# The Magnetic Ordering of the 3d Wigner Crystal

@inproceedings{Cndido2004TheMO,
title={The Magnetic Ordering of the 3d Wigner Crystal},
author={L. C{\^a}ndido and B. Bernu and D. Ceperley},
year={2004}
}
• Published 2004
• Physics
• 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 $1 \times 10^{-8}$Ry 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… CONTINUE READING