEW. B, CONDENSED MATTER
Volume48
Publication statusPublished - 1993

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Quantum corrections to the Wigner crystal: A Hartree-Fock expansion'. Together they form a unique fingerprint.

  • Cite this