The four-spinon dynamical structure factor of the Heisenberg chain

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 12, 2006, Pages

  Caux, Jean Sébastien ^a   Hagemans, Rob ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Correlation functions; Integrable spin chains (vertex models)

Indexed keywords

EID: 42749103730     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/12/P12013     Document Type: Review

References (55)

1. Bethe H 1931 Z. Phys. 71 205
2. Heisenberg W 1928 Z. Phys. 49 619
3. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press) and references therein
4. Takahashi M 1999 Thermodynamics of One-Dimensional Solvable Models (Cambridge: Cambridge University Press) and references therein
5. Essler F H L and Konik R M 2005 Ian Kogan Memorial Volume vol 1 (Singapore: World Scientific) pp 684-830
6. Hulthén L 1938 Arkiv Mat. Astron. Fys. A11 26 1
7. des Cloiseaux J and Pearson J J 1962 Phys. Rev. 128 2131
8. Griffiths R B 1964 Phys. Rev. 133 A768
9. Yang C N and Yang C P 1966 Phys. Rev. 150 321
10. Yang C N and Yang C P 1966 Phys. Rev. 150 327
11. Yang C N and Yang C P 1966 Phys. Rev. 151 258
12. Gaudin M 1971 Phys. Rev. Lett. 26 1301
13. Takahashi M 1971 Prog. Theor. Phys. 46 401
14. Kenzelmann M, Coldea R, Tennant D A, Visser D, Hofmann M, Smeibidl P and Tylczynski Z 2002 Phys. Rev. B 65 144432
15. Stone M B, Reich D H, Broholm C, Lefmann K, Rischel C, Landee C P and Turnbull M M 2003 Phys. Rev. Lett. 91 037205
16. Zaliznyak I A, Woo H, Perring T G, Broholm C L, Frost C D and Takagi H 2004 Phys. Rev. Lett. 93 087202
17. Lake B, Tennant D A, Frost C D and Nagler S E 2005 Nat. Mater. 4 329
18. Faddeev L D and Takhtadjan L A 1981 Phys. Lett. A 85 375
19. Fowler M 1978 Phys. Rev. B 18 421
20. Anderson P W 1987 Science 235 1196
21. Müller G, Thomas H, Beck H and Bonner J C 1981 Phys. Rev. B 24 1429
22. Luther A and Peschel I 1974 Phys. Rev. B 9 2911
23. Luther A and Peschel I 1975 Phys. Rev. B 12 3908
24. Kadanoff L P and Brown A C 1979 Ann. Phys., NY 121 318
25. Affleck I 1986 Phys. Rev. Lett. 56 746
26. Blöte H W J, Cardy J L and Nightingale M P 1986 Phys. Rev. Lett. 56 742
27. Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Nucl. Phys. B 241 333
28. Di Francesco P, Mathieu P and Sénéchal D 1997 Conformal Field Theory (Berlin: Springer) and references therein
29. Affleck I 1989 Les Houches, Session XLIX, Fields, Strings and Critical Phenomena (New York: Elsevier)
30. Gogolin A O, Nersesyan A A and Tsvelik A M 1998 Bosonization and Strongly Correlated Systems (Cambridge: Cambridge University Press)
31. Giamarchi T 2004 Quantum Physics in One Dimension (Oxford: Oxford University Press)
32. Affleck I 1998 J. Phys. A: Math. Gen. 31 4573
33. Lukyanov S 1999 Phys. Rev. B 59 11163
34. Lukyanov S and Terras V 2003 Nucl. Phys. B 654 323
35. Caux J-S and Maillet J M 2005 Phys. Rev. Lett. 95 077201
36. Caux J-S, Hagemans R and Maillet J M 2005 J. Stat. Mech. P09003
37. Algebraic Bethe ansatz computation of universal structure factors See http://staff.science.uva.nl/∼jcaux/ABACUS.html
38. Kitanine N, Maillet J M and Terras V 1999 Nucl. Phys. B 554 647
39. Kitanine N, Maillet J M and Terras V 2000 Nucl. Phys. B 567 554
40. Davies O, Foda O, Jimbo M, Miwa T and Nakayashiki A 1993 Commun. Math. Phys. 151 89
41. Frenkel I B and Jing N H 1988 Proc. Nat. Acad. Sci. 85 9373
42. Abada A, Bougourzi A H and El Gradechi M A 1993 Mod. Phys. Lett. A 8 715
43. Bougourzi A H 1993 Nucl. Phys. B 404 457
44. Jimbo M and Miwa T 1995 Algebraic Analysis of Solvable Lattice Models (Providence, RI: AMS)
45. Bougourzi A H, Couture M and Kacir M 1996 Phys. Rev. B 54 R12669
46. Bougourzi A H, Karbach M and Müller G 1998 Phys. Rev. B 57 11429
47. Karbach M, Müller G, Bougourzi A H, Fledderjohann A and Mütter K-H 1997 Phys. Rev. B 55 12510
48. Weston R A and Bougourzi A H 1994 Preprint CRM-2198 unpublished
49. Bougourzi A H 1996 Mod. Phys. Lett. B 10 1237
50. Abada A, Bougourzi A H and Si-Lakhal B 1997 Nucl. Phys. B 497 733
51. Abada A, Bougourzi A H, Seba S and Si-Lakhal B 1998 Preprint cond-mat/9802271
52. Abada A and Si-Lakhal B 2004 J. Phys. A: Math. Gen. 37 497
53. Si-Lakhal B and Abada A 2005 Physica B 369 196
54. Pustilnik M, Khodas M, Kamenev A and Glazman L I 2006 Phys. Rev. Lett. 96 196405
55. Pereira R G, Sirker J, Caux J-S, Hagemans R, Maillet J M, White S R and Affleck I 2006 Phys. Rev. Lett. 96 257202