Unconventional superconductivity and magnetism in Sr2RuO4 and related materials
Corresponding Author
I. Eremin
Institut für Theoretische Physik, Freie Universität Berlin, 14195 Berlin, Germany
Physics Department, Kazan State University, 420008 Kazan, Russia
Search for more papers by this authorD. Manske
Institut für Theoretische Physik, Freie Universität Berlin, 14195 Berlin, Germany
Search for more papers by this authorS.G. Ovchinnikov
L. V. Kirensky Institute of Physics, Krasnoyarsk State University, Krasnoyarsk, Russia
Search for more papers by this authorJ.F. Annett
H. H. Wills Physics Laboratory, University of Bristol, Tyndall Ave, BS8-1TL, United Kingdom
Search for more papers by this authorCorresponding Author
I. Eremin
Institut für Theoretische Physik, Freie Universität Berlin, 14195 Berlin, Germany
Physics Department, Kazan State University, 420008 Kazan, Russia
Search for more papers by this authorD. Manske
Institut für Theoretische Physik, Freie Universität Berlin, 14195 Berlin, Germany
Search for more papers by this authorS.G. Ovchinnikov
L. V. Kirensky Institute of Physics, Krasnoyarsk State University, Krasnoyarsk, Russia
Search for more papers by this authorJ.F. Annett
H. H. Wills Physics Laboratory, University of Bristol, Tyndall Ave, BS8-1TL, United Kingdom
Search for more papers by this authorAbstract
We review the normal and superconducting state properties of the unconventional triplet superconductor Sr2RuO4 with an emphasis on the analysis of the magnetic susceptibility and the role played by strong electronic correlations. In particular, we show that the magnetic activity arises from the itinerant electrons in the Ru d-orbitals and a strong magnetic anisotropy occurs (χ+- < χzz) due to spin-orbit coupling. The latter results mainly from different values of the g-factor for the transverse and longitudinal components of the spin susceptibility (i.e. the matrix elements differ). Most importantly, this anisotropy and the presence of incommensurate antiferromagnetic and ferromagnetic fluctuations have strong consequences for the symmetry of the superconducting order parameter. In particular, reviewing spin fluctuation-induced Cooper-pairing scenario in application to Sr2RuO4 we show how p-wave Cooper-pairing with line nodes between neighboring RuO2-planes may occur. We also discuss the open issues in Sr2RuO4 like the influence of magnetic and non-magnetic impurities on the superconducting and normal state of Sr2RuO4. It is clear that the physics of triplet superconductivity in Sr2RuO4 is still far from being understood completely and remains to be analyzed more in more detail. It is of interest to apply the theory also to superconductivity in heavy-fermion systems exhibiting spin fluctuations.
References
- [1]J.G. Bednorz and K.A. Müller, Z. Phys. B 64, 189 (1986).
- [2]Y. Maeno et al., Nature 372, 532 (1994).
- [3]A.P. Mackenzie et al., Phys. Rev. Lett. 80, 161 (1998).
- [4]K. Ishida et al., Phys. Rev. B 56, 505 (1997).
- [5]T.M. Rice and M. Sigrist, J. Phys., Condens. Matter 7, L643 (1995).
- [6]M. Sigrist, D. Agterberg, A. Furusaki, C. Honerkamp, K.K. Ng, T.M. Rice, and M.E. Zhitomirsky, Physica C 317–318, 134 (1999).
- [7]Y. Sidis et al., Phys. Rev. Lett. 83, 3320 (1999).
- [8]K. Ishida, H. Mukuda, Y. Kitaoka, Z.Q. Mao, H. Fukuzawa, and Y. Maeno, Phys. Rev. B 63, 060507 (2001).
- [9]T. Dahm, H. Won, and K. Maki, cond-mat/0006151 (unpublished).
- [10]A.P. Mackenzie and Y. Maeno, Rev. Mod. Phys. 75, 657 (2003).
- [11]C. Noce and M. Cuoco, Phys. Rev. B 59, 2659 (1999).
- [12]T. Oguchi, Phys. Rev. B 51, 1385 (1995).
- [13]D. Singh, Phys. Rev. B 52, 1358 (1995).
- [14]A. Liebsch and A. Lichtenstein, Phys. Rev. Lett. 84, 1591 (2000).
- [15]A.P. Mackenzie et al., Phys. Rev. Lett. 76, 3786 (1996). Y. Yoshida et al., J. Phys. Soc. Jpn. 68, 3041 (1999).
- [16]I.I. Mazin and D. Singh, Phys. Rev. B 56, 2556 (1997).
- [17]I.I. Mazin and D. Singh, Phys. Rev. Lett. 82, 4324 (1999).
- [18]T. Imai et al., Phys. Rev. Lett. 81, 3006 (1998).
- [19]J.F. Annett, Adv. Phys. 39, 83 (1990).
- [20]J.A. Duffy et al., Phys. Rev. Lett. 85, 5412 (2000).
- [21]G.M. Luke et al., Nature 394, 558 (1998).
- [22]D.J. Scalapino, Phys. Rep. 250, 329 (1995); N.F. Berk and J.R. Schrieffer, Phys. Rev. Lett. 17, 433 (1966). A.J. Layzer and D. Fay, Int. J. Magn. 1, 135 (1971); in Proceedings of the 11th International Conference on Low Temperature Physics (LT 11) (St. Andrews Press, Edinburgh, 1968), Vol. 2, p. 760. P.W. Anderson and W.F. Brinkmann, in: The physics of liquid and solid Helium, V. 2, edited by K. H. Bennemann and J. B. Ketterson (Wiley-Interscience, New York Chichester Brisbane Toronto, 1978).
- [23]H. Kontani and K. Ueda, Phys. Rev. Lett. 80, 5619 (1998).
- [24]K. Kuroki, M. Ogata, R. Arita, and H. Aoki, Phys. Rev. B 63, 060506(R) (2001).
- [25]S. Nishizaki, Y. Maeno, and Z. Mao, J. Low Temp. Phys. 117, 1581 (1999); J. Phys. Soc. Jpn. 69, 572 (2000).
- [26]K. Ishida et al., Phys. Rev. Lett. 84, 5387 (2000).
- [27]M. Tanatar et al., Phys. Rev. B 63, 064505 (2001).
- [28]I. Bonalde et al., Phys. Rev. Lett. 85, 4775 (2000).
- [29]I. Eremin, D. Manske, C. Joas, and K.H. Bennemann, Europhys. Lett. 57, 447 (2002).
- [30]M.E. Zhitomirsky and T.M. Rice, Phys. Rev. Lett. 87, 057001 (2001).
- [31]J.F. Annett, G. Litak, B.L. Gyorffy, and K.I. Wysokinski, Phys. Rev. B 66, 134514 (2002).
- [32]K. Izawa, H. Takahashi, H. Yamaguchi, Y. Matsuda, M. Suzuki, T. Sasaki, T. Fukase, Y. Yoshida, R. Settai, and Y. Onuki, Phys. Rev. Lett. 86, 2653 (2001).
- [33]Y. Hasegawa and M. Yakiyama, J. Phys. Soc. Jpn. 72, 1318 (2003).
- [34]Y. Yanase and M. Ogata, J. Phys. Soc. Jpn. 72, 673 (2003).
- [35]S. Koikegami, Y. Yoshida, and T. Yanagisawa, Phys. Rev. B 67, 134517 (2003).
- [36]K.K. Ng and M. Sigrist, Europhys. Lett. 49, 473 (2000).
- [37]T. Mizokawa, L.H. Tjeng, G.A. Sawatzky, G. Ghiringhelli, O. Tjernberg, N.B. Brookes, H. Fukazawa, S. Nakatsuji, and Y. Maeno, Phys. Rev. Lett. 87, 077202 (2001).
- [38]I. Eremin, D. Manske, and K.H. Bennemann, Phys. Rev. B 65, 220502(R) (2002). I. Eremin, D. Manske, J.-R. Tarento, and K.H. Bennemann, J. Supercond. (USA) 15, 447 (2002).
- [39]K.K. Ng and M. Sigrist, J. Phys. Soc. Jpn. 69, 3764 (2000).
- [40]M. Braden, P. Steffens, Y. Sidis, J. Kulda, P. Bourges, S. Hayden, N. Kikugawa, and Y. Maeno, cond-mat/0307662 (unpublished).
- [41]K. Deguchi, M. Tanatar, Z. Mao, T. Ishiguro, and Y. Maeno, J. Phys. Soc. Jpn. 71, 2839 (2002).
- [42]Y. Maeno, T.M. Rice, and M. Sigrist, Phys. Today 1, 42 (2001).
- [43]E.V. Kuz'min, S.G. Ovchinnikov, and I.O. Baklanov, Phys. Rev. B 61, 15392 (2000).
- [44]F.C. Zhang and T.M. Rice, Phys. Rev. B 37, (1987).
- [45]K.H. Bennemann and J. Ketterson (eds.), Physics of Superconductors (Springer-Verlag, Berlin, 2003).
- [46]S. Nakatsuji and Y. Maeno, Phys. Rev. Lett. 84, 2666 (2000); Phys. Rev. B 62, 6458 (2000).
- [47]O. Friedt et al., Phys. Rev. B 63, 174432 (2001).
- [48]Z. Fang and K. Terakura, Phys. Rev. B 64, 020509 (2001).
- [49]S.G. Ovchinnikov, in: Ruthenate and Rutheno-Cuprate Materials, Lecture Notes in Physics (Springer, Berlin, 2002).
- [50]T. Mizokawa et al., Phys. Rev. Lett. 87, 077201 (2001).
- [51]F. Nakamura, T. Goko, M. Ito, T. Fujita, S. Nakatsuji, H. Fukazawa, Y. Maeno, P. Alireza, D. Forsythe, and S.R. Julian, Phys. Rev. B 65, 220402(R) (2002).
- [52]V.I. Anisimov, I.A. Nekrasov, D.E. Kondakov, T.M. Rice, and M. Sigrist, Eur. Phys. Journal B 25, 191 (2002).
- [53]A.V. Mahajan et al., Phys. Rev. Lett. 72, 3100 (1994).
- [54]A. Polkovnikov, S. Sachdev, and M. Vojta, Phys. Rev. Lett. 86, 296 (2001).
- [55]S. Nishizaki, Y. Maeno, and Z.Q. Mao, J. Low Temp. Phys. 117, 1581 (1999).
- [56]K. Ishida, H. Mukuda, Y. Kitaoka, Z.Q. Mao, H. Fukazawa, and Y. Maeno, Phys. Rev. Lett. 84, 5387 (2000).
- [57]N. Kikigawa, A.P. Mackenzie, and Y. Maeno, J. Phys. Soc. Jpn. 72, 237 (2003).
- [58]M. Minakata and Y. Maeno, Phys. Rev. B 63, 180504(R) (2001).
- [59]M. Braden et al., Phys. Rev. Lett. 88, 197002 (2002).
- [60]N. Kikigawa and Y. Maeno, Phys. Rev. Lett. 89, 117001 (2002).
- [61]R.J. Cava, B. Batlogg, K. Kiyono, and H. Takagi, Phys. Rev. B 49 11890 (1994).
- [62]R.J. Radtke, K. Levin, H.-B. Schüttler, and M. Norman, Phys. Rev. B 48, 653 (1993).