Long-range order in the classical kagome antiferromagnet: Effective Hamiltonian approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 18, 2009, Pages

  Henley, Christopher L ^a  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

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EID: 73649113491     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.180401     Document Type: Article

References (29)

1. A. P. Ramirez, Annu. Rev. Mater. Sci. 24, 453 (1994). 10.1146/annurev.ms.24.080194.002321
2. J. T. Chalker, P. C. W. Holdsworth, and E. F. Shender, Phys. Rev. Lett. 68, 855 (1992). 10.1103/PhysRevLett.68.855
3. O. A. Petrenko and D. McK Paul, Phys. Rev. B 63, 024409 (2000). 10.1103/PhysRevB.63.024409
4. J. M. Hopkinson, S. V. Isakov, H. Y. Kee, and Y. B. Kim, Phys. Rev. Lett. 99, 037201 (2007). 10.1103/PhysRevLett.99.037201 (Pubitemid 47120841)
5. C. L. Henley, J. Phys.: Conf. Ser. 145, 012022 (2009). 10.1088/1742-6596/145/1/012022
6. J. N. Reimers and A. J. Berlinsky, Phys. Rev. B 48, 9539 (1993). 10.1103/PhysRevB.48.9539
7. M. E. Zhitomirsky, Phys. Rev. B 78, 094423 (2008). 10.1103/PhysRevB.78. 094423
8. J. Robert, B. Canals, V. Simonet, and R. Ballou, Phys. Rev. Lett. 101, 117207 (2008). 10.1103/PhysRevLett.101.117207
9. D. A. Huse and A. D. Rutenberg, Phys. Rev. B 45, 7536 (1992). 10.1103/PhysRevB.45.7536
10. A correlation length due to thermally excited unbound vortexlike defects of the coloring also diverges exponentially owing to their core energy.
11. E. F. Shender and P. C. W. Holdsworth, J. Phys.: Condens. Matter 7, 3295 (1995). 10.1088/0953-8984/7/17/012
12. Any 3-coloring can be mapped into chiralities { ηi }, not necessarily vice versa; however, if the return map is possible it is unique [modulo a cyclic permuation of (ABC)].
13. R. Moessner and J. T. Chalker, Phys. Rev. B 58, 12049 (1998). 10.1103/PhysRevB.58.12049
14. Due to the constraint [Eq.], Q is not actually invariant under flips σi →- σi nor is Eq. really local.
15. The out-of-plane Goldstone mode-rigidly rotating the Heisenberg spins about any axis in the spin plane-induces a special soft mode that has zero restoring cost (to all orders). This indicates the soft-mode fluctuations cannot be perfectly described by the coloring-independent terms Q0. Since the Goldstone mode is the same physically as the gradual wandering of the spin plane as a function of r (which the coloring state floats on top of). I believe it is innocuous.
16. We could also expand Eq. to the next order in { ηα } and estimate the coefficients of four- η terms by the same analytic steps used in this Rapid Communication to get Jαβ.
17. My variables (hμ, μ) combined are just a linearized version of the "origami mapping," a three-component height mapping of continuous spins. [E. F. Shender, V. B. Cherepanov, P. C. W. Holdsworth, and A. J. Berlinsky, Phys. Rev. Lett. 70, 3812 (1993)]. 10.1103/PhysRevLett.70.3812
18. J. Kondev and C. L. Henley, Nucl. Phys. B 464, 540 (1996). 10.1016/0550-3213(96)00064-8 (Pubitemid 126165627)
19. B. Nienhuis, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, New York, 1987), Vol. 11.
20. D. R. Nelson, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, New York, 1982), Vol. 7.
21. J. Kondev and C. L. Henley, Phys. Rev. B 52, 6628 (1995). 10.1103/PhysRevB.52.6628
22. C. L. Henley, Phys. Rev. B 71, 014424 (2005). 10.1103/PhysRevB.71.014424
23. S. V. Isakov, K. Gregor, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 93, 167204 (2004). 10.1103/PhysRevLett.93.167204
24. C. L. Henley, Can. J. Phys. 79, 1307 (2001). 10.1139/cjp-79-11-12-1307 (Pubitemid 33642021)
25. C. L. Henley, Phys. Rev. Lett. 96, 047201 (2006) 10.1103/PhysRevLett.96. 047201
26. U. Hizi and C. L. Henley, Phys. Rev. B 73, 054403 (2006). 10.1103/PhysRevB.73.054403 (Pubitemid 43279536)
27. C. L. Henley, J. Appl. Phys. 61, 3962 (1987). 10.1063/1.338570
28. E. P. Chan, Ph. D. thesis, Cornell University, 1994
29. C. L. Henley and E. P. Chan, J. Magn. Magn. Mater. 140-144, 1693 (1995). 10.1016/0304-8853(94)00684-9