Magnetic order in a spin- 1 2 interpolating square-triangle Heisenberg antiferromagnet

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 17, 2009, Pages

  Bishop, R F ^a   Li, P H Y ^a   Farnell, D J J ^a   Campbell, C E ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650326694     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.174405     Document Type: Article

References (45)

1. S. Sachdev, in Low Dimensional Quantum Field Theories for Condensed Matter Physicists, edited by, Y. Lu, S. Lundqvist and, G. Morandi, (World Scientific, Singapore, 1995).
2. J. Richter, J. Schulenburg, and A. Honecker, in Quantum Magnetism, Lecture Notes in Physics 645, edited by, U. Schollwöck, J. Richter, D. J. J. Farnell and, R. F. Bishop, (Springer-Verlag, Berlin, 2004), p. 85.
3. G. Misguich and C. Lhuillier, in Frustrated Spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005), p. 229.
4. R. F. Bishop, P. H. Y. Li, R. Darradi, and J. Richter, J. Phys.: Condens. Matter 20, 255251 (2008). 10.1088/0953-8984/20/25/255251
5. R. F. Bishop, P. H. Y. Li, R. Darradi, J. Schulenburg, and J. Richter, Phys. Rev. B 78, 054412 (2008). 10.1103/PhysRevB.78.054412
6. C. J. Gazza and H. A. Ceccatto, J. Phys.: Condens. Matter 5, L135 (1993). 10.1088/0953-8984/5/10/003
7. A. E. Trumper, Phys. Rev. B 60, 2987 (1999). 10.1103/PhysRevB.60.2987
8. J. Merino, R. H. McKenzie, J. B. Marston, and C. H. Chung, J. Phys.: Condens. Matter 11, 2965 (1999). 10.1088/0953-8984/11/14/012
9. Zheng Weihong, R. H. McKenzie, and R. R. P. Singh, Phys. Rev. B 59, 14367 (1999). 10.1103/PhysRevB.59.14367
10. O. A. Starykh and L. Balents, Phys. Rev. Lett. 98, 077205 (2007). 10.1103/PhysRevLett.98.077205
11. T. Pardini and R. R. P. Singh, Phys. Rev. B 77, 214433 (2008). 10.1103/PhysRevB.77.214433
12. D. J. J. Farnell, R. F. Bishop, and K. A. Gernoth, Phys. Rev. B 63, 220402 (R) (2001). 10.1103/PhysRevB.63.220402
13. S. E. Krüger, J. Richter, J. Schulenburg, D. J. J. Farnell, and R. F. Bishop, Phys. Rev. B 61, 14607 (2000). 10.1103/PhysRevB.61.14607
14. D. Schmalfuß, R. Darradi, J. Richter, J. Schulenburg, and D. Ihle, Phys. Rev. Lett. 97, 157201 (2006). 10.1103/PhysRevLett.97.157201
15. H. Kino and H. Fukuyama, J. Phys. Soc. Jpn. 65, 2158 (1996) 10.1143/JPSJ.65.2158
16. R. H. McKenzie, Comments Condens. Matter Phys. 18, 309 (1998).
17. R. Coldea, D. A. Tennant, R. A. Cowley, D. F. McMorrow, B. Dorner, and Z. Tylczynski, Phys. Rev. Lett. 79, 151 (1997). 10.1103/PhysRevLett.79.151
18. H. Bethe, Z. Phys. 71, 205 (1931). 10.1007/BF01341708
19. J. Villain, J. Phys. (France) 38, 385 (1977) 10.1051/jphys: 01977003804038500
20. J. Villain, R. Bidaux, J.-P. Carton, and R. Conte, J. Phys. (France) 41, 1263 (1980) 10.1051/jphys:0198000410110126300
21. R. F. Bishop, Theor. Chim. Acta 80, 95 (1991). 10.1007/BF01119617
22. R. F. Bishop, in Microscopic Quantum Many-Body Theories and their Applications, Lecture Notes in Physics 510, edited by, J. Navarro, and, A. Polls (Springer-Verlag, Berlin, 1998), p. 1.
23. D. J. J. Farnell and R. F. Bishop, in Quantum Magnetism, Lecture Notes in Physics 645, edited by, U. Schollwöck, J. Richter, D. J. J. Farnell and, R. F. Bishop (Springer-Verlag, Berlin, 2004), p. 307.
24. C. Zeng, D. J. J. Farnell, and R. F. Bishop, J. Stat. Phys. 90, 327 (1998). 10.1023/A:1023220222019
25. R. Darradi, J. Richter, and D. J. J. Farnell, Phys. Rev. B 72, 104425 (2005). 10.1103/PhysRevB.72.104425
26. We use the program package "Crystallographic Coupled Cluster Method" (CCCM) of D. J. J. Farnell and J. Schulenburg, see http://www-e.uni-magdeburg.de/jschulen/ccm/index.html
27. D. J. J. Farnell and R. F. Bishop, Int. J. Mod. Phys. B 22, 3369 (2008). 10.1142/S021797920803999X
28. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II (McGraw-Hill, New York, 1953).
29. H. Kontani, M. E. Zhitomirsky, and K. Ueda, J. Phys. Soc. Jpn. 65, 1566 (1996). 10.1143/JPSJ.65.1566
30. A. W. Sandvik, Phys. Rev. B 56, 11678 (1997). 10.1103/PhysRevB.56.11678
31. L. Capriotti, A. E. Trumper, and S. Sorella, Phys. Rev. Lett. 82, 3899 (1999). 10.1103/PhysRevLett.82.3899
32. Zheng Weihong, J. Oitmaa, and C. J. Hamer, Phys. Rev. B 43, 8321 (1991). 10.1103/PhysRevB.43.8321
33. W. Zheng, J. O. Fjaerestad, R. R. P. Singh, R. H. McKenzie, and R. Coldea, Phys. Rev. B 74, 224420 (2006). 10.1103/PhysRevB.74.224420
34. W. Marshall, Proc. R. Soc. London, Ser. A 232, 48 (1955). 10.1098/rspa.1955.0200
35. L. Hulthén, Ark. Mat. Astron. Fys. A 26 (No. 11), 1 (1938)
36. R. Orbach, Phys. Rev. 112, 309 (1958) 10.1103/PhysRev.112.309
37. C. N. Yang and C. P. Yang, Phys. Rev. 150, 321 (1966) 10.1103/PhysRev.150.321
38. C. N. Yang and C. P. Yang, Phys. Rev. 150, 327 (1966). 10.1103/PhysRev.150.327
39. R. J. Baxter, J. Stat. Phys. 9, 145 (1973). 10.1007/BF01016845
40. J. Igarashi, J. Phys. Soc. Jpn. 62, 4449 (1993). 10.1143/JPSJ.62.4449
41. K. J. Runge, Phys. Rev. B 45, 7229 (1992) 10.1103/PhysRevB.45.7229
42. K. J. Runge, Phys. Rev. B 45, 12292 (1992). 10.1103/PhysRevB.45.12292
43. H. X. He, C. J. Hamer, and J. Oitmaa, J. Phys. A 23, 1775 (1990). 10.1088/0305-4470/23/10/018
44. M. P. Gelfand, R. R. P. Singh, and D. A. Huse, J. Stat. Phys. 59, 1093 (1990). 10.1007/BF01334744
45. M. P. Gelfand, Solid State Commun. 98, 11 (1996). 10.1016/0038-1098(96) 00051-8