Spin gap in Tl2Ru2O7 and the possible formation of Haldane chains in three-dimensional crystals
Source abstract
Abstract
Dimensionality is one of the most important parameters of physical phenomena. Only two things determine the universality class of a phase transition: the dimensionality of a given system and the symmetry of the order parameter. In most cases, the dimensionality of a substance is predetermined by its crystal structure. Examples in which the effective dimensionality is reduced are quite rare. Here we show that the three-dimensional cubic system of Tl(2)Ru(2)O(7) most probably evolves into a one-dimensional spin-one Haldane system with a spin gap below 120 K, accompanied by anomalies in the structure, resistivity and susceptibility. We argue that these anomalies are due to an orbital ordering of Ru 4d electrons, with a strong coupling among three degrees of freedom: orbital, spin and lattice. Our work provides a unique example of the spontaneous formation of Haldane system with an insight into the intriguing interplay of different degrees of freedom.
Source: europepmc · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Advanced Condensed Matter Physics · Physics of Superconductivity and Magnetism · Perovskite Materials and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (31)
Show source-provided references
1. Wilson, K. G. Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture. Phys. Rev. B 4, 3174–3183 (1971).10.1103/PhysRevB.4.3174 ↗
2. Keller, H. J. Chemistry and Physics of One-Dimensional Metals (Plenum, New York, 1977).10.1007/978-1-4615-8915-0 ↗
3. Bednorz, J. G. & Müller, K. A. Possible high Tc superconductivity in the barium-lanthanum-copper-oxygen system. Z. Phys. B 64, 189–193 (1986).10.1007/BF01303701 ↗
4. Cox, D. E. & Minikiewicz, V. J. Magnetic ordering and low Ni2+ moment in CsNiCl3 . Phys. Rev. B 4, 2209–2212 (1971).10.1103/PhysRevB.4.2209 ↗
5. Buyers, W. J. L. et al. Experimental evidence for the Haldane gap in a spin-1 nearly isotropic, antiferromagnetic chain. Phys. Rev. Lett. 56, 371–374 (1986).10.1103/PhysRevLett.56.371 ↗
6. Sakai, H., Kato, M., Yoshimura, K. & Kosuge, K. Tl-NMR study of pyrochlore oxide Tl2Ru2O7: observation of spin-singlet formation. J. Phys. Soc. Jpn 71, 422–424 (2002).10.1143/JPSJ.71.422 ↗
7. Takeda, T. et al. Structure-property relationships in pyrochlores: low-temperature structures of Tl2Ru2O7−δ (δ=0.00 and 0.05). J. Mater. Chem. 9, 215–222 (1999).10.1039/a805664a ↗
8. Jo, Y. et al. Low-temperature anomaly of a spin-glass type in ferromagnetic R2Mo2O7 with R=Sm and Nd. J. Kor. Phys. Soc. 47, 123–129 (2005).
9. Khalifah, P. et al. Orbital ordering transition in La4Ru2O10 . Science 297, 2237–2240 (2002).10.1126/science.1075556 ↗
10. Adroja, D. T. et al. Spin gap formation in the heavy fermion skutterudite compound CeRu4Sb12 . Phys. Rev. B 68, 094425 (2003).10.1103/PhysRevB.68.094425 ↗
11. Hase, M., Terasaki, I. & Uchinokura, K. Observation of the spin-Peierls transition in linear Cu2+ (spin-1/2) chains in an inorganic compound CuGeO3 . Phys. Rev. Lett. 70, 3651–3654 (1993).10.1103/PhysRevLett.70.3651 ↗
12. Shaz, M. et al. Spin-Peierls transition in TiOCl. Phys. Rev. B 71, 100405 (2005).10.1103/PhysRevB.71.100405 ↗
13. Schmidt, M. et al. Spin singlet formation in MgTi2O4: evidence of a helical dimerization pattern. Phys. Rev. Lett. 92, 056402 (2004).10.1103/PhysRevLett.92.056402 ↗
14. Radaelli, P. G. et al. Formation of isomorphic Ir3+ and Ir4+ octamers and spin dimerization in the spinel CuIr2S4 . Nature 416, 155–158 (2002).10.1038/416155a ↗
15. Khomskii, D. I. & Mizokawa, T. Orbitally induced Peierls state in spinels. Phys. Rev. Lett. 94, 156402 (2005).10.1103/PhysRevLett.94.156402 ↗
16. Haldane, F. D. M. Nonlinear field theory of large-spin Heisenberg antiferromagnets: semiclassically quantized solitons of the one-dimensional easy-axis Néel state. Phys. Rev. Lett. 50, 1153–1156 (1983).10.1103/PhysRevLett.50.1153 ↗
17. Lee, J. S. et al. Temperature-dependent self-doping effects on the metal-insulator transition of Tl2Ru2O7 . Phys. Rev. B 64, 165108 (2001).10.1103/PhysRevB.64.165108 ↗
18. Andersen, O. K., Klose, W. & Nohl, H. Electronic structure of Chevrel-phase high-critical-field superconductors. Phys. Rev. B 17, 1209–1237 (1978).10.1103/PhysRevB.17.1209 ↗
19. White, S. R. Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B 48, 10345–10356 (1993).10.1103/PhysRevB.48.10345 ↗
20. Kim, Y. J. & Birgeneau, R. J. Monte Carlo study of the S=1/2 and S=1 Heisenberg antiferromagnet on a spatially anisotropic square lattice. Phys. Rev. B 62, 6378–6384 (2000).10.1103/PhysRevB.62.6378 ↗
21. Kolezhuk, A., Roth, R. & Schollwock, U. First order transition in the frustrated antiferromagnetic Heisenberg S=1 quantum spin chain. Phys. Rev. Lett. 77, 5142–5145 (1996).10.1103/PhysRevLett.77.5142 ↗
22. Sleight, A. W. & Bouchard, R. J. Solid State Chemistry, Proceedings of the 5th Materials Research Symposium 227–232 (NBS Spec., Washington DC, 1972).
23. Takeda, T. et al. High-pressure synthesis, crystal structure, and metal–semiconductor transitions in the Tl2Ru2O7−δ pyrochlore. J. Solid State Chem. 140, 182–193 (1998).10.1006/jssc.1998.7848 ↗
24. Jarret, H. S. et al. in Valence Instabilities and Related Narrow-Band Phenomena (ed. Parks, R. D.) 545–549 (Plenum, New York, 1977).10.1007/978-1-4615-8816-0_67 ↗
25. Rodriguez-Carvajal, J. Recent advances in magnetic structure determination by neutron powder diffraction. Physica B 192, 55–69 (1993).10.1016/0921-4526(93)90108-I ↗
26. Anisimov, V. I., Zaanen, J. & Andersen, O. K. Band theory and Mott insulators: Hubbard U instead of Stoner I. Phys. Rev. B 44, 943–954 (1991).10.1103/PhysRevB.44.943 ↗
27. Solovyev, I., Hamada, N. & Terakura, K. t2g versus all 3d localization in LaMO3 perovskite (M=Ti–Cu): First-principle study. Phys. Rev. B 53, 7158–7170 (1996).10.1103/PhysRevB.53.7158 ↗
28. Andersen, O. K. & Jepsen, O. Explicit, first-principles tight-binding theory. Phys. Rev. Lett. 53, 2571–2574 (1984).10.1103/PhysRevLett.53.2571 ↗
29. Katsnelson, M. I. & Lichtenstein, A. I. First-principles calculations of magnetic interactions in correlated systems. Phys. Rev. B 61, 8906–8912 (2000).10.1103/PhysRevB.61.8906 ↗
30. Pavarini, E., Yamasaki, A., Nuss, J. & Andersen, O. K. How chemistry controls electron localization in 3d1 perovskites: a Wannier-function study. New J. Phys. 7, 188 (2005).10.1088/1367-2630/7/1/188 ↗
31. Ulrich, C. et al. Magnetic order and dynamics in an orbitally degenerate ferromagnetic insulator. Phys. Rev. Lett. 89, 167202 (2002).10.1103/PhysRevLett.89.167202 ↗