Anharmonic ground state selection in the pyrochlore antiferromagnet

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 1, 2009, Pages

  Hizi, U ^a   Henley, C L ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949092530     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.014407     Document Type: Article

References (37)

1. R. Moessner and A. P. Ramirez, Phys. Today 59 (2), 24 (2006). 10.1063/1.2186278
2. Frustrated spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005).
3. Y. Motome and H. Tsunetsugu, Prog. Theor. Phys. Suppl. 160, 203 (2005). 10.1143/PTPS.160.203
4. O. Tchernyshyov, Phys. Rev. Lett. 93, 157206 (2004). 10.1103/PhysRevLett. 93.157206
5. V. N. Kotov, M. E. Zhitomirsky, M. Elhajal, and F. Mila, Phys. Rev. B 70, 214401 (2004). 10.1103/PhysRevB.70.214401 (Pubitemid 40239460)
6. J. Villain, R. Bidaux, J. P. Carton, and R. Conte, J. Phys. (Paris) 41, 1263 (1980).
7. C. L. Henley, Phys. Rev. Lett. 62, 2056 (1989). 10.1103/PhysRevLett.62. 2056
8. R. Moessner and J. T. Chalker, Phys. Rev. B 58, 12049 (1998). 10.1103/PhysRevB.58.12049
9. C. L. Henley, Phys. Rev. Lett. 96, 047201 (2006). 10.1103/PhysRevLett.96. 047201 (Pubitemid 43273465)
10. U. Hizi, P. Sharma, and C. L. Henley, Phys. Rev. Lett. 95, 167203 (2005). 10.1103/PhysRevLett.95.167203
11. U. Hizi and C. L. Henley, Phys. Rev. B 73, 054403 (2006). 10.1103/PhysRevB.73.054403 (Pubitemid 43279536)
12. O. Tchernyshyov, H. Yao, and R. Moessner, Phys. Rev. B 69, 212402 (2004). 10.1103/PhysRevB.69.212402
13. O. Tchernyshyov, O. A. Starykh, R. Moessner, and A. G. Abanov, Phys. Rev. B 68, 144422 (2003). 10.1103/PhysRevB.68.144422
14. U. Hizi and C. L. Henley, J. Phys. Condens. Matter 19, 145268 (2007). 10.1088/0953-8984/19/14/145268 (Pubitemid 46491452)
15. C. L. Henley, Can. J. Phys. 79, 1307 (2001). 10.1139/cjp-79-11-12-1307 (Pubitemid 33642021)
16. A. Chubukov, Phys. Rev. Lett. 69, 832 (1992). 10.1103/PhysRevLett.69.832
17. C. L. Henley and E. P. Chan, J. Magn. Magn. Mater. 140, 1693 (1995). 10.1016/0304-8853(94)00684-9
18. E. P. Chan, Ph.D. thesis, Cornell University (1994).
19. Note that the choice of a basis within the subspace of generic zero modes does depend on the particular collinear state, as pseudo-orthogonality condition (2.10) depends on η.
20. U. Hizi, Ph.D. thesis, Cornell University (2006).
21. Γij becomes symmetric in the large- S /small- ε limit we are interested in: see Eqs. 3.9 9.
22. A. B. Harris, C. Kallin, and A. J. Berlinsky, Phys. Rev. B 45, 2899 (1992). 10.1103/PhysRevB.45.2899
23. M. Kvale (unpublished).
24. To see this, set qx =π2+Δ qx, and the second term is ηi ηj [(1 Δ qx -2 Δ qx ) sgn (cos qy) - sin qy cos qy ], which, upon integration over qy vanishes for arbitrarily small Δ qx.
25. S. V. Isakov, K. Gregor, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 93, 167204 (2004). 10.1103/PhysRevLett.93.167204
26. C. L. Henley, Phys. Rev. B 71, 014424 (2005). 10.1103/PhysRevB.71.014424
27. In Ref. the polarization axis of checkerboard tetrahedra was denoted by a color Potts variable.
28. It should be noted, however, that when we impose a gaugelike transformation, e.g., along a horizontal line, we are forced to change the vertical boundary condition from periodic to antiperiodic or vice versa.
29. J.-S. Bernier, C.-H. Chung, Y. B. Kim, and S. Sachdev, Phys. Rev. B 69, 214427 (2004). 10.1103/PhysRevB.69.214427
30. D. L. Bergman, R. Shindou, G. A. Fiete, and L. Balents, Phys. Rev. Lett. 96, 097207 (2006). 10.1103/PhysRevLett.96.097207 (Pubitemid 43385023)
31. D. L. Bergman, R. Shindou, G. A. Fiete, and L. Balents, Phys. Rev. B 75, 094403 (2007). 10.1103/PhysRevB.75.094403
32. B. Douçot and P. Simon, J. Phys. A 31, 5855 (1998). 10.1088/0305-4470/31/28/005 (Pubitemid 128102778)
33. H. Ueda, H. A. Katori, H. Mitamura, T. Goto, and H. Takagi, Phys. Rev. Lett. 94, 047202 (2005). 10.1103/PhysRevLett.94.047202 (Pubitemid 40607246)
34. K. Penc, N. Shannon, and H. Shiba, Phys. Rev. Lett. 93, 197203 (2004). 10.1103/PhysRevLett.93.197203
35. M. E. Zhitomirsky, A. Honecker, and O. A. Petrenko, Phys. Rev. Lett. 85, 3269 (2000). 10.1103/PhysRevLett.85.3269 (Pubitemid 30959439)
36. S. R. Hassan and R. Moessner, Phys. Rev. B 73, 094443 (2006). 10.1103/PhysRevB.73.094443
37. These states were illustrated in Fig. 3 of Ref. with the stacking in the x direction, the B layers being those with all bonds AFM, or gray in that figure.