Theory of antiferro-quadrupolar ordering in TmTe

Journal of the Physical Society of Japan

Volumn 68, Issue 6, 1999, Pages 2105-2117

  Shiina, Ryousuke ^a,b   Shiba, Hiroyuki ^b   Sakai, Osamu ^c  

^a MAX PLANCK INSTITUTE FOR CHEMICAL PHYSICS OF SOLIDS   (Germany)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^c TOHOKU UNIVERSITY   (Japan)

Author keywords

Field induced antiferromagnetism; Quadrupolar ordering; TmTe

Indexed keywords

EID: 0033468905     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.68.2105     Document Type: Article

References (22)

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10. R. Suryanarayanan, G. Güntherodt, J. L. Freeouf and F. Holtzberg: Phys. Rev. B 12 (1975) 4215.
11. In general higher-order terms of the crystal field are present in f-electron systems. However we can neglect this effect when the crystal field is weak compared with other energy scales.
12. x)/{2J(J + 1)}. In general one can relate the classical multipoles to the quantum ones defined in ref. 5, taking care of the commutation relation and the scaling.
13. 3 phase is stabilized exclusively by the second-neighbor (intra-sublattice) interaction, if it is realized in TmTe. This fact eventually justifies our basic assumption on the decoupled sc sublattices.
14. 2 for the zero and the (111) fields, one has to include some realistic effect into the model, which is discussed in Appendix C.
15. Y. Lassailly, C. Vettier, F. Holtzberg, A. Benoit and J. Flouquet: Solid State Comm. 52 (1984) 717.
16. 2 is along (11̄0) as shown in §3.1.
17. b)/2. In this case the magnetic interaction (3.1) depends only on φ and does not depends on δ. On the other hand the finite δ always leads to an energy loss due to the quadrupolar interaction and the crystal field. Thus δ should be zero independent of parameters.
18. M. Sera and S. Kobayashi: to be published in J. Phys. Soc. Jpn.
19. χ[001] hold in the normal phase due to the cubic symmetry.
20. R. Shiina, H. Shiba and O. Sakai: to appear in J. Phys. Soc. Jpn. 68 (1999) No. 7.
21. 7 states are assumed. This level scheme is given by a large sixth-order term of crystal field as well as the fourth-order term. Thus the result cannot be compared with the present paper quantitatively.
22. T. Sakakibara: to be published.