Abstract
Clean superconductors with weakly coupled conducting planes have been suggested as promising candidates for observing the Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state. We consider here a layered superconductor in a magnetic field of arbitrary orientation with respect to the conducting plane. In this case there is competition of Pauli spin-pair-breaking effects, favoring the FFLO state, and orbital-pair-breaking effects, favoring the Abrikosov vortex state. In previous work, phase transitions to phases with pairing in Landau levels with quantum numbers n > 0 have been predicted. Here, we calculate the actual structure of the stable states below H c2 by minimizing the free energy. We find new order parameter structures differing from both the traditional Abrikosov and FFLO solutions. These include two-dimensional periodic structures with several zeros of the order parameter, as well as quasi-one-dimensional structures consisting of vortex chains separated by FFLO domains. We discuss the limit of high n, where some interesting but yet unsolved questions appear.
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REFERENCES
V. L. Ginzburg, Sov. Phys. JETP 4, 153 (1957).
A. M. Clogston, Phys. Rev. Lett. 9, 266 (1962).
I. J. Lee, M. J. Naughton, G. M. Danner and P. M. Chaikin, Phys. Rev. Lett. 78, 3555 (1997).
C. Bernhard et al., preprint cond-mat/9901084, 1999.
R. Weht, A. B. Shick, and W. E. Pickett, preprint cond-mat/9903210, 1999.
B. S. Chandrasekhar, Appl. Phys. Lett. 1, 7 (1962).
P. Fulde and R. A. Ferrell, Phys. Rev. 135, A550 (1964).
A. I. Larkin and Y. N. Ovchinnikov, Sov. Phys. JETP 28, 1200 (1969).
L. W. Gruenberg and L. Gunther, Phys. Rev. Lett. 16, 996 (1966).
M. Tachiki, S. Takahashi, P. Gegenwart, M. Weiden, M. Lang, C. Geibel, F. Steglich, R. Modler, C. Paulsen, Y. Onuki, Z. Physik B 100, 369 (1996).
K. Aoi, W. Dieterich, and P. Fulde, Z. Physik 267, 223 (1973).
H. Shimahara, J. Phys. Soc. Jpn. 66, 541 (1997).
G. Yin and K. Maki, Phys. Rev. B 48, 650 (1993).
N. Dupuis, Phys. Rev. B 51, 9074 (1995).
A. I. Buzdin and M. L. Kulic, J. Low Temp. Phys. 54, 203 (1984).
H. Burkhardt and D. Rainer, Ann. Physik 3, 181 (1994).
H. Shimahara, J. Phys. Soc. Jpn. 67, 736 (1998).
L. N. Bulaevskii, Sov. Phys. JETP 38, 634 (1974).
H. Shimahara and D. Rainer, J. Phys. Soc. Jpn. 66, 3591 (1997).
L. W. Gruenberg and L. Gunther, Phys. Rev. 176, 606 (1968).
Z. Tesanovic, M. Rasolt, and L. Xing, Phys. Rev. Lett. 63, 2425 (1989).
A. G. Lebed, K. Yamaji, Phys. Rev. Lett. 80, 2697 (1998).
M. R. Norman, H. Akera, and A. H. MacDonald, Physica C 196, 43 (1992).
G. Eilenberger, Z. Physik 214, 195 (1968).
J. A. X. Alexander, T. P. Orlando, D. Rainer, and P. M. Tedrow, Phys. Rev. B 31, 5811 (1985).
U. Klein, Phys. Rev. B 40, 6601 (1989).
E. Helfand and N. R. Werthamer, Phys. Rev. 147, 288 (1966).
U. Klein, J. Low Temp. Phys. 69, 1 (1987).
A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).
H. Akera, A. H. MacDonald, and S. M. Girvin Phys. Rev. Lett. 67, 2375 (1991).
C. T. Rieck, K. Scharnberg, and N. Schopohl, J. Low Temp. Phys. 84, 381 (1991).
G. Eilenberger, Phys. Rev. 153, 584 (1967).
J. Rammer and W. Pesch J. Low Temp. Phys. 77, 235 (1989).
G. Eilenberger, Z. Physik 180, 32 (1964).
J. M. Delrieu, J. Low Temp. Phys. 6, 197 (1972).
U. Klein, to be published.
Z. Tesanovic, M. Rasolt, and L. Xing, Phys. Rev. B 43, 288 (1991).
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Klein, U., Rainer, D. & Shimahara, H. Interplay of Fulde–Ferrell–Larkin–Ovchinnikov and Vortex States in Two-Dimensional Superconductors. Journal of Low Temperature Physics 118, 91–104 (2000). https://doi.org/10.1023/A:1004630620483
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DOI: https://doi.org/10.1023/A:1004630620483