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Prog. Theor. Phys. Supplement No.160 (2005) pp. 114-133

[ Full Text PDF : FREE ACCESS (361K) ]

Sequence of Multipolar Transitions: Scenarios for URu2Si2

Patrik Fazekas,1 Annamária Kiss2 and Katalin Radnóczi1

1Research Institute for Solid State Physics and Optics,
Budapest 114, P.O.B. 49, H-1525, Hungary
2Department of Physics, Tohoku University, Sendai 980-8578, Japan

Abstract:

d- and f-shells support a large number of local degrees of freedom: dipoles, quadrupoles, octupoles, hexadecapoles, etc. Usually, the ordering of any multipole component leaves the system sufficiently symmetrical to allow a second symmetry breaking transition. Assuming that a second continuous phase transition occurs, we classify the possibilities. We construct the symmetry group of the first ordered phase, and then re-classify the order parameters in the new symmetry. While this is straightforward for dipole or quadrupole order, it is less familiar for octupole order.
We give a group theoretical analysis, and some illustrative mean field calculations, for the hypothetical case when a second ordering transition modifies the primary Txyz octupolar ordering in a tetragonal system like URu2Si2. If quadrupoles appear in the second phase transition, they must be accompanied by a time-reversal-odd multipole as an induced order parameter. For Oxy, Ozx, or Oyz quadrupoles, this would be one of the components of J, which should be easy either to check or to rule out. However, a pre-existing octupolar symmetry can also be broken by a transition to a new octupole–hexadecapole order, or by a combination of O22 quadrupole and triakontadipole order.
It is interesting to notice that if recent NQR results on URu2Si2 are interpreted as a hint that the onset of octupolar hidden order at T0 = 17 K is followed by quadrupolar ordering at T* ≈13.5 K, this sequence of events may fit several of the scenarios found in our general classification scheme. However, we have to await further evidence showing that the NQR anomalies at T* ≈13.5 K are associated with an equilibrium phase transition.


URL : http://ptp.ipap.jp/link?PTPS/160/114/
DOI : 10.1143/PTPS.160.114

[ Full Text PDF : FREE ACCESS (361K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 78 (2009) 072001 (33 pages) :
    Multipole Orders and Fluctuations in Strongly Correlated Electron Systems
    Yoshio Kuramoto, Hiroaki Kusunose, and Annamária Kiss

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