Quantum spin nanotubes-frustration, competing orders and criticalities

Journal of Physics Condensed Matter

Volumn 22, Issue 40, 2010, Pages

  Sakai, Tôru ^a,b,c   Sato, Masahiro ^d,h   Okamoto, Kiyomi ^e   Okunishi, Kouichi ^f   Itoi, Chigak ^g  

^a JAPAN ATOMIC ENERGY AGENCY   (Japan)

^b UNIVERSITY OF HYOGO   (Japan)

^c JST TRIP ^*  (Japan)

^d RIKEN   (Japan)

^e TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^f NIIGATA UNIVERSITY   (Japan)

^g NIHON UNIVERSITY   (Japan)

^h AOYAMA GAKUIN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPETING ORDERS; DENSITY MATRIX RENORMALIZATION GROUP; DIAGONALIZATIONS; EFFECTIVE THEORIES; HUBBARD HAMILTONIANS; LATTICE DISTORTIONS; MAGNETIZATION PLATEAUS; NEW MECHANISMS; NUMERICAL APPROACHES; QUANTUM PHASE TRANSITIONS; QUANTUM SPIN; SPIN GAP; SPIN LADDERS; SPIN LIQUIDS; SPIN NANOTUBES; SPIN TUBES; THEORETICAL STUDY; UNIT CELLS;

NANOTUBES; NEON; STATISTICAL MECHANICS;

PHASE TRANSITIONS;

NANOTUBE;

CHEMICAL STRUCTURE; QUANTUM THEORY; REVIEW;

MODELS, MOLECULAR; NANOTUBES; QUANTUM THEORY;

EID: 78249245143     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/22/40/403201     Document Type: Review

References (74)

1. Seeber G, Kögerler P, Kariuki B M and Cronin L 2004 Chem. Commun. 1580
2. Schnack J, Nojiri H, Kögerler P, Cooper G J T and Cronin L 2004 Phys. Rev. B 70 174420
3. Manaka H, Hirai Y, Hachigo Y, Mitsunaga M, Ito M and Terada N 2009 J. Phys. Soc. Japan 78 093701
4. Millet P, Henry J Y, Mila F and Galy J 1999 J. Solid State Chem. 147 676
5. Garlea V O, Zheludev A, Regnault L-P, Chung J-H, Qiu Y, Boehm M, Habicht K and Meissner M 2008 Phys. Rev. Lett. 100 037206
6. Garlea V O, Zheludev A, Habicht K, Meissner M, Grenier B, Regnault L-P and Ressouche E 2008 arXiv:0807.1571
7. Sakai T, Sato M, Okunishi K, Otsuka Y, Okamoto K and Itoi C 2008 Phys. Rev. B 78 184415
8. Okunishi K, Yoshikawa S, Sakai T and Miyashita S 2009 Int. J. Mod. Phys. C 20 1423
9. Sakai T, Okunishi K, Okamoto K, Sato M, Matsumoto M and Otsuka Y 2007 J. Magn. Magn. Mater. 310 e423
10. Schulz H J 1996 Correlated Fermions and Transport in Mesoscopic Systems ed T Martin, G Montambaux and J Tran Than Van (Gif-sur-Yvette: Editions Frontieres) arXiv:cond-mat/9605075
11. Kawano K and Takahashi M 1997 J. Phys. Soc. Japan 66 4001
12. Cabra D C, Honecker A and Pujol P 1998 Phys. Rev. B 58 6241
13. Luscher A, Noack R M, Misguich G, Kotov V N and Mila F 2004 Phys. Rev. B 70 060405(R)
14. Fouet J-B, Läuchli A, Pilgram A, Noak R M and Mila F 2006 Phys. Rev. B 73 014409
15. Okunishi K, Yoshikawa S, Sakai T and Miyashita S 2005 Prog. Theor. Phys. 159 (Suppl.) 297
16. Sakai T, Matsumoto M, Okunishi K, Okamoto K and Sato M 2005 Physica E 29 633
17. Nishimoto S and Arikawa M 2008 Phys. Rev. B 78 054421
18. Sato M 2007 Phys. Rev. B 75 174407
19. Sato M and Sakai T 2007 Phys. Rev. B 75 014411
20. Sato M 2005 Phys. Rev. B 72 104438
21. Sato M and Oshikawa M 2007 Phys. Rev. B 75 014404
22. Lieb E, Schultz T and Mattis D 1961 Ann. Phys. 16 407
23. Sakai T, Okunishi K, Okamoto K, Itoi C and Sato M 2010 J. Low Temp. Phys. 159 55
24. Matsumoto M, Sakai T, Sato M, Takayama H and Todo S 2005 Physica E 29 660
25. Charrier D, Caopponi S, Oshikawa M and Pujol P 2010 arXiv:cond-mat/1005. 0711
26. Affleck I 1986 Nucl. Phys. B 265 409
27. Ledermann U, Le Hur K and Rice T M 2000 Phys. Rev. B 62 16383
28. Affleck I and Haldane F D 1987 Phys. Rev. B 36 5291
29. Balents L and Fisher M P 1996 Phys. Rev. B 53 12133
30. Arrigoni E 1996 Phys. Lett. A 215 91
31. Lin H, Balents L and Fisher M P 1997 Phys. Rev. B 56 6569
32. Affleck I 1989 Fields, Strings and Critical Phenomena (1988 Les Houches Lecture Notes) ed E Brézin and J Zinn-Justin (Amsterdam: Elsevier) p 564
33. Gogolin A O, Nersesyan A A and Tsvelik A M 1998 Bosonization and Strongly Correlated Systems (Cambridge: Cambridge University Press)
34. Tsvelik A M 2003 Quantum Field Theory in Condensed Matter Physics 2nd edn (Cambridge: Cambridge University Press)
35. Totsuka K and Suzuki M 1996 J. Phys. A: Math. Gen. 29 3559
36. Berezinskii Z L 1970 Zh. Eksp. Teor. Fiz. 59 907 Berezinskii Z L 1971 Sov. Phys.-JETP 32 493 (Engl. Transl.)
37. Kosterlitz J M and Thouless D J 1973 J. Phys. C: Solid State Phys. 6 1181
38. Shelton D G, Nersesyan A A and Tsvelik A M 1996 Phys. Rev. B 53 8521
39. Okamoto K and Nomura K 1992 Phys. Lett. A 169 433
40. Cardy J L 1986 J. Phys. A: Math. Gen. 19 L1093
41. Cardy J L 1987 J. Phys. A: Math. Gen. 20 5039
42. Nomura K and Okamoto K K 1994 J. Phys. A: Math. Gen. 27 5773
43. Okamoto K 2002 Prog. Theor. Phys, 145 (Suppl.) 113
44. Nomura K and Kitazawa A 2002 Proc. French-Japanese Symp. on Quantum Properties of Low-Dimensional Antiferromagnets ed Y Ajiro and J-P Bouhcer (Fukuoka: Kyushuu University Press) arXiv:cond-mat/020172
45. Cardy J L 1984 J. Phys. A: Math. Gen. 17 L385
46. Blöte H W, Cardy J L and Nightingale M P 1986 Phys. Rev. Lett. 56 742
47. Affleck I 1986 Phys. Rev. Lett. 56 746
48. Itoi C and Kato M-H 1997 Phys. Rev. B 55 8295
49. Giamarchi T and Schulz H J 1989 Phys. Rev. B 39 4620
50. Ziman T and Schulz H J 1987 Phys. Rev. Lett. 59 140
51. Giamarchi T 2004 Quantum Physics in One Dimension (Oxford: Oxford University Press)
52. Fabrizio M, Gogolin A O and Nersesyan A A 2000 Nucl. Phys. B 580 647
53. Bajnok Z, Palla L, Takács G and Wágner F 2001 Nucl. Phys. B 601 503
54. Fáth G 2003 Phys. Rev. B 68 134445
55. Essler F H L and Affleck I 2004 J. Stat. Mech.: Theor. Exp. P12006
56. Sato M 2006 J. Stat. Mech.: Theor. Exp. P09001
57. Okamoto K, Sakai T, Sato M, Okunishi K and Itoi C, in preparation
58. Dmitriev D V, Krivnov V Ya and Ovchinnikov A A 2002 Phys. Rev. B 65 172409
59. Dmitriev D V, Krivnov V Ya, Ovchinnikov A A and Langari A 2002 Zh. Eksp. Teor. Fiz. 122 624 (in Russian)
60. Dmitriev D V, Krivnov V Ya, Ovchinnikov A A and Langari A 2002 J. Exp. Theor. Phys. 95 538 (Engl. Transl.)
61. Dmitriev D V and Krivnov V Ya 2004 Phys. Rev. B 70 144414
62. Capraro F and Gros C 2002 Eur. Phys. J. B 29 35
63. Okamoto K, Sato M, Okunishi K, Sakai T and Itoi C 2010 Physica E at press
64. Cross M and Fisher D S 1979 Phys. Rev. B 19 402
65. Nakano T and Fukuyama H 1980 J. Phys. Soc. Japan 49 1679
66. Okamoto K, Nishimori H and Taguchi Y 1986 J. Phys. Soc. Japan 55 1458
67. Black J L and Emery V J 1981 Phys. Rev. B 23 429
68. Yoshikawa S, Okunishi K, Senda M and Miyashita S 2004 J. Phys. Soc. Japan 73 1798
69. Ivanov N B, Schnack J, Schnalle R, Richter J, Kögerler P, Newton G N, Cronin G, Oshima Y and Nojiri H 2010 Phys. Rev. Lett. 105 037206
70. Honecker A, Mila F and Troyer M 2000 Eur. Phys. J. B 15 227
71. Rice M, Gopalan S and Sigrist M 1993 Europhys. Lett. 23 445
72. Uehara M, Nagata T, Akimitsu J, Takahashi H, Môri N and Kinoshita K 1996 J. Phys. Soc. Japan 65 2764
73. Kimura T, Kuroki K and Aoki H 1996 Phys. Rev. B 54 R9608
74. Kimura T, Kuroki K and Aoki H 1998 J. Phys. Soc. Japan 67 1377