The spin-1/2 Heisenberg chain: Thermodynamics, quantum criticality and spin-Peierls exponents

European Physical Journal B

Volumn 5, Issue 3, 1998, Pages 677-685

  Klumper A ^a  

^a NONE

Author keywords

72.15.Nj Collective modes (e.g., in one dimensional conductors); 75.10.Jm Quantized spin models; 75.40. s Critical point effects, specific heats, short range order

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CRYSTAL LATTICES; MAGNETIC FIELD EFFECTS; MAGNETIC SUSCEPTIBILITY; SPECIFIC HEAT OF SOLIDS;

HEISENBERG CHAIN; QUANTUM CRITICALITY; SPIN-PEIERLS EXPONENT;

QUANTUM THEORY;

EID: 0032304001     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050491     Document Type: Article

References (45)

1. H.A. Bethe, Z. Phys. 71, 205 (1931).
2. J.D. Johnson, S. Krinsky, B.M. McCoy, Phys. Rev. A 8, 2526 (1973).
3. L. Faddeev, L. Takhtajan, Phys. Lett. A 85, 375 (1981).
4. R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
5. A.A. Belavin, A.M. Polyakov, A.B. Zamolodchikov, Nucl. Phys. B 241, 333 (1984).
6. J.L. Cardy, Phase Transitions and Critical Phenomena, Vol. 11, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1988).
7. M. Takigawa, N. Motoyama, H. Eisaki, S. Uchida, Phys. Rev. Lett. 76, 4612 (1996).
8. T. Böske, K. Maiti, O. Knauff, K. Ruck, M.S. Golden, G. Krabbes, J. Fink, T. Osafune, N. Motoyama, H. Eisaki, S. Uchida, preprint, cond-mat/9709215 (1997).
9. M. Arai et al., Phys. Rev. Lett. 77, 3649 (1996); K. Fabricius, U. Loew, Phys. Rev. B 57, 13371 (1998).
10. M. Arai et al., Phys. Rev. Lett. 77, 3649 (1996); K. Fabricius, U. Loew, Phys. Rev. B 57, 13371 (1998).
11. S. Takagi, H. Deguchi, K. Takeda, M. Mito, M. Takahashi, J. Phys. Soc. Jpn 65, 1934 (1996).
12. S. Eggert, I. Affleck, M. Takahashi, Phys. Rev. Lett. 73, 332 (1994).
13. K. Okamoto, K. Nomura. Phys. Lett. A 169, 433 (1992).
14. K. Nomura, K. Okamoto, J. Phys. Soc. Jpn 62, 1123 (1993).
15. K. Nomura, Phys. Rev. B 48, 16814 (1993).
16. R.E. Peierls, Quantum Theory of Solids (Oxford University, London, 1955).
17. M.C. Cross, D.S. Fisher, Phys. Rev. B 19, 402 (1979).
18. M.C. Cross, Phys. Rev. B 20, 4606 (1979).
19. A. Klümper, Ann. Physik 1, 540 (1992); Z. Phys. B 91, 507 (1993).
20. A. Klümper, Ann. Physik 1, 540 (1992); Z. Phys. B 91, 507 (1993).
21. T. Koma, Prog. Theor. Phys. 78, 1213 (1987); 81, 783 (1989).
22. T. Koma, Prog. Theor. Phys. 78, 1213 (1987); 81, 783 (1989).
23. M. Takahashi, Phys. Rev. B 43, 5788 (1991); Phys. Rev. B 44, 12382 (1991).
24. M. Takahashi, Phys. Rev. B 43, 5788 (1991); Phys. Rev. B 44, 12382 (1991).
25. R.Z. Bariev, Theor. Math. Phys. 49, 1021 (1982).
26. T.T. Truong, K.D. Schotte, Nucl. Phys. B 220, 77 (1983).
27. J. Suzuki, Y. Akutsu, M. Wadati, J. Phys. Soc. Jpn 59, 2667 (1990).
28. A. Klümper, M.T. Batchelor, J. Phys. A 23, L189 (1990).
29. A. Klümper, M.T. Batchelor, P.A. Pearce, J. Phys. A 24, 3111 (1991).
30. C. Destri, H.J. de Vega, Phys. Rev. Lett. 69, 2313 (1992).
31. F. Woynarovich, H.-P. Eckle, J. Phys. A 20, L97 (1987).
32. I. Affleck, D. Gepner, H.J. Schulz, T. Ziman, J. Phys. A 22, 511 (1989).
33. M. Karbach, K.-H. Mütter, J. Phys. A 28, 4469 (1995).
34. K. Kawano, M. Takahashi, J. Phys. Soc. Jpn 64, 4331 (1995).
35. A. Klümper, M. Takahashi, to be published.
36. V.E. Korepin, N.M. Bogoliubov, A.C. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, 1993).
37. F.C. Alcaraz, M.N. Barber, M.T. Batchelor, Ann. Phys (N.Y.) 182, 280 (1988).
38. A. Fledderjohann, C. Gerhardt, K.-H. Mutter, A. Schmitt, M. Karbach, Phys. Rev. B 54, 7168 (1996).
39. V. Kiryukhin, B. Keimer, Phys. Rev. B 52, R704 (1996).
40. T. Lorenz, U. Ammerahl, T. Auweiler, B. Büchner, A. Revcolevschi, G. Dhalenne, Phys. Rev. B 55, 5914 (1997).
41. X. Liu, J. Wosnitza, H.V. Löhneysen, R.K. Kremer, Z. Phys. B 98, 163 (1995).
42. M. Weiden, J. Köhler, G. Sparn, M. Köppen, M. Lang, C. Geibel, F. Steglich, Z. Phys. B 98, 167 (1995).
43. S.M. Bhattacharjee, T. Nattermann, C. Ronnewinkel, cond-mat/9711094.
44. Y. Kuramoto, Y. Kato, J. Phys. Soc. Jpn 64, 4518 (1995).
45. S. Lukyanov, cond-mat/9712314.