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Prog. Theor. Phys. Vol. 66 No. 1 (1981) pp. 33-40

The Perpendicular Conductivity in Quasi-One-Dimensional Superconductors

Mitsunobu Wakata and Kiyomi Okamoto^*

Department of Physics, Faculty of Science, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152
^*Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152

(Received December 5, 1980)

Abstract:

The electrical conductivity perpendicular to the chain axis in a quasi-dimensional superconductor is calculated. The phase Hamiltonian with the interchain interaction of the Josephson type is used and the phase representation of the hopping current between chains is found. The normal conductivity behaves like T^-3+2η_, where η_=√(1+\tildea)/(1-\tildea), \tildea=\tildeg₂-\tildeg₁/2 and \tildeg₁(\tildeg₂) is the coupling constant of the backward (forward) scattering normalized by πvF. The excess conductivity calculated by the decoupling approximation behaves like ε^-1/2, where ε is the reduced temperature (T-T_c)/ T_c. This result agrees with that in the three-dimensional system.

URL : http://ptp.ipap.jp/link?PTP/66/33/
DOI : 10.1143/PTP.66.33

[ Full Text PDF : FREE ACCESS (270K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. K. Okamoto and M. Wakata, Prog. Theor. Phys. 66 (1981), 15[PTP].
2. B. D. Josephson, Superconductivity, vol. 1, ed R. D. Parks (Marcel Dekker, Inc. New York, 1969), chap. 9.
3. W. J. Skocpol and M. Tinkham, Rep. Prog. Phys. 38 (1975), 1048[IoP STACKS].
4. S. Kurihara, J. Phys. Soc. Jpn. 41 (1976), 1488[JPSJ].
5. M. Wakata, J. Phys. Soc. Jpn. 49 (1980), 862[JPSJ].
6. H. J. Schulz, Proc. 15th Int. Conf. Physics of Semiconductors, Kyoto, 1980, J. Phys. Soc. Jpn. Suppl. A 49 (1980), 861.
7. D. C. Mattis, J. Math. Phys. 15 (1974), 609[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 852-860 :

   Transition Temperatures of Quasi-One-Dimensional Conductors

   Kiyomi Okamoto

2. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1443-1459 :

   Impurity Scattering and Electrical Conductivity in a One-Dimensional Conductor

   Kiyomi Okamoto

3. Progress of Theoretical Physics Vol. 69 No. 5 (1983) pp. 1666-1668 :

   Electrical Conductivity of a Quasi-One-Dimensional Superconductor

   Kiyomi Okamoto

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