Classical Heisenberg antiferromagnet on the pyrochlore lattice is studied using the nonequilibrium relaxation method. Effects of farther neighbor interactions are investigated. We found two ordered phases stabilized by the second- and the third-neighbor interactions.One is a commensurate phase where both k = 0 mode and k = π mode appear. It occurs when J3 is more ferromagnetic than J2. The other one is a double-incommensurate phase which is characterized by two incommensurate wave numbers. It occurs when J2 is more ferromagnetic than J3. No long range ordered state is realized when J2 = J3.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics