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Orbital and spin correlations in Ca \(\mathsf{_{2-x}}\)Sr\(\mathsf{_x}\)RuO\(\mathsf{_4}\): A mean field study

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Abstract.

The alloy Ca2-x Sr x RuO4 exhibits a complex phase diagram with peculiar magnetic metallic phases. In this paper some aspects of this alloy are discussed based on a mean field theory for an effective Kugel-Khomskii model of localized orbital and spin degrees of freedom. This model results from an orbital selective Mott transition which in the three-band system localized two orbitals while leaving the third one itinerant. Special attention is given to the region around a structure quantum phase transition at \( x \approx 0.5 \) where the crystal lattice changes from tetragonal to orthorhombic symmetry while leaving the system metallic. This transition yields, a change from ferromagnetic to antiferromagnetic spin correlations. The complete mean field phase diagram for this transition is given including orbital and spin order. The anisotropy of spin susceptibility, a consequence of spin-orbit coupling and orbital correlation, is a tell-tale sign of one of these phases. In the predominantly antiferromagnetic phase we describe a metamagnetic transition in a magnetic field and show that coupling of the itinerant band to the localized degrees of freedom yields an anomalous longitudinal magnetoresistance transition. Both phenomena are connected with the evolution of the ferromagnetic and antiferromagnetic domains in the external magnetic field and agree qualitatively with the experimental findings.

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References

  1. Y. Maeno et al. , Nature 372, 532 (1994)

    Google Scholar 

  2. Y. Maeno, T.M. Rice, M. Sigrist, Phys. Today, January 2001

  3. G. Cao, S.K. McCall, J.E. Crow, R.P. Guertin, Phys. Rev. B 56, R5740 (1997); S. Ikeda, Y. Maeno, T. Fujita, Phys. Rev. B 57, 978 (1998)

    Google Scholar 

  4. S.A. Grigera, R.S. Perry, A.J. Schofield, M. Chiao, S.R. Julian, G.G. Lonzarich, S.I. Ikeda, Y. Maeno, A.J. Millis, A.P. Mackenzie, Science 294, 329 (2001)

    Article  Google Scholar 

  5. S. Nakatsuji, Y. Maeno, Phys. Rev. Lett. 84, 2666 (2000); S. Nakatsuji, Y. Maeno, Phys. Rev. B 62, 6458 (2000)

    Article  Google Scholar 

  6. O. Friedt, M. Braden, G. Andre, P. Adelmann, S. Nakatsuji, Y. Maeno, Phys. Rev. B 63, 174432 (2001)

    Article  Google Scholar 

  7. C. Bergemann, S.R. Julian, A.P. Mackenzie, S. NishiZaki, Y. Maeno, Phys. Rev. Lett. 84, 2662 (2000)

    Article  Google Scholar 

  8. A. Damascelli, D.H. Lu, K.M. Shen, N.P. Armitage, F. Ronning, D.K. Feng, C. Kim, Z.X. Shen, T. Kimura, Y. Tokura, Z.Q. Mao, Y. Maeno, Phys. Rev. Lett. 85, 5194 (2000)

    Article  Google Scholar 

  9. T. Oguchi, Phys. Rev. B 51, 1385 (1995); D.J. Singh, Phys. Rev. B 52, 1358 (1995)

    Article  Google Scholar 

  10. T. Nomura, K. Yamada, J. Phys. Soc. Jpn 69, 1856 (2000)

    Google Scholar 

  11. I.I. Mazin, D.J. Singh, Phys. Rev. Lett. 82, 4324 (1999)

    Article  Google Scholar 

  12. K.K. Ng, M. Sigrist, J. Phys. Soc. Jpn 69, 3764 (2000)

    Google Scholar 

  13. Y. Sidis, M. Braden, P. Bourges, B. Hennion, S. Nishizaki, Y. Maeno, Y. Mori, Phys. Rev. Lett. 83, 3320 (1999)

    Article  Google Scholar 

  14. Z. Fang, K. Terakura, Phys. Rev. B 64, 020509 (2001); Z. Fang, N. Nagaosa, K. Terakura, Phys. Rev. B 69, 045116 (2004)

    Article  Google Scholar 

  15. V.I. Anisimov, I.A. Nekrasov, D.E. Kondakov, T.M. Rice, M. Sigrist, arXiv:cond-mat/0011460

  16. V.I. Anisimov, I.A. Nekrasov, D.E. Kondakov, T.M. Rice, M. Sigrist, Eur. Phys. J. B 25, 191 (2002)

    Article  Google Scholar 

  17. T. Hotta, E. Dagotto, Phys. Rev. Lett. 88, 017201 (2002)

    Article  Google Scholar 

  18. J.S. Lee, Y.S. Lee, T.W. Noh, S.-J. Oh, J. Yu, S. Nakatsuji, H. Fukazawa, Y. Maeno, Phys. Rev. Lett. 89, 257402 (2002)

    Article  Google Scholar 

  19. A. Gukasov, M. Braden, R.J. Papoular, S. Nakatsuji, Y. Maeno, Phys. Rev. Lett. 89, 087202 (2002)

    Article  Google Scholar 

  20. A. Liebsch, Europhys. Lett. 63, 97 (2003)

    Article  Google Scholar 

  21. A. Koga, N. Kawakami, T.M. Rice, M. Sigrist, arXiv:cond-mat/0401223

  22. S. Sachdev, Quantum phase transitions (Cambrigde, 1999)

  23. R. Matzdorf, Z. Fang, Ismail, J. Zhang, T. Kimura, Y. Tokura, K. Terakura, E.W. Plummer, Science 289, 746 (2000)

    Article  Google Scholar 

  24. K.I. Kugel, D.I. Khomskii, JETP Lett. 23, 237 (1976); D.I. Khomskii, K.I. Kugel, Phys. Stat. Sol. (B) 79, 441 (1977)

    Google Scholar 

  25. Y. Imry, M. Wortis, Phys. Rev. B 19, 3580 (1979)

    Article  Google Scholar 

  26. M. Troyer, Lect. Notes Comp. Sci. 1732, 164 (1999)

    Google Scholar 

  27. S. Nakatsuji, private communication

  28. S. Nakatsuji, Ph.D. thesis

  29. S. Nakatsuji, D. Hall, L. Balicas, Z. Fisk, K. Sugahara, M. Yoshioka, Y. Maeno, Phys. Rev. Lett. 90, 137202 (2003)

    Article  Google Scholar 

  30. K.K. Ng, M. Sigrist, Europhys. Lett. 49, 473 (2000)

    Article  Google Scholar 

  31. A similar network approach was introduced for the description of the CMR by J. Burgy, M. Mayr, V. Martin-Mayor, A. Moreo, E. Dagotto, Phys. Rev. Lett. 87, 277202 (2001)

    Article  Google Scholar 

  32. O. Friedt, M. Braden, private communications

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Correspondence to M. Sigrist.

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Received: 27 March 2004, Published online: 29 June 2004

PACS:

75.30.-m Intrinsic properties of magnetically ordered materials - 75.50.-y Studies of specific magnetic materials

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Sigrist, M., Troyer, M. Orbital and spin correlations in Ca \(\mathsf{_{2-x}}\)Sr\(\mathsf{_x}\)RuO\(\mathsf{_4}\): A mean field study. Eur. Phys. J. B 39, 207–218 (2004). https://doi.org/10.1140/epjb/e2004-00183-0

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