Prog. Theor. Phys. Supplement No.145 (2002) pp. 64-67
Magnetization Plateaus of Frustrated Kondo Necklace Model
— Competition between Quantum Fluctuation and Geometrical Frustration
Department of Physics, Science University of Tokyo, Tokyo 162-8601, Japan
(Received January 23, 2002)
The magnetization plateaus of frustrated Kondo necklace model have
been studied with use of the bosonization technique and level
spectroscopy method. It is shown that the model may show three
phases (dimer plateau, Néel plateau and Tomonaga-Luttinger
liquid phases) due to competitions among Ising anisotropy Δ,
the nearest and next nearest neighbor exchange interactions J1, J2.
It is shown from bosonization technique that quantum transition
between the dimer and Néel plateaus is Gaussian type, while
the transition from one of these plateau phases to Tomonaga-Luttinger
phase is Brezinskii-Kosterlitz-Thouless type.
The phase diagram is constructed on the Δ-J2/J1 plane
with use of level spectroscopy method, under the condition that
the system has a half of the saturation magnetization.
DOI : 10.1143/PTPS.145.64
M. Oshikawa, M. Yamanaka and I. Affleck, Phys. Rev. Lett. 78 (1997), 1984[APS].
K. Okunishi and N. Maeshima, Phys. Rev. B 64 (2001), 212406, [APS]and references therein.
- L. Néel, Ann. de Phys. 5 (1936), 232.
- K. Yoshida, Prog. Theor. Phys. 6 (1951), 691[PTP].
S. Hirata, cond-mat/9912066[e-print arXiv].
- S. Doniach, Physica B 91 (1977), 231.
S. Watanabe, J. Phys. Soc. Jpn. 69 (2000), 2947[JPSJ].
T. Yamamoto, M. Asano and C. Ishii, J. Phys. Soc. Jpn. 122 (2001), 345[JPSJ].
F. D. M. Haldane, Phys. Rev. B 25 (1982), 4925 [APS][
Errata; 26 (1983), 5257[APS]].
K. Kuboki and H. Fukuyama, J. Phys. Soc. Jpn. 56 (1987), 3126[JPSJ].
T. Tonegawa, T. Harada and M. Kaburagi, J. Phys. Soc. Jpn. 61 (1992), 4665[JPSJ].
K. Nomura and K. Okamoto, J. of Phys. A: Math. Gen. 27 (1994), 5773[IoP STACKS].
Citing Article(s) :
Journal of the Physical Society of Japan 72 (2003) pp. 3204-3211
Cusp Singularities in the Magnetization Curve of Frustrated Kondo Necklace Model
Takahiro Yamamoto, Rumi Manago, Yoshihiro Mori and Chikara Ishii