Excitations in one-dimensional S = 1/2 quantum antiferromagnets

Physical Review Letters

Volumn 90, Issue 22, 2003, Pages 2272041-2272044

  Schmidt, Kai P ^a   Uhrig, Götz S ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIMERIZATION; FERMIONS; FOURIER TRANSFORMS; GROUND STATE; HIGH TEMPERATURE SUPERCONDUCTORS; MAGNETIC ANISOTROPY; PHASE TRANSITIONS;

QUANTUM ANTIFERROMAGNETS;

ANTIFERROMAGNETIC MATERIALS;

EID: 0038115227     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. R. B. Laughlin, Phys. Rev. Lett. 79, 1726 (1997).
2. G. Aeppli et al., Phys. Status Solidi (b) 215, 519 (1999).
3. M. Grüninger et al., Phys. Rev. B 62, 12 422 (2000).
4. P. W. Anderson, Science 288, 480 (2000).
5. Ch.-M. Ho, V. N. Muthukumar, M. Ogata, and P. W. Anderson, Phys. Rev. Lett. 86, 1626 (2001).
6. Previously, we used the term "elementary triplets" to distinguish three-fold degenerate elementary excitations from magnons which are the elementary excitations of long-range ordered magnets. We henceforth use the term "triplon" instead to have a shorter expression distinguishing more clearly from composite triplets.
7. J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
8. L. D. Faddeev and L. A. Takhtajan, Phys. Lett. 85A, 375 (1981).
9. A. Luther and I. Peschel, Phys. Rev. B 12, 3908 (1975).
10. F. D. M. Haldane, Phys. Rev. Lett. 45, 1358 (1980).
11. A. O. Gogolin, A. A. Nersesyan, and A. M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University, Cambridge, 1998).
12. G. S. Uhrig and H. J. Schulz, Phys. Rev. B 54, R9624 (1996); 58, 2900 (1998).
13. G. S. Uhrig and H. J. Schulz, Phys. Rev. B 54, R9624 (1996); 58, 2900 (1998).
14. C. Knetter, K. P. Schmidt, M. Grüninger, and G. S. Uhrig, Phys. Rev. Lett. 87, 167204 (2001).
15. G. S. Uhrig and B. Normand, Phys. Rev. B 58, R14 705 (1998).
16. C. Knetter and G. S. Uhrig, Eur. Phys. J. B13, 209 (2000).
17. C. Knetter, A. Bühler, E. Müller-Hartmann, and G.S. Uhrig, Phys. Rev. Lett. 85, 3958 (2000).
18. S. Trebst et al., Phys. Rev. Lett. 85, 4373 (2000).
19. W. Zheng et al., Phys. Rev. B 63, 144410 (2001); 63, 144411 (2001).
20. W. Zheng et al., Phys. Rev. B 63, 144410 (2001); 63, 144411 (2001).
21. K. P. Schmidt, C. Knetter, and G. S. Uhrig, Europhys. Lett. 56, 877 (2001).
22. M. Windt et al., Phys. Rev. Lett. 87, 127002 (2001).
23. M. Grüninger et al., J. Phys. Chem. Solids 63, 2167 (2002).
24. C. Knetter, K. P. Schmidt, and G. S. Uhrig, Physica (Amsterdam) 312-313B, 527 (2002).
25. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
26. I. Affleck, in Fields, Strings and Critical Phenomena (Elsevier, North-Holland, Amsterdam, 1990), p. 566.
27. J. Voit, Rep. Prog. Phys. 58, 977 (1995).
28. M. Karbach et al., Phys. Rev. B 55, 12510 (1997).
29. A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974).
30. F. J. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994).
31. T. Barnes, J. Riera, and D. A. Tennant, Phys. Rev. B 59, 11384 (1999).
32. W. Zheng, C. J. Hamer, and R. R. P. Singh, cond-mat/0211346.