Breakdown of the Mean Field Theory in the Superconducting Transition Region

Hurault, J.P.; Maki, Kazumi

doi:10.1103/physrevb.2.2560

Cited by 29 publications

(28 citation statements)

References 22 publications

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“…We could argue that (5) is the definition of our model, and statistical mechanics should be applicable to any model, whether it exists in nature or not. But identification of the expressions in (8) and (9) with the electric field and the current are a matter of interpretation. These quantities equal the electric field and the current only in the continuum limit; for the small numbers of segments we have considered, they are just approximations.…”

Section: Discussionmentioning

confidence: 98%

“…We are not concerned on how well (5) describes a real superconductor, as long as it can be regarded as a legitimate self-consistent model. It is customary [6][7][8][9][10] to regard the vector space of the order parameter as the appropriate space for statistical averaging. Since the transformation (3) is just a rotation in this space, the vector space ofψ can be used as well.…”

Section: The Energy Functionmentioning

confidence: 99%

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A Nonconventional Scenario for Thermal Equilibrium

Berger

2007

Found Phys

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Section: Discussionmentioning

confidence: 98%

Section: The Energy Functionmentioning

confidence: 99%

A Nonconventional Scenario for Thermal Equilibrium

Berger

2007

Found Phys

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“…[35] superconducting state with T c T * c was found to survive in the localized regime, δ ξ > T * c , due to Mott-type rare configurations. Within plain perturbation theory the average density of states near T c is strongly affected by Cooper channel attraction [64][65][66]. These classical results can be extended to incorporate the renormalization group flow near the non-interacting critical point [42].…”

Section: Pacsmentioning

confidence: 99%

Mesoscopic fluctuations of the local density of states in interacting electron systems

2017

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We review our recent theoretical results for mesoscopic fluctuations of the local density of states in the presence of electron-electron interaction. We focus on the two specific cases: (i) a vicinity of interacting critical point corresponding to Anderson-Mott transition, and (ii) a vicinity of non-interacting critical point in the presence of a weak electron-electron attraction. In both cases strong mesoscopic fluctuations of the local density of states exist. PACS:Introduction. -Since the seminal paper by P.W. Anderson [1] a study of the localization-delocalization quantum phase transition in noninteracting disordered systems has turned into a vast field of research (see Refs. [2, 3] for a review). As any other quantum phase transitions, Anderson transition is characterized by a set of critical exponents which controls the scaling of a divergent correlation length and different physical observables. However, contrary to ordinary quantum phase transitions, for an Anderson transition there is the additional set of critical exponents ∆

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“…(2), for the excess conductivity with a temperature dependent pair-breaking parameter 6 given by 14.…”

Section: Corrections To the Pair Vertex Functionmentioning

confidence: 99%

Fluctuation-Induced Conductivity of Superconductors above the Transition Temperature: Regularization of the Maki Diagram

Keller

Korenman

1972

Phys. Rev. B

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The Maki contribution to the conductivity above the superconducting transition temperature is regularized within the framework of the BCS theory. This is achieved through the renormalization of the impurity scattering vertex by inclusion of the effects of pair fluctuations.The conductivity is evaluated for a thin film. It depends only on the reduced temperature and the normal resistance per square. Fair agreement is found with Al films over a wide temperature range. Agreement is not found with experiments on Bi, Pb and Ga films, which apparently contain a strong additional pair-breaking effect. The temperature range in which interactions among fluctuations become important in the Maki conductivity is generally larger than that given by the Ginzburg criterion.

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Breakdown of the Mean Field Theory in the Superconducting Transition Region

Cited by 29 publications

References 22 publications

A Nonconventional Scenario for Thermal Equilibrium

A Nonconventional Scenario for Thermal Equilibrium

Mesoscopic fluctuations of the local density of states in interacting electron systems

Fluctuation-Induced Conductivity of Superconductors above the Transition Temperature: Regularization of the Maki Diagram

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