Chandra, Samarth ; Ramola, Kabir ; Dhar, Deepak (2010) Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (3). 031113_1-031113_11. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v82/i3/e031113
Related URL: http://dx.doi.org/10.1103/PhysRevE.82.031113
Abstract
We analyze the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, the ground states form an (N+1) dimensional manifold. We show that the ensemble of ground states is equivalent to that of a solid-on-solid model with continuously variable heights and nearest neighbor interactions, at a finite temperature. For temperature T tending to zero, all ground states have equal weight, and there is no order by disorder in this model. We argue that the bond-energy bond-energy correlations at distance R decay as 1/R2 at zero temperature. This is verified by Monte Carlo simulations. We also discuss the relation to the quantum spin-S Kitaev model for large S, and obtain lower and upper bounds on the ground-state energy of the quantum model.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 82198 |
Deposited On: | 10 Feb 2012 04:18 |
Last Modified: | 10 Feb 2012 04:18 |
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