J. Phys. Soc. Jpn. 75 (2006) 084711 (11 pages) |Previous Article| |Next Article| |Table of Contents|
|Full Text PDF (370K)| |Buy This Article|
Studies of Anomalous Hall Effect and Magnetic Structure of Nd2Mo2O7 –Test of Chirality Mechanism–
Yukio Yasui,
Taketomo Kageyama,
Taketo Moyoshi,
Minoru Soda,
Masatoshi Sato and
Kazuhisa Kakurai1
Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602
1Quantum Beam Science Directorate, Japan Atomic Energy Agency, Tokai-mura, Naka-gun, Ibaraki 319-1195
(Received March 2, 2006; Accepted May 31, 2006; Published August 10, 2006)
The unusual behavior of the anomalous Hall resistivity ρH found in the pyrochlore oxide Nd2Mo2O7 is re-analyzed. There are mainly two kinds of qualitatively interpretation of the observed behavior, one based on an idea that the ρH of this system is induced by the chirality ordering of the Mo spins and the other based on a phenomenological expression found by the present authors' group that the ρH of the system is described as the summation of the contributions from the Mo and Nd moments. Because even after the publication of our results based on the magnetic structure analyses under the external magnetic field H, that the chirality mechanism cannot be considered to be the primary origin of the unusual behavior, the non-applicability of the mechanism still seems not to be completely fixed, we have taken further data of neutron scattering and used them, in the present analyses, together with published specific heat data and various other ones, which were also used in the previous analyses. Introducing newly the Nd–Nd exchange interaction and using clusters of 16 Nd- and 16 Mo-spins with the periodic boundary condition, we have succeeded in choosing the proper parameters to simultaneously reproduce almost all accumulated experimental data. It enables us to calculate the local Mo-spin chirality or the fictitious magnetic flux, the statistically averaged value of which should be proportional to the anomalous Hall resistivity ρH in the chirality ordering mechanism. Comparing the results of the calculation with the observed ρH, we can immediately find that the mechanism does not have the primary relevance to the Hall effect. Now, there remains a problem what the origin of the unusual behavior of the ρH is in Nd2Mo2O7.
©2006 The Physical Society of Japan
URL:
http://jpsj.ipap.jp/link?JPSJ/75/084711/
DOI: 10.1143/JPSJ.75.084711
- M. Sato, X. Yan and J. E. Greedan: Z. Anorg. Allg. Chem. 540–541 (1986) 177.
- N. Ali, M. P. Hill, S. Labroo and J. E. Greedan:
J. Solid State Chem. 83 (1989) 178[CrossRef].
- T. Katsufuji, H. Y. Hwang and S.-W. Cheong:
Phys. Rev. Lett. 84 (2000) 1998[APS].
- Y. Yasui, Y. Kondo, M. Kanada, M. Ito, H. Harashina, M. Sato and K. Kakurai:
J. Phys. Soc. Jpn. 70 (2001) 284[JPSJ].
- Y. Yasui, Y. Kondo, M. Kanada, M. Ito, H. Harashina, S. Iikubo, K. Oda, T. Kageyama, K. Murata, S. Yoshii, M. Sato, H. Okumura and K. Kakurai: Proc. 1st Int. Symp. Advanced Science Research, Advances in Neutron Scattering Research, J. Phys. Soc. Jpn. 70 (2001) Suppl. A, p. 100.
- Y. Yasui, S. Iikubo, H. Harashina, T. Kageyama, M. Ito, M. Sato and K. Kakurai:
J. Phys. Soc. Jpn. 72 (2003) 865[JPSJ].
- S. Yoshii, S. Iikubo, T. Kageyama, K. Oda, Y. Kondo, K. Murata and M. Sato:
J. Phys. Soc. Jpn. 69 (2000) 3777[JPSJ].
- S. Iikubo, S. Yoshii, T. Kageyama, K. Oda, Y. Kondo, K. Murata and M. Sato:
J. Phys. Soc. Jpn. 70 (2001) 212[JPSJ].
- J.-P. Jan: Helv. Phys. Acta 25 (1952) 677.
- J. J. Rhyne:
Phys. Rev. 172 (1968) 523[APS].
- T. Kageyama, S. Iikubo, S. Yoshii, Y. Kondo, M. Sato and Y. Iye:
J. Phys. Soc. Jpn. 70 (2001) 3006[JPSJ].
- R. Kurplus and J. M. Luttinger:
Phys. Rev. 95 (1954) 1154[APS].
- G. Sundaram and Q. Niu:
Phys. Rev. B 59 (1999) 14915[APS].
- M. Onoda and N. Nagaosa:
J. Phys. Soc. Jpn. 71 (2002) 19[JPSJ].
- T. Jungwirth, Q. Niu and A. H. MacDonald:
Phys. Rev. Lett. 88 (2002) 207208[APS].
- J. Smit:
Physica 21 (1955) 877[CrossRef]; J. Smit:
Phys. Rev. B 8 (1973) 2349[APS].
- L. Berger:
Phys. Rev. B 2 (1970) 4559[APS].
- K. Ohgushi, S. Murakami and N. Nagaosa:
Phys. Rev. B 62 (2000) R6065[APS].
- Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa and Y. Tokura: Science 291 (2001) 2573[Science].
- Y. Taguchi, T. Sasaki, S. Awaji, Y. Iwasa, T. Tayama, T. Sakakibara, S. Iguchi, T. Ito and Y. Tokura:
Phys. Rev. Lett. 90 (2003) 257202[APS].
- S. Onoda and N. Nagaosa:
Phys. Rev. Lett. 90 (2003) 196602[APS].
- S. Yoshii, K. Murata and M. Sato:
J. Phys. Soc. Jpn. 71 (2002) 997[JPSJ].
- Y. Onose, Y. Taguchi, T. Ito and Y. Tokura:
Phys. Rev. B 70 (2004) 060401[APS].
- P. J. Brown: in International Tables for Crystallography, ed. A. J. C. Wilson (Kluwer, Dordrecht, 1992) Vol. C, Chap. 4.
- M. K. Wilkinson, E. O. Wollan, H. R. Child and J. W. Cable:
Phys. Rev. 121 (1961) 74[APS].
- H. W. J. Blöte, R. F. Wielinga and W. J. Huiskamp:
Physica 43 (1969) 549[CrossRef].
- A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddharthan and B. S. Shastry:
Nature 399 (1999) 333[CrossRef].
- M. Kanada, Y. Yasui, Y. Kondo, S. Iikubo, M. Ito, H. Harashina, M. Sato, H. Okumura, K. Kakurai and H. Kadowaki:
J. Phys. Soc. Jpn. 71 (2002) 313[JPSJ].
- S. Yoshii et al.: unpublished data.