Abstract
Magnetic systems are fertile ground for the emergence of exotic states1 when the magnetic interactions cannot be satisfied simultaneously owing to the topology of the lattice—a situation known as geometrical frustration2,3. Spinels, AB2O4, can realize the most highly frustrated network of corner-sharing tetrahedra1,2,3. Several novel states have been discovered in spinels, such as composite spin clusters1 and novel charge-ordered states4,5,6. Here, we use neutron and synchrotron X-ray scattering to characterize the fractional magnetization state of HgCr2O4 under an external magnetic field, H. When the field is applied in its Néel ground state, a phase transition occurs at H∼10 T at which each tetrahedron changes from a canted Néel state to a fractional spin state with the total spin, Stet, of S/2 and the lattice undergoes an orthorhombic to cubic symmetry change. Our results provide the microscopic one-to-one correspondence between the spin state and the lattice distortion.
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References
Lee, S.-H. et al. Emergent excitations in a geometrically frustrated magnet. Nature 418, 856–858 (2002).
Bramwell, S. T. & Gingras, M. J. P. Spin ice state in frustrated magnetic pyrochlore materials. Science 294, 1495–1501 (2001).
Ramirez, A. P. in Handbook on Magnetic Materials Vol. 13 (ed. Busch, K. J. H.) 423–520 (Elsevier Science, Amsterdam, 2001).
Iizumi, M. et al. Structure of magnetite (Fe3O4) below the Verwey transition temperature. Acta Crystallogr. 38, 2121–2133 (1982).
Radaelli, P. G. et al. Formation of isomorphic Ir3+ and Ir4+ octamers and spin dimerization in the spinel CuIr2S4 . Nature 416, 155–158 (2002).
Horibe, Y. et al. Spontaneous formation of vanadium molecules in a geometrically frustrated crystal: AlV2O4 . Phys. Rev. Lett. 96, 086406 (2006).
Moessner, R. & Chalker, J. T. Properties of a classical spin liquid: The Heisenberg pyrochlore antiferromagnet. Phys. Rev. Lett. 80, 2929–2932 (1998).
Canals, B. & Lacroix, C. Pyrochlore antiferromagnet: A three-dimensional quantum spin liquid. Phys. Rev. Lett. 80, 2933–2936 (1998).
Goodenough, J. B. Direct cation-cation interaction in several oxides. Phys. Rev. 117, 1442–1451 (1960).
Samuelsen, E. J., Hutchings, M. T. & Shirane, G. Inelastic neutron scattering investigation of spin waves and magnetic interactions in Cr2O3 . Physica 48, 13–42 (1970).
Lee, S.-H., Broholm, C., Kim, T. H., Ratcliff, W. & Cheong, S.-W. Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet. Phys. Rev. Lett. 84, 3718–3721 (2000).
Ueda, H., Aruga-Katori, H., Mitamura, H., Goto, T. & Takagi, H. Magnetic-field induced transition to the 1/2 magnetization plateau state in the geometrically frustrated magnet CdCr2O4 . Phys. Rev. Lett. 94, 047202 (2005).
Ueda, H., Mitamura, H., Goto, T. & Ueda, Y. Successive field-induced transitions in a frustrated antiferromagnet HgCr2O4 . Phys. Rev. B 73, 094415 (2006).
Yamashita, Y. & Ueda, K. Spin-driven Jahn-Teller distortion in a pyrochlore system. Phys. Rev. Lett. 85, 4960–4963 (2000).
Tchernyshyov, O., Moessner, R. & Sondhi, S. L. Order by distortion and string modes in pyrochlore antiferromagnets. Phys. Rev. Lett. 88, 067203 (2002).
Keren, A. & Gardner, J. S. Frustration driven lattice distortion: An NMR investigation of Y2Mo2O7 . Phys. Rev. Lett. 87, 177201 (2001).
Khomskii, D. I. & Mizokawa, T. Orbitally induced Peierls state in spinels. Phys. Rev. Lett. 94, 156402 (2005).
Ueda, Y., Fujiwara, N. & Yasuoka, H. Magnetic and structural transitions in (LixZn1−x)V2O4 with the spinel structure. J. Phys. Soc. Jpn 66, 778–783 (1997).
Tsunetsugu, H. & Motome, Y. Magnetic transition and orbital degrees of freedom in vanadium spinels. Phys. Rev. B 68, 060405(R) (2003).
Lee, S.-H. et al. Orbital and spin chains in ZnV2O4 . Phys. Rev. Lett. 93, 156407 (2004).
Zhang, Z. et al. Local order and frustration in geometrically frustrated spinels Cd1−xZnxV2O4 . Phys. Rev. B 74, 014108 (2006).
Chung, J.-H. et al. Statics and dynamics of incommensurate spin order in a geometrically frustrated antiferromagnet CdCr2O4 . Phys. Rev. Lett. 95, 247204 (2005).
Motida, M. & Miahara, S. On the 90∘ exchange interaction between cations (Cr3+, Mn2+, Fe3+ and Ni2+) in oxides. J. Phys. Soc. Jpn 28, 1188–1196 (1970).
Penc, K., Shannon, N. & Shiba, H. Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice. Phys. Rev. Lett. 93, 197203 (2004).
Bergman, D. L., Shindou, R., Fiete, G. A. & Balents, L. Quantum effects in half-polarized pyrochlore antiferromagnet. Phys. Rev. Lett. 96, 097207 (2006).
Bergman, D. L., Shindou, R., Fiete, G. A. & Balents, L. Mechanisms of degeneracy breaking in pyrochlore antiferromagnets. Phys. Rev. B 74, 134409 (2006).
Acknowledgements
We thank S. Katano for use of the 13.5 T magnet, L. Balents, M. Gingras, K. Kakurai, D. I. Khomskii, K. Penc and H. Takagi for helpful discussions and J.-H. Chung and Y. Shimojo for technical assistance. M.M. is supported by MEXT of Japan and JSPS. Activities at SPINS were partially supported by NSF. S.-H.L. is partially supported by NIST.
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Matsuda, M., Ueda, H., Kikkawa, A. et al. Spin–lattice instability to a fractional magnetization state in the spinel HgCr2O4. Nature Phys 3, 397–400 (2007). https://doi.org/10.1038/nphys586
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DOI: https://doi.org/10.1038/nphys586
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