Dynamic Critical Fluctuation of Superconductivity Order Parameter above the Transition Point | Zendy

Toshio Tsuzuki | Zendy

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Dynamic Critical Fluctuation of Superconductivity Order Parameter above the Transition Point

Author(s) -

Toshio Tsuzuki

Publication year - 1969

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.41.296

Subject(s) - physics , condensed matter physics , superconductivity , correlation function (quantum field theory) , inverse , critical point (mathematics) , curse of dimensionality , critical field , mean free path , transition point , transition temperature , diffusion , mean field theory , electron , thermodynamics , quantum mechanics , mathematical analysis , statistics , mathematics , geometry , dielectric

Dynamic correlation function of fluctuation field in a dirty superconductor is investigated above the transition point. . It is determined self-consistently in the critical range of temperature where the mean field theory breaks down and interactions among fluctuation modes must be taken into account. Correlation function is of diffusional type with a diffusion constant which becomes singular as (T/Tc-1)1-(4Id) where dis dimensionality. The inverse correlation lengtb is proportional to (T/T(!-1)2Id and is independent of mean free path of electron. , Electrical conductivity of a bulk system in the critical range contains a term which in creases like (T/Tc-l) -1/3 and which is independent of mean free path. However in a case of a film system a problem arises.

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