Magnetic ordering of the three-dimensional Wigner crystal

2004/03/17 by Ladir Candido, Ladir Cândido, B. Bernu +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.70.094413

published as Phys. Rev. B 70, 094413 (2004)

arxiv created 2004/03/17 · openalex publication_date 2004/09/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using Path Integral Monte Carlo, we have calculated exchange frequencies as electrons undergo ring exchanges of 2, 3, and 4 electrons in a ``clean'' 3D Wigner crystal (bcc lattice) as a function of density. We find pair exchange dominates and estimate the critical temperature for the transition to antiferromagnetic ordering to be roughly 1\ifmmode×\else\texttimes\fi10^\ensuremath-8\phantom\rule0.3em0exRy at melting. In contrast to the situation in 2D, the 3D Wigner crystal is different from the solid bcc ³He in that the pair exchange dominates because of the softer interparticle potential. We discuss implications for the magnetic phase diagram of the electron gas.

Citations

• On the Interaction of Electrons in Metals
• Path integrals in the theory of condensed helium

Cited by

• Electronic and magnetic properties of small one-dimensional Wigner crystals from an ab initio approach

Related

• Melting curves and other phase transitions in a two dimensional electron assembly in a transverse magnetic field as a function of the Landau level filling factor
• Direct observation of a magnetic field-induced Wigner crystal
• Critical gate distance for Wigner crystallization in the two-dimensional electron gas
• Magnetism from multiparticle ring exchange in moiré Wigner crystals
• The Double Exchange Model at Low Densities