J. Phys. Soc. Jpn. 75 (2006) 083701 (4 pages) |Previous Article| |Next Article| |Table of Contents|
|Full Text PDF (325K)| |Buy This Article|
Letters
Spin Nematic Phase in S=1 Triangular Antiferromagnets
Hirokazu Tsunetsugu and
Mitsuhiro Arikawa
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502
(Received May 1, 2006; Accepted June 5, 2006; Published July 25, 2006)
Spin nematic order is investigated for an S=1 spin model on a triangular lattice with bilinear–biquadratic interactions. We particularly studied an antiferro nematic order phase with a three-sublattice structure, and magnetic properties are calculated at zero temperature by bosonization. Two types of bosonic excitations are found and we calculated dynamic and static spin correlations. One is a gapless excitation with linear energy dispersion around k ∼0, and this leads to a finite spin susceptibility at T=0 and would have a specific heat C(T) ∼T2 at low temperatures. These behaviors can explain many of the characteristic features of a recently discovered spin liquid state in the triangular magnet, NiGa2S4.
©2006 The Physical Society of Japan
KEYWORDS:
antiferromagnets, triangular lattice, spin nematics, quadrupolar ordering
URL:
http://jpsj.ipap.jp/link?JPSJ/75/083701/
DOI: 10.1143/JPSJ.75.083701
- P. W. Anderson: Mater. Res. Bull. 8 (1973) 153.
- P. Fazekas and P. W. Anderson: Philos. Mag. 30 (1974) 423.
- K. Ishida, M. Morishita, K. Yawata and H. Fukuyama:
Phys. Rev. Lett. 79 (1997) 3451[APS].
- Y. Shimizu, K. Miyagawa, K. Kanoda, M. Maesato and G. Saito:
Phys. Rev. Lett. 91 (2003) 107001[APS].
- S. Nakatsuji, Y. Nambu, H. Tonomura, O. Sakai, S. Jonas, C. Broholm, H. Tsunetsugu, Y. Qiu and Y. Maeno: Science 309 (2005) 1697[Science].
- H. H. Chen and P. M. Levy:
Phys. Rev. Lett. 27 (1971) 1383[APS].
- A. F. Andreev and I. A. Grishchuk: Sov. Phys. JETP 60 (1984) 267.
- P. Chandra and P. Coleman:
Phys. Rev. Lett. 66 (1991) 100[APS].
- V. M. Matveev: Sov. Phys. JETP 38 (1974) 813.
- One can also define similar nematic order parameters for spin-1/2 systems, if we compose effective spin S ≥1 using multiple spins with S=1/2.
- For example, an exact diagonalization study supports the presence of the magnetic long-range order for the S=1/2 case
[B. Bernu, P. Lecheminant, C. Lhuillier and L. Pierre: Phys. Rev. B 50 (1994) 10048[APS]], and the order is more stable for a larger spin S=1.
- G. Fáth and J. Sólyom:
Phys. Rev. B 51 (1995) 3620[APS].
- U. Schollwöck, Th. Jolicoeur and T. Garel:
Phys. Rev. B 53 (1996) 3304[APS].
- K. Harada and N. Kawashima:
Phys. Rev. B 65 (2002) 052403[APS].
- A. Läuchli, G. Schmid and S. Trebst:
cond-mat/0311082[e-print arXiv].
- The dimerized phase is discussed when J=0 and K<0 in M. N. Barber and M. T. Batchelor:
Phys. Rev. B 40 (1989) 4621[APS]; See also I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki:
Commun. Math. Phys. 115 (1988) 477[CrossRef].
- T. Momoi: private communication.
- H. Kawamura and S. Miyashita:
J. Phys. Soc. Jpn. 53 (1984) 4138[IPAP].
- N. D. Mermin and H. Wagner:
Phys. Rev. Lett. 17 (1966) 1133[APS].
- A. Läuchli, F. Mila and K. Penc:
cond-mat/0605234[e-print arXiv].