Abstract
We discuss the weak-coupling BCS theory of the heavy fermion superconductor UPt 3 , accounting for that system's anisotropic, multisheeted Fermi surface by expanding the order parameter and pair potential in terms of appropriate basis functions of the irreducible representations of the D 6h crystal point group. Within a phenomenological model for the electronic structure of UPt 3 chosen to capture the qualitative features of local density functional calculations and de Haas–van Alphen measurements, we show how Fermi surface anisotropy can favor pairing in certain symmetry classes, and influence the phase diagram of unconventional superconductors. We also calculate the Ginzburg–Landau coefficients, focussing on those coefficients relevant to current theories of the UPt 3 phase diagram.
Similar content being viewed by others
REFERENCES
J. A. Sauls, Adv. in Phys. 43, 113 (1994).
R. Joynt, V. P. Mineev, G. E. Volovik, and M. E. Zhitomirsky, Phys. Rev. B 42, 2014 (1990).
D.-C. Chen and A. Garg, Phys. Rev. Lett. 70, 1689 (1993).
K. Machida and M. Ozaki, Phys. Rev. Lett. 66, 3293 (1991).
M. E. Zhitomirskii and I. A. Luk'yanchuk, JETP Lett. 58, 131 (1993).
S. Adenwalla, S. W. Lin, Q. Z. Ran, Z. Zhao, J. B. Ketterson, J. A. Sauls, L. Taillefer, D. G. Hinks, M. Levy, and B. K. Sarma, Phys. Rev. Lett. 65, 2298 (1990).
K. Hasselbach, A. Lacerda, K. Behnia, L. Taillefer, J. Flouquet, and A. de Visser, J. Low Temp. Phys. 81, 299 (1990).
H. v. Löhneysen, T. Trappman, and L. Taillefer, J. Magn. Magn. Mater. 108, 49 (1992).
M. Boukhny, G. L. Bullock, B. S. Shivaram, and D. G. Hinks, Phys. Rev. Lett. 73, 1707 (1994).
G. E. Volovik and L. P. Gorkov, Sov. Phys. JETP 61, 843 (1985).
E. Blount, Phys. Rev. B 32, 2935 (1985).
K. Ueda and T. M. Rice, Phys. Rev. B 31, 7114 (1985).
M. Sigrist and K. Ueda, Rev. Mod. Phys. 63, 239 (1991).
L. Taillefer, R. Newbury, G. G. Lonzarich, Z. Fisk, and J. L. Smith, J. Magn. Magn. Mater. 63&64, 372 (1987).
T. Oguchi, A. J. Freeman, and G. W. Crabtree, J. Magn. Magn. Mater. 63&64, 645 (1987).
M. R. Norman, R. C. Albers, A. M. Boring, and N. E. Christensen, Solid State Commun. 68, 245 (1988).
R. Joynt, Sup. Sci. Tech. 1, 210 (1988).
D. Hess, T. Tokoyasu, and J. A. Sauls, J. Phys. Condens. Matter 1, 8135 (1989).
S. M. Hayden, L. Taillefer, C. Vettier, and J. Flouquet, Phys. Rev. B 46, 8675 (1992).
K. Machida, Prog. Theor. Phys. Suppl. 108, 229 (1992).
K. A. Park and R. Joynt, Phys. Rev. B 53, 12346 (1996).
D. S. Jin, A. Husmann, T. F. Rosenbaum, T. E. Steyer, and K. T. Faber, Phys. Rev. Lett. 78, 1775 (1997).
J. A. Sauls, Phys. Rev. B 53, 8543 (1996).
B. Lussier, L. Taillefer, W. J. L. Buyers, T. E. Mason and T. Petersen, Phys. Rev. B 54, R6873 (1996); see also E. D. Isaacs, P. Zschack, C. L. Broholm, C. Burns, G. Aeppli, A. P. Ramirez, T. T. M. Palstra, R. W. Erwin, N. Stücheli, and E. Bucher, Phys. Rev. Lett. 75, 1178 (1995).
H. Tou, Y. Kitaoka, K. Asayama, N. Kimura, Y. Onuki, E. Yamamo, and K. Maezawa, Phys. Rev. Lett. 77, 1374 (1996).
K. Machida and T. Ohmi, J. Phys. Soc. Japan Lett. 65, 3456 (1996); T. Ohmi and K. Machida, J. Phys. Soc. Japan 65, 4018 (1996).
C. H. Choi and J. A. Sauls, Phys. Rev. Lett. 66, 484 (1991); Phys. Rev. B 48, 13684 (1993).
L. Taillefer and G. G. Lonzarich, Phys. Rev. Lett. 60, 1570 (1988).
R. A. Fisher, S. Kim, B. F. Woodfield, N. E. Philips, L. Taillefer, K. Hasselbach, J. Flouquet, A. L. Giorgi, and J. L. Smith, Phys. Rev. Lett. 62, 1411 (1989).
J. W. Serene and D. Rainer, Phys. Rep. 101, 221 (1983).
P. B. Allen, Phys. Rev. B 13, 1416 (1976).
W. H. Butler and P. B. Allen, in Superconductivity in d-and f-Band Metals, New York, Plenum Press (1977).
M. R. Norman and P. J. Hirschfeld, Phys. Rev. B 53, 5706 (1996).
T. A. Tokuyasu, D. W. Hess, and J. A. Sauls, Phys. Rev. B 41, 8891 (1990).
R. C. Albers, A. M. Boring, and N. E. Christensen, Phys. Rev. B 33, 8116 (1986).
V. Vinokur, J. A. Sauls, and M. R. Norman, private communication; Bull. Am. Phys. Soc. 39, 592 (1994).
M. R. Norman and J. A. Sauls, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harań, G., Hirschfeld, P.J. & Sigrist, M. Effects of Fermi Surface Anisotropy on Unconventional Superconductivity in UPt3 . Journal of Low Temperature Physics 111, 73–98 (1998). https://doi.org/10.1023/A:1022298208486
Issue Date:
DOI: https://doi.org/10.1023/A:1022298208486