Classical Ring - exchange Processes on the Triangular Lattice ⋆
نویسنده
چکیده
The effects of the ring-exchange Hamiltonian H3 = J3 ∑ 〈ijk〉(Si · Sj)(Si · Sk) on the triangular lattice are studied using classical Monte Carlo simulations. Each spin Si is treated as a classical XY spin taking on Q equally spaced angles (Q-states clock model). For Q = 6, a first-order transition into a stripe-ordered phase preempts the macroscopic classical degeneracy. For Q > 6, a finite window of critical phase exists, intervening between the low-temperature stripe phase and the high-temperature paramagnetic phase. c © 2008 Elsevier B.V. All rights reserved. PACS: 75.10.Jm; 75.50.Ee
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