Modified spin-wave theory with ordering vector optimization: Spatially anisotropic triangular lattice and J1 J2 J3 model with Heisenberg interactions

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  Hauke, Philipp ^a   Roscilde, Tommaso ^b   Murg, Valentin ^c   Cirac, J Ignacio ^d   Schmied, Roman ^e  

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^b UNIVERSITÉ DE LYON   (France)

^c UNIVERSITY OF VIENNA   (Austria)

^d MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^e UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC TRIANGULAR LATTICE; COLLINEAR STATE; EXACT DIAGONALIZATION; HEISENBERG; HEISENBERG INTERACTION; MAGNETIC ORDERS; MAGNETIC PHASIS; NONMAGNETIC GROUNDSTATES; NONMAGNETICS; PARAMETER REGIONS; QUANTUM ANTIFERROMAGNETS; QUANTUM EFFECTS; QUANTUM PHASE DIAGRAMS; QUANTUM SIMULATIONS; SPIN-LIQUID; SPIN-WAVE THEORY; SQUARE LATTICES; VECTOR OPTIMIZATIONS; VERSATILE TOOLS; WEAK COUPLINGS;

ANISOTROPY; ANTIFERROMAGNETIC MATERIALS; GROUND STATE; LIQUIDS; MAGNETIC COUPLINGS; OPTIMIZATION; PHASE DIAGRAMS; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; SPIN WAVES;

QUANTUM ENTANGLEMENT;

EID: 80051633320     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/7/075017     Document Type: Article

References (77)

1. Dyson F J, Lieb E H and Simon B 1978 J. Stat. Phys. 18 335
2. Kennedy T, Lieb E H and Shastry B S 1988 J. Stat. Phys. 53 1019
3. Manousakis E 1991 Rev. Mod. Phys. 63 1
4. Misguich G and Lhuillier C 2004 Frustrated Spin Systems ed H T Diep (Singapore: World Scientific) p 229
5. Anderson P 1973 Mater. Res. Bull. 8 153
6. Fazekas P and Anderson P W 1974 Phil. Mag. 30 423
7. Kastner M A, Birgeneau R J, Shirane G and Endoh Y 1998 Rev. Mod. Phys. 70 897
8. Lee P A, Nagaosa N and Wen X-G 2006 Rev. Mod. Phys. 78 17
9. de la Cruz C et al 2008 Nature 453 899
10. Coldea R, Tennant D A, Tsvelik A M and Tylczynski T 2001 Phys. Rev. Lett. 86 1335
11. Shimizu Y, Miyagawa K, Kanoda K, Maesato M and Saito G 2003 Phys. Rev. Lett. 91 107001
12. Yamashita S, Nakazawa Y, Oguni M, Oshima Y, Nojiri H, Shimizu Y, Miyagawa K and Kanoda K 2008 Nat. Phys. 4 459
13. Carretta P, Papinutto N, Melzi R, Millet P, Gonthier S, Mendels P and Wzietek P 2004 J. Phys.: Condens. Matter 16 S849
14. Nath R, Tsirlin A A, Rosner H and Geibel C 2008 Phys. Rev. B 78 064422
15. Weihong Z, McKenzie R H and Singh R R P 1999 Phys. Rev. B 59 14367
16. Yunoki S and Sorella S 2006 Phys. Rev. B 74 014408
17. Weng M Q, Sheng D N, Weng Z Y and Bursil R J 2006 Phys. Rev. B 74 012407
18. Fjaerestad J O, Zheng W, Singh R R P, McKenzie R H and Coldea R 2007 Phys. Rev. B 75 174447
19. Kohno M, Starykh O A and Balents L 2007 Nat. Phys. 3 790
20. Starykh O A and Balents L 2007 Phys. Rev. Lett. 98 077205
21. Heidarian D, Sorella S and Becca F 2009 Phys. Rev. B 80 012404
22. Singh R R P, Weihong Z, Hamer C J and Oitmaa J 1999 Phys. Rev. B 60 7278
23. Capriotti L, Becca F, Parola A and Sorella S 2001 Phys. Rev. Lett. 87 097201
24. Sushkov O P, Oitmaa J and Weihong Z 2001 Phys. Rev. B 63 104420
25. Sindzingre P 2004 Phys. Rev. B 69 094418
26. Sirker J, Weihong Z, Sushkov O P and Oitmaa J 2006 Phys. Rev. B 73 184420
27. Mambrini M, Läuchli A, Poilblanc D and Mila F 2006 Phys. Rev. B 74 144422
28. Darradi R, Derzhko O, Zinke R, Schulenburg J, Krueger S E and Richter J 2008 Phys. Rev. B 78 214415
29. Takahashi M 1989 Phys. Rev. B 40 2494
30. Xu J H and Ting C S 1991 Phys. Rev. B 43 6177
31. Hauke P, Roscilde T, Murg V, Cirac J I and Schmied R 2010 New J. Phys. 12 053036
32. Figueirido F, Karlhede A, Kivelson S, Sondhi S, Rocek M and Rokhsar D S 1989 Phys. Rev. B 41 4619
33. Read N and Sachdev S 1991 Phys. Rev. Lett. 66 1773
34. Ferrer J 1993 Phys. Rev. B 47 8769
35. Manuel L O and Ceccatto H A 1999 Phys. Rev. B 60 9489
36. Schmied R, Roscilde T, Murg V, Porras D and Cirac J I 2008 New J. Phys. 10 045017
37. Schulenburg J and Richter J 2010 Eur. Phys. J. B 73 117
38. Weber C, Läuchli A, Mila F and Giamarchi T 2006 Phys. Rev. B 73 014519
39. Singh R R P 1989 Phys. Rev. B 39 9760
40. Capriotti L, Trumper A E and Sorella S 1999 Phys. Rev. Lett. 82 3899
41. White S R and Chernyshev A L 2007 Phys. Rev. Lett. 99 127004
42. Sandvik A 1997 Phys. Rev. B 56 11678
43. Zheng W, Fjaerestad J O, Singh R R P, McKenzie R H and Coldea R 2006 Phys. Rev. B 74 224420
44. Chubukov A V, Sachdev S and Senthil T 1994 J. Phys.: Condens. Matter 6 8891
45. Chernyshev A L and Zhitomirsky M E 2009 Phys. Rev. B 79 144416
46. Gazza C J and Ceccatto H A 1993 J. Phys.: Condens. Matter 5 L135
47. Trumper A E 1999 Phys. Rev. B 60 2987
48. Sandvik A W and Evertz H G 2010 Phys. Rev. B 82 024407
49. Lecheminant P, Bernu B, Lhuillier C and Pierre L 1995 Phys. Rev. B 52 9162
50. Shastry B S and Sutherland B 1990 Phys. Rev. Lett. 65 243
51. Kawamura H 2002 arXiv:cond-mat/0202109v1
52. Richter J, Gros C and Weber W 1991 Phys. Rev. B 44 906
53. Gelfand M P, Singh R R and Huse D A 1989 Phys. Rev. B 40 10801
54. Moreo A, Dagotto E, Jolicoeur T and Riera J 1990 Phys. Rev. B 42 6283
55. Chubukov A 1991 Phys. Rev. B 44 392
56. Leung P W and Lam N 1996 Phys. Rev. B 53 2213
57. Chandra P and Doucot B 1988 Phys. Rev. B 38 9335
58. Locher P 1990 Phys. Rev. B 41 2537
59. Zhong Q F and Sorella S 1993 Europhys. Lett. 21 629
60. Capriotti L, Scalapino D J and White S R 2004 Phys. Rev. Lett. 93 177004
61. Capriotti L and Sachdev S 2004 Phys. Rev. Lett. 93 257206
62. Murg V, Verstraete F and Cirac J I 2009 Phys. Rev. B 79 195119
63. Nishimori H and Saika Y 1990 J. Phys. Soc. Japan 59 4454
64. Barabanov A F and Starykh O A 1990 JETP Lett. 51 311
65. Xu J H and Ting C S 1990 Phys. Rev. B 42 6861
66. Ivanov N B and Ivanov P C 1992 Phys. Rev. B 46 8206
67. Gochev I G 1994 Phys. Rev. B 49 9594
68. Dotsenko A V and Sushkov O P 1994 Phys. Rev. B 50 13821
69. Einarsson T and Schulz H J 1995 Phys. Rev. B 51 6151
70. Schulz H, Ziman T and Poilblanc D 1996 J. Physique I 6 675
71. Trumper A E, Manuel L O, Gazza C J and Ceccatto H A 1997 Phys. Rev. Lett. 78 2216
72. Manuel L O, Trumper A E and Ceccatto H A 1998 Phys. Rev. B 57 8348
73. Bonča J, Rodriguez J P, Ferrer J and Bedell K S 1994 Phys. Rev. B 50 3415
74. Dyson F J 1956 Phys. Rev. 102 1217
75. Maleev S V 1957 Zh. Eksp. Teor. Fiz. 30 1010
76. see also Maleev S V 1958 Sov. Phys.-JETP 6 776
77. Fetter A and Walecka J 1971 Quantum Theory of Many-Particle Systems (New York: McGraw-Hill)