Dzyaloshinskii-Moriya Interaction and Magnetic Ordering in 1d and 2d at Nonzero T

The inclusion of a Dzyaloshinskii-Moriya short-range antisymmetric interaction in the Heisenberg Hamiltonian induces spontaneous magnetization, at nonzero temperatures, in one and two dimensions. It is shown that quantum fluctuations are reduced by the Dzyaloshinskii-Moriya interaction, but short-range correlations are increased, thereby allowing the existence of long-range magnetic order in these low-dimensional systems. © CopyrightEPLA, 2014.