Exchange frequencies in the 2d Wigner crystal

B. Bernu, P. Gianinetti, Ladir Cândido, D. M. Ceperley

Research output: Contribution to journalArticlepeer-review


Path Integral Monte Carlo is used to calculate exchange frequencies as electrons undergo ring exchanges in a "clean" 2d Wigner crystal as a function of density. Agreement with WKB calculations is found at very low density, but the results show an enhanced increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2d 3He. Using the resulting multi-spin exchange model we find the spin Hamiltonian for rs ≥ 175 ± 10 is a frustrated antiferromagnetic, with a spin liquid ground state. For lower density the ground state will be ferromagnetic. Some effects of a magnetic field are presented.

Original languageEnglish (US)
Pages (from-to)4965-4974
Number of pages10
JournalInternational Journal of Modern Physics B
Issue number28 I
StatePublished - Nov 10 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics


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