T. Garel et al., SCATTERING PROPERTIES OF THE TRIANGULAR ISING ANTIFERROMAGNET - DISORDER AND LIFSHITZ LINES, Physical review. B, Condensed matter, 49(18), 1994, pp. 12791-12796
We study an anisotropic nearest-neighbor Ising antiferromagnet on the
triangular lattice, using Monte-Carlo simulations and random-phase (or
related) approximations. Our main interest concerns the high-temperat
ure magnetic scattering. Exact results are available at the disorder l
ine (Stephenson; Welberry and Galbraith). Of greater experimental sign
ificance is the Lifshitz line where (i) splitting of the scattering pe
aks occurs and (ii) dislocationlike defects appear in the (instantaneo
us) spin configurations. A good analytical fit of the Lifshitz line is
given by the Bethe-Peierls approximation. These results could be rele
vant to other systems with disorder lines, e.g., the ANNNI model and m
icroemulsions.