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Prog. Theor. Phys. Vol. 44 No. 6 (1970) pp. 1450-1471

[ Full Text PDF : FREE ACCESS (1522K) ]

Linear Response Theory in the Vortex State of Dirty Type-II Superconductors

Hajime Takayama and Hiromichi Ebisawa

Department of Physics, University of Tokyo, Tokyo

(Received August 4, 1970)

Abstract:

The vortex motion and the flux flow resistivity in dirty type-II superconductors are reexamined from the point of view of the linear response theory with respect to the applied electric field. A time dependent Ginzburg-Landau equation for the order parameter is different from that given by Caroli and Maki. The ordering of non-commutative operators should have been improper in their work. The time dependent order parameter shows the uniform flux flow. The resistivity is calculated in the gauge invariant way. It has a temperature dependence different from that by Caroli and Maki. Other transport coefficients in the vortex state are also reexamined. Thermal conductivity and the thermomagnetic coefficient agree with the result by Caroli and Maki, but the Hall coefficient does not. The microwave surface resistance, calculated numerically, is in agreement with the experiment by Fischer et al.


URL : http://ptp.ipap.jp/link?PTP/44/1450/
DOI : 10.1143/PTP.44.1450

[ Full Text PDF : FREE ACCESS (1522K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 73 (2004) pp. 21-24 :
    Theory of Flux-Flow Resistivity near Hc2 for s-Wave Type-II Superconductors
    Takafumi Kita
  2. Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1009-1015 :
    Thermomagnetic Effect above the Superconducting Transition
    Kazumi Maki
  3. Progress of Theoretical Physics Vol. 46 No. 1 (1971) pp. 1-14 :
    Superconducting Fluctuation Effects on the S-I-N Junction Current
    Hajime Takayama
  4. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1042-1053 :
    Wave Character of the Time Dependent Ginzburg Landau Equation and the Fluctuating Pair Propagator in Superconductors
    Hiromichi Ebisawa and Hidetoshi Fukuyama
  5. Progress of Theoretical Physics Vol. 46 No. 6 (1971) pp. 1651-1665 :
    Thermodynamic Fluctuation of the Order Parameter in the Vortex State of Type II Superconductors
    Kazumi Maki and Hajime Takayama

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