HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (2002) > No.145
| Next Article >

Prog. Theor. Phys. Supplement No.145 (2002) pp. 119-124

[ Full Text PDF : FREE ACCESS (182K) ]

Cusp Singularity in the Magnetization Curve of 1D Quantum Spin Systems

Kouichi Okunishi*

Department of Physics, Niigata University, Niigata 950-2181, Japan

(Received January 10, 2002)

Abstract:

We give a short review of the cusp singularity in the magnetization curve of 1D quantum spin systems. We show that the cusp singularity appears for a certain class of nonintegrable frustrated spin systems, using the density matrix renormaziation group method. We also discuss the cusp appearance mechanism on the basis of the one particle dispersion curve of the elementary excitation, where the shape change of the dispersion curve induced by the frustrated interaction plays an essential role.


URL : http://ptp.ipap.jp/link?PTPS/145/119/
DOI : 10.1143/PTPS.145.119


*E-mail: okunishi@phys.sc.niigata-u.ac.jp

[ Full Text PDF : FREE ACCESS (182K) ] Citation:

References:

  1. J. B. Parkinson, J. of Phys.: Cond. Mat. 1 (1989), 6709[IoP STACKS].
  2. H. Kiwata, J. of Phys.: Cond. Mat. 7 (1995), 7991[IoP STACKS].
    A. Schmitt, K.-H. Mütter and M. Karbach, J. of Phys. A 29 (1996), 3951[IoP STACKS].
  3. H. Kiwata and Y. Akutsu, J. Phys. Soc. Jpn. 63 (1994), 4269[JPSJ].
  4. A. A. Zvyagin and P. Schlottmann, Phys. Rev. B 52 (1995), 6569[APS].
    M. Fujii, S. Fujimoto and N. Kawakami, J. Phys. Soc. Jpn. 65 (1996), 2381[JPSJ].
  5. A. A. Zvyagin, Phys. Rev. B 57 (1998), 1035[APS].
    H. Frahm and C. Rödenbeck, Eur. Phys. J. B 10 (1999), 409[CrossRef].
    N. Muramoto and M. Takahashi, J. Phys. Soc. Jpn. 68 (1999), 2098[JPSJ].
  6. K. Okunishi, Y. Hieida and Y. Akutsu, Phys. Rev. B 60 (1999), R6953[APS].
  7. N. Maeshima and K. Okunishi, Phys. Rev. B 62 (2000), 934[APS].
  8. K. Okunishi, Y. Hieida and Y. Akutsu, Phys. Rev. B 59(1999), 6806[APS].
    K. Okunishi, Phys. Rev. B 60 (1999), 4043[APS].
  9. S. R. White, Phys. Rev. Lett. 69 (1992), 2863[APS]; Phys. Rev. B 48 (1993), 10345[APS].
  10. T. Nishino and K. Okunishi, J. Phys. Soc. Jpn. 64 (1995), 4084[JPSJ].
    Y. Hieida, K. Okunishi and Y. Akutsu, Phys. Lett. A 233 (1997), 464[CrossRef].
  11. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki, Phys. Rev. Lett. 88 (1988), 3240[APS].
  12. C. K. Lai, J. Math. Phys. 15 (1974), 1675[AIP Scitation].
    B. Sutherland, Phys. Rev. B 12 (1975), 3795[APS].
  13. U. Schollwöck, Th. Jolicœre and T. Gael, Phys. Rev. B 53 (1996), 3304[APS].
  14. T. Sakai and M. Takahashi, Phys. Rev. B 43 (1991), 13383[APS].
  15. M. Matsuda and K. Katsumata, J. Magn. Magn. Matter. 140-144 (1995), 1671.
    H. Kikuchi, H. Nagasawa, Y. Ajiro, T. Asano and T. Goto, Physica B 284-288 (2000), 1631[CrossRef].
    Y. Hosokoshi, K. Katoh, K. Inoue and T. Goto, J. Phys. Soc. Jpn. 68 (1999), 2910[JPSJ].
    M. Hagiwara, Y. Narumi, K. Kindo, N. Maeshima, K. Okunishi, T. Sakai and M. Takahashi, Physica B 294-295 (2001), 83[CrossRef].
  16. F. D. M. Haldane, Phys. Rev. B 25 (1982), 4925[APS].
    K. Okamoto and K. Nomura, Phys. Lett. A 169 (1992), 433[CrossRef].
    K. Nomura and K. Okamoto, J. of Phys. A 27 (1994), 5773[IoP STACKS].
  17. C. K. Majumdar and D. K. Ghosh, J. Math. Phys. 10 (1969), 1399[AIP Scitation].
  18. T. Tonegawa and I. Harada, J. Phys. Soc. Jpn. 58 (1989), 2904[JPSJ].
  19. M. Schmidt, C. Gerhardt, K.-H. Mütter and M. Karbach, J. of Phys.: Cond. Mat. 8 (1996), 553[IoP STACKS].
  20. D. C. Cabra, A. Honecker and P. Pujol, Eur. Phys. J. B 13 (2000), 55.
  21. D. P. Arovas, A. Auerbach and F. D. M. Haldane, Phys. Rev. Lett. 60 (1988), 531[APS].
  22. G. Fáth and J. Sólyom, J. of Phys.: Cond. Mat. 5 (1993), 8983[IoP STACKS].
    R. Scharf and H.-J. Mikeska, J. of Phys.: Cond. Mat. 7 (1995), 5083[IoP STACKS].
  23. B. S. Shastry and B. Sutherland, Phys. Rev. Lett. 47 (1981), 964[APS].
  24. S. Brehmer, A. K. Kolezhuk, H.-J. Mikeska and U. Neugebauer, J. of Phys.: Cond. Mat. 10 (1998), 1103[IoP STACKS].
  25. T. D. Klüner and S. R. White, Phys. Rev. B 60 (1999), 335[APS].
  26. K. Okunishi, Y. Akutsu, N. Akutsu and T. Yamamoto, Phys. Rev. B 64 (2001), 104432[APS].
  27. O. Golinelli, Th. Jolicœur and E. Sørensen, Eur. J. Phys. B 11 (2000), 199[IoP STACKS].
  28. G. Fáth and A. Süto, Phys. Rev. B 62 (2000), 3778[APS].
  29. K. Okunishi and N. Maeshima, Phys. Rev. B 64 (2001), 212406[APS].

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.