Eb. Kolomeisky et Jp. Straley, PHASE-TRANSITION IN THE PEIERLS MODEL AND THE POSSIBILITY OF ONE-DIMENSIONAL MELTING, Physical review letters, 76(16), 1996, pp. 2930-2933
In 1940 Peierls proposed a model for dislocations arising as a comprom
ise between long-range elastic forces and lattice periodicity. It impl
ies that dislocation pairs interact with a logarithmic potential. We s
how that the corresponding one-dimensional statistical mechanics model
exhibits a physically realizable dislocation-mediated melting transit
ion of infinite order.