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Physical Review Letters
We obtain the axial next-nearest-neighbor Ising model from a Heisenberg model with large single-ion anisotropy energy, D, as might be relevant for helical spin systems. We treat quantum fluctuations to lowest order in 1/S at zero temperature within an expansion in J/D, where J is an exchange energy. The transition from the state with periodicity p=4 to the uniform state (p=∞) occurs via a sequence of first order transitions in which p increases monotonically.
Harris, A., Micheletti, C., & Yeomans, J. M. (1995). Quantum Fluctuations in the Axial Next-Nearest-Neighbor Ising Model. Physical Review Letters, 74 (15), 3045-3048. http://dx.doi.org/10.1103/PhysRevLett.74.3045
Date Posted: 20 August 2015
This document has been peer reviewed.