Special Issue on Quantum Spin Ice and Liquid in Geometrically Frustrated Magnets; Guest Editors: Ying-Jer Kao (National Taiwan University), Shigeki Onoda (RIKEN, Japan) and Satoru Nakatsuji (University of Tokyo, Japan)No Access

Composite Spin and Quadrupole Wave in the Ordered Phase of Tb_2+xTi_2-xO_7+y

Corrections for this article
- Erratum: Composite Spin and Quadrupole Wave in the Ordered Phase of Tb $_{2 + x}$ Ti $_{2 - x}$ O $_{7 + y}$

H. Kadowaki

Department of Physics, Tokyo Metropolitan University, Hachioji-shi, Tokyo 192-0397, Japan

Corresponding author.

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H. Takatsu

Department of Physics, Tokyo Metropolitan University, Hachioji-shi, Tokyo 192-0397, Japan

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T. Taniguchi

Department of Physics, Tokyo Metropolitan University, Hachioji-shi, Tokyo 192-0397, Japan

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B. Fåk

Institute Laue Langevin, BP156, F-38042 Grenoble, France

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, and

J. Ollivier

Institute Laue Langevin, BP156, F-38042 Grenoble, France

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https://doi.org/10.1142/S2010324715400032Cited by:22 (Source: Crossref)

Abstract

The hidden ordered state of the frustrated pyrochlore oxide Tb_2+xTi_2-xO_7+y is possibly one of the two electric multipolar, or quadrupolar, states of the effective pseudospin-1/2 Hamiltonian derived from crystal-field ground state doublets of non-Kramers Tb³⁺ ions. These long-range orders are antiparallel or parallel alignments of transverse pseudospin components representing electric quadrupole moments, which cannot be observed as magnetic Bragg reflections by neutron scattering. However, pseudospin waves of these states are composite waves of the magnetic-dipole and electric-quadrupole moments, and can be partly observed by inelastic magnetic neutron scattering. We calculate these spin-quadrupole waves using linear spin-wave theory and discuss previously observed low-energy magnetic excitation spectra of a polycrystalline sample with x = 0.005(T_c = 0.5 K).

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