Hamiltonian studies of the two-dimensional axial next-nearest neighbour Ising (ANNNI) model. II. Finite-lattice mass gap calculations
- 1 October 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (10) , 3219-3232
- https://doi.org/10.1088/0305-4470/15/10/026
Abstract
The quantum Hamiltonian analogue of the two-dimensional ANNNI model is investigated by finite-lattice mass gap methods. By using lattice sizes capable of simulating systems of varying modulation, the authors are able to show the existence of a modulated phase between the paramagnetic and (2,2) antiphase regions. The modulation on the incommensurate to paramagnetic boundary is shown to vary and this variation is calculated as a function of the anisotropy. In addition, they find evidence for an XY-like transition from the incommensurate to the paramagnetic phase and perhaps a non-universal transition from the paramagnetic phase to the antiphase.Keywords
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