2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28438It is demonstrated that there is anti-ferromagnetic spin-spin interaction between nearest electrons in the 2D Wigner crystal. This is also valid for the Wigner liquid - the state with destroyed long-range order but preserved short-range one. We calculate the value of the anti-ferromagnetic interaction (both analytically and numerically) and discuss a possible magnetic state of the Wigner crystal. This state can be strongly influenced by the spin-Peierls mechanism.RevTeX, 9 pages, 4 figures, Submitted to Phys. Rev. BStrongly Correlated Electronstext