Abstract
We investigate two-band superconductivity in ultrasmall grain. The Richardson’s exact solution is extended to two-band systems, and a new coupled equation is derived according to the procedure of Richardson’s works. Parity gap and condensation energy of ultrasmall two-band superconducting grain are numerically obtained by solving the coupled equations. We discuss these properties in ultrasmall grain in relation to the correlation, interband interaction, and size dependence.
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References
Anderson, P. W., (1959) J. Phys. Chem. Solids 11, 28.
Black, C. T., Ralph, D. C., and Tinkham, M., (1996) Phys. Rev. Lett. 76, 688.
Braun, F. and von Delft, J., (1998) Phys. Rev. Lett. 81, 4712.
Braun, F. and von Delft, J., (1999) Adv. Sol. State Phys. 39, 341.
Combescot, R. and Leyronas, X., (1995) Phys. Rev. Lett. 75, 3732.
von Delft, J., Zaikin, A. D., Golubev, D. S., and Tichy, W., (1996) Phys. Rev. Lett. 77, 3189.
von Delft, J. and Braun, F, (1999) Phys. Rev. B 59, 9527.
Gladilin, V. N., Fomin, V. M., and Devreese, J. T., (2002) Solid Sate Comm. 121, 519.
Jankó, B., Smith, A., and Ambegaokar, V., (1994) Phys. Rev. B 50, 1152.
Kondo, J., (1963) Prog. Theor. Phys. 29, 1.
Kondo, J., (2001) J. Phys. Soc. Jpn. 70, 808.
Kondo, J., (2002) J. Phys. Soc. Jpn. 71, 1353.
Konsin, P., Kristoffel, N., and Örd, T., (1988) Phys. Lett. A 129, 339.
Konsin, P., Sorkin, B., (1998) Phys, Rev. B, 58, 5795.
Matveev, K. A. and Larkin, A. I., (1997) Phys. Rev. Lett. 78, 3749.
Moskalenko, V. A., (1959) Fiz. Met. Metalloved 8, 503.
Nagamatsu, J., Nakamura, N., Muranaka, T., Zentani, Y., and Akimitsu, J., (2001) Nature 410, 63.
Nagao, H., Nishino, M., Mitani, M., Yoshioka, Y, and Yamaguchi, K., (1997) Int. J. Quantum Chem. 65, 947.
Nagao, H., Mitani, M., Nishino, M., Shigeta, Y, Yoshioka, Y, and Yamaguchi, K., (1998) Int. J. Quantum Chem. 70, 1075.
Nagao, H., Mitani, M., Nishino, M., Shigeta, Y, Yoshioka, Y and Yamaguchi, K., (1999) Int. J. Quantum Chem. 75, 549.
Nagao, H., Nishino, M., Shigeta, Y, Yoshioka, Y, and Yamaguchi, K., (2000) Int. J. Quantum. Chem. 80, 721.
Nagao, H., Nishino, M., Shigeta, Y, Yoshioka, Y Yamaguchi, K., (2000) J. Chem. Phys. 113, 11237.
Nagao, H., Yaremko, A. M., Kruchinin, S. P., and Yamaguchi, K., (2002) New Trends in Superconductivity P155–165, Kluwer Academic Publishers.
Nagao, H., Kruchinin, S. P., Yaremko, A.M., and Yamaguchi, K., (2002) Int. J. Mod. Phys. B 16, 3419.
Nagao, H., Kawabe, H., Kruchinin, S. P., to be submitted to Phys. Rev. Lett.
Ralph, D. C., Black, C. T., and Tinkham, M., (1995) Phys. Rev. Lett. 74, 3241.
Richardson, R. W., (1963) Phys. Lett. 3, 277.
Richardson, R. W. and Sherman, N., (1964) Nucl. Phys. 523, 221.
Richardson, R. W., (1965) J. Math. Phys. 6, 1034.
Richardson, R. W., (1966) Phys. Rev. 141, 949.
Sierra, G., Dukelsky, J., Dussel, G. G., von Delft, J. and Braun, F., (2000) Phys. Rev. B 61, 11890.
Smith, R. A. and Ambegaokar, V., (1996) Phys. Rev. Lett. 77, 4962.
Suhl, H., Matthias, B. T., and Walker, R., (1959) Phys. Rev. Lett. 3, 552.
Yamaji, K. and Shimoi, Y, (1994) Physica C 222, 349.
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Kawabe, H., Nagao, H., Kruchinin, S.P. (2007). II.1 Magnesium diboride and the two-band scenario. In: Scharnberg, K., Kruchinin, S. (eds) Electron Correlation in New Materials and Nanosystems. NATO Science Series, vol 241. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5659-8_11
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DOI: https://doi.org/10.1007/978-1-4020-5659-8_11
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