Phys. Rev. B 59, 6239-6249, (1999).
Surface spin-flop and discommensuration transitions in antiferromagnets
C. Micheletti, R. B. Griffiths and J. M. Yeomans
Link to online article.
Phase diagrams as a function of anisotropy D and magnetic field H are
obtained for discommensurations and surface states for an
antiferromagnet in which H is parallel to the easy axis, by modeling
it using the ground states of a one-dimensional chain of classical XY
spins. A surface spin-flop phase exists for all D, but the interval in
H over which it is stable becomes extremely small as D goes to
zero. First-order transitions, separating different surface states and
ending in critical points, exist inside the surface spin-flop
region. They accumulate at a field H' (depending on D) significantly
less than the value H_SF for a bulk spin-flop transition.
For H'< H < H_SF there is no surface spin-flop phase in the strict
sense; instead, the surface restructures by, in effect, producing a
discommensuration infinitely far away in the bulk. The results are
used to explain in detail the phase transitions occurring in systems
consisting of a finite, even number of layers.