Generalized Fulde-Ferrell-Larkin-Ovchinnikov state in heavy-fermion and intermediate-valence systems

Modler, R., Gloos, K., Geibel, C., Komatsubara, T., Sato, N., Schank, C., Steglich, F.: Int. J. Mod. Phys. B7,42 (1993);

Modler, R.: diploma thesis, Darmstadt (1992), unpublished

Gloos, K., Modler, R., Schimanski, H., Bredl, C.D., Geibel, C., Steglich, F., Buzdin, A.I., Sato, N., Komatsubara, T.: Phys. Rev. Lett. 70, 501 (1993)

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Larkin, A.I., Ovchinnikov, Yu. N.: Zh. Eksp. Teor. Fiz. 47,1136 (1964) [Sov. Phys. JETP 20, 762 (1965)]

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Finnemore, D.K., Stromberg, T.F., Swenson, C.A.: Phys. Rev. 149,231 (1966);

Weber, H.W., Seidl, E., Laa, C., Schachinger, M., Prohammer, M., Junod, A., Eckert, D.: Phys. Rev. B 44, 7858 (1991)

Tenya, K., Ikeda, M., Tayama, T., Mitamura, H., Amitsuka, H., Sakakibara, T., Maezawa, K., Kimura, N., Settai, R., Onuki, Y.: J. Phys. Soc. Jpn. 64, 1063 (1995)

Huxley, A.D., Paulsen, C., Laborde, O., Tholence, J.L., Sanchez, D., Junod, A., Calemczuk, R.: J. Phys.: Condens. Matter 5, 7709 (1993)

Yagasaki, K., Hedo, M., Nakama, T.: J. Phys. Soc. Jpn. 62,3825 (1993) _

Sugawara, H., Yamazaki, T., Kimura, N., Settai, R., Õnuki, Y.: Physica C 206-207, 196 (1995)

Goshima, H., Suzuki, T., Fujita, T., Hedo, M., Nakama, T., Yagasaki, K.: Physica C 206-207, 193 (1995)

Kadowaki, K., Hirata, K., Takeya, H.: (preprint 1995)

Isino, M., Kobayashi, T., Toyota, N., Fukase, T., Muto, Y.: Phys. Rev. B 38, 4457 (1988)

Uehara, M.: (private communication)

The large susceptibilities of the u-based compounds mag indicate substantial, if not dominating, orbital contributions. The astonishing discrepancy between the Zeeman and condensation energies in the case of UBe13 is related to the highly unusual H c2(T) behavior of this compound [16]

Thomas, F., Wand, B., Luhmann, T., Gegenwart, P., Stewart, G.R., Steglich, F., Brison, J.P., Buzdin, A.I., Glemot, L., Flouquet, J.: J. Low Temp. Phys. (in press)

Geibel, C., Schank, C., Thies, S., Kitazawa, H., Bredl, C.D., Bbhm, C.D., Rau, M., Grauel, A., Caspary, R., Helfrich, R., Ahlheim, U., Weber, G., Steglich, F.: Z. Phys. B 84, (1991)

Steglich, F., Ahlheim, U., Bbhm, C.D., Bredl, C.D., Caspary, R., Geibel, C., Grauel, A., Helfrich, R., Kbhler, R., Lang, M., Mehner, A., Modler, R., Schank, C., Wassilew, C., Weber, G., Assmus, W., Sato, N., Komatsubara, T.: Physica C 185-189, 379 (1991)

gCspin corresponds to - 2.10−3 emu/mole characterizing the "superconducting 5f subsystem": Feyerherm R., Amato, A., Gygax, F.N., Schenk, A., Geibel, C., Steglich, F., Sato, N., Komatsubara, T.: Phys. Rev. Lett. 73, 1849 (1994)

Steglich, F., Modler, R., Gegenwart, P., Deppe, M., Weiden, M., Lang, M., Geibel, C., Luhmann, T., Paulsen, P., Tholence, J.L., Onuki, Y., Tachiki, M., Takahashi, S.: Physica C (in press)

γo = 115 mJ/K2 mol, characterizing the "superconducting 5f subsystem" has been used: Caspary, R., Hellmann, P., Keller, M., Sparn, G., Wassilew, C., Kbhler, R., Weber, G., Geibel, C., Schank, C., Steglich, F., Phillips, N.E.: Phys. Rev. Lett. 71, 2146 (1993)

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Koziol, Z.: Ph.D. Thesis, Amsterdam (1994) (unpublished)

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Geibel, C., Thies, S., Kaczorowski, Grauel, A., Seidel, A., Ahlheim, U., Helfrich, R., Petersen, K., Bredl, C.D., Steglich, F.: Z. Phys. B 83, 305 (1991); x, has been estimated by an extrapolation of the normal-state susceptibility below TN to T ->0

Dalichaouch, Y., de Andrade, M.C., Maple, M.B.: Phys. Rev. B 46, 8671 (1992)

Burkhardt, H., Rainer, D.: Ann. Phys. 3, 181 (1994)

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Note that a differs from αGG in [34] α/αGG = (2ɛ2+γ)−1

Machida, K. and Nakanishi, H.: Phys. Rev. B 30, 122 (1995)

Burkhardt and Rainer [33] have shown in their two-dimensional model the transition from the FFLO state to the uniform superconducting state is of second order. The presence of the vortices suppresses the mixing of the higher harmonics of the order parameter in the GFFLO state. The suppression makes the phase transition from the GFFLO state to the pure vortex state to be of first order

In Figs. 4-7, a = 1, and a = 2, respectively, were chosen in order to enlarge the field range of the GFFLO state

Lühmann, T., Gegenwart, P., Reinders, P.H., Geibel, C., Steglich, F., Paulsen, C., Tholence, J.L.: Physica C 235-240, 95 (1994)

Steglich, F., Geibel, C., Gloos, K., Hellmann, P., Köhler, R., Lang, M., Modler, R., Schank, C.: Physica C 235-240, 95 (1994)

Ishiguro, A., Sawada, A., Kimura, J., Suzuki, M., Sato, N., Komatsubara, T.: J. Phys. Soc. Jpn. 64, 378 (1995)

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Modler, R., Lang, M., Geibel, C., Schank, C., Steglich, F.: Physica B199-200, 145 (1994)

Gegenwart, P.: Diploma Thesis, TH Darmstadt (1994) (unpublished)

Modler, R.: Dissertation, TH Darmstadt (1995) (unpublished)

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Hedo, M., Inada, Y., Ishida, T., Yamamoto, E., Haga, Y., Onuki, Y., Higuchi, M., Hasegawa, A. J. Phys. Soc. Jpn. (submitted for publication)

Sandratskii, L.M., Kübler, J., Zahn, P., Mertig, L: Phys. Rev. B 50, 15834 (1995)

Yanase, A.: J. Phys. F.: Met. Phys. 16, 1501 (1986)

We can show, in the strong paramagnetic limit of a >∞, that the phase transition at H c2 is of first order in the temperature range of 0.1317 < T/T c, < 0.5615. Our calculation shows that in a two-dimensional system the phase transition at H c2 is of second order in the whole temperature range below T c, which is consistent with the result of [33]

Matsuo, S., Shimahara, H., Nagai, K.: J. Phys. Soc. Jpn. 64, 371 (1995)