Dynamic properties of quantum spin chains: Simple route to complex behavior

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 14, 2007, Pages

  Verkholyak, Taras ^a   Derzhko, Oleg ^a   Krokhmalskii, Taras ^a   Stolze, Joachim ^b  

^a INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35348826668     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.144418     Document Type: Article

References (62)

1. M. Karbach, G. Müller, A. H. Bougourzi, A. Fledderjohann, and K.-H. Mütter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.12510 55, 12510 (1997);
2. M. Karbach and G. Müller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.14871 62, 14871 (2000);
3. M. Karbach, D. Biegel, and G. Müller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.054405 66, 054405 (2002).
4. J. Sato, M. Shiroishi, and M. Takahashi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.73.3008 73, 3008 (2004).
5. J.-S. Caux and J. M. Maillet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.077201 95, 077201 (2005);
6. J.-S. Caux, R. Hagemans, and J. M. Maillet, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2005, P09003;
7. R. Hagemans, J.-S. Caux, and J. M. Maillet, Proceedings of the "Tenth Training Course in The Physics of Correlated Electron and High- Tc Superconductors, " Salerno, Italy, October, 2005, AIP Conf. Proc. No. 846 (AIP, New York, 2006), pp. 245-254.
8. I. Affleck, in Fields, Strings and Critical Phenomena, edited by, E. Brézin, and, J. Zinn-Justin, (Elsevier, Amsterdam, 1989), pp. 563-640;
9. J. von Delft and H. Schoeller, Ann. Phys. ANPYA2 0003-3804 10.1002/(SICI)1521-3889(199811)7:4<225::AID-ANDP225>3.0.CO;2-L 7, 225 (1998);
10. S. Rao and D. Sen, Lecture Notes of the SERC School at HRI, Allahabad, India, March 2000 (unpublished).
11. M. Pustilnik, E. G. Mishchenko, L. I. Glazman, and A. V. Andreev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.126805 91, 126805 (2003);
12. M. Pustilnik, M. Khodas, A. Kamenev, and L. I. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.196405 96, 196405 (2006);
13. S. Teber, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.045309 76, 045309 (2007);
14. D. N. Aristov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.085327 76, 085327 (2007);
15. M. Khodas, M. Pustilnik, A. Kamenev, and L. I. Glazman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.155402 76, 155402 (2007).
16. R. G. Pereira, J. Sirker, J.-S. Caux, R. Hagemans, J. M. Maillet, S. R. White, and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 257202 96, 257202 (2006);
17. R. G. Pereira, J. Sirker, J.-S. Caux, R. Hagemans, J. M. Maillet, S. R. White, and I. Affleck, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2007, P08022.
18. J. Sirker and A. Klümper, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.241101 71, 241101 (R) (2005).
19. K. Fabricius, U. Löw, and J. Stolze, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.5833 55, 5833 (1997).
20. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 407 (1961);
21. S. Katsura, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1508 127, 1508 (1962);
22. S. Katsura, Phys. Rev. PHRVAO 0031-899X 129, 2835 (1963).
23. M. Arikawa, M. Karbach, G. Müller, and K. Wiele, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/34/002 39, 10623 (2006).
24. Th. Niemeijer, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(67) 90235-2 36, 377 (1967).
25. G. Müller, H. Thomas, H. Beck, and J. C. Bonner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.1429 24, 1429 (1981);
26. G. Müller, H. Thomas, M. W. Puga, and H. Beck, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/23/017 14, 3399 (1981);
27. J. H. Taylor and G. Müller, Physica A PHYADX 0378-4371 10.1016/0378-4371(85)90096-2 130, 1 (1985).
28. U. Brandt and K. Jacoby, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01320179 25, 181 (1976);
29. U. Brandt and K. Jacoby, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01312930 26, 245 (1977).
30. H. W. Capel and J. H. H. Perk, Physica A PHYADX 0378-4371 10.1016/0378-4371(77)90014-0 87, 211 (1977);
31. J. H. H. Perk and H. W. Capel, Physica A PHYADX 0378-4371 10.1016/0378-4371(80)90147-8 100, 1 (1980).
32. H. B. Cruz and L. L. Gonçalves, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/20/016 14, 2785 (1981).
33. O. Derzhko, T. Krokhmalskii, and J. Stolze, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/16/301 33, 3063 (2000).
34. M. B. Stone, W. Tian, M. D. Lumsden, G. E. Granroth, D. Mandrus, J.-H. Chung, N. Harrison, and S. E. Nagler, arXiv:0705.0523 (unpublished).
35. T. Masuda, A. Zheludev, K. Uchinokura, J.-H. Chung, and S. Park, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.077206 93, 077206 (2004);
36. T. Masuda, A. Zheludev, K. Uchinokura, J.-H. Chung, and S. Park, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.169908 96, 169908 (E) (2006);
37. A. Zheludev, T. Masuda, G. Dhalenne, A. Revcolevschi, C. Frost, and T. Perring, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.054409 75, 054409 (2007).
38. H. Manaka, I. Yamada, and H. Aruga Katori, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.104408 63, 104408 (2001);
39. H. Manaka, I. Yamada, H. Mitamura, and T. Goto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.064402 66, 064402 (2002).
40. K. Hida, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.145.320 145, 320 (2002).
41. T. Nakamura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.72.789 72, 789 (2003).
42. H. Ying and X. Wan, arXiv:cond-mat/0703772 (unpublished).
43. H. G. Vaidya and C. A. Tracy, Physica A PHYADX 0378-4371 10.1016/0378-4371(78)90019-5 92, 1 (1978).
44. J.-S. Caux, F. H. L. Essler, and U. Löw, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.134431 68, 134431 (2003).
45. O. Derzhko, T. Krokhmalskii, and J. Stolze, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/16/301 35, 3573 (2002).
46. O. Derzhko and T. Verkholyak, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.75.104711 75, 104711 (2006).
47. J. P. de Lima and L. L. Gonçalves, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/S0304-8853(99)00446-1 206, 135 (1999).
48. S. Sasaki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.168 53, 168 (1996).
49. O. Derzhko, J. Richter, and O. Zaburannyi, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00084-4 282, 495 (2000).
50. A. Furusaki, M. Sigrist, P. A. Lee, K. Tanaka, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2622 73, 2622 (1994).
51. K. Hamacher, J. Stolze, and W. Wenzel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.127202 89, 127202 (2002).
52. O. Derzhko and T. Krokhmalskii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.11659 56, 11659 (1997);
53. O. Derzhko and T. Krokhmalskii, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/(SICI)1521-3951(199807)208:1<221::AID-PSSB221>3.3.CO;2-5 208, 221 (1998).
54. X. Jia and S. Chakravarty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.172414 74, 172414 (2006).
55. O. Derzhko and J. Richter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.100 59, 100 (1999).
56. M. Oshikawa and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2883 79, 2883 (1997);
57. I. Affleck and M. Oshikawa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.1038 60, 1038 (1999).
58. O. Derzhko, J. Richter, and O. Zaburannyi, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/40/310 12, 8661 (2000).
59. D. N. Aristov and S. V. Maleyev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R751 62, R751 (2000).
60. M. Bocquet, F. H. L. Essler, A. M. Tsvelik, and A. O. Gogolin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.094425 64, 094425 (2001).
61. J. Florencio and F. C. Sa Barreto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.9555 60, 9555 (1999);
62. Maria Eugenia Silva Nunes and J. Florencio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.014406 68, 014406 (2003).