# Transport theory of superconductors with singular interaction corrections

@article{Levchenko2010TransportTO, title={Transport theory of superconductors with singular interaction corrections}, author={Alexander Alexeevich Levchenko}, journal={Physical Review B}, year={2010}, volume={81}, pages={012507} }

We study effects of strong fluctuations on the transport properties of superconductors near the classical critical point. In this regime conductivity is set by the delicate interplay of two competing effects. The first is that strong electron-electron interactions in the Cooper channel increase the lifetime of fluctuation Cooper pairs and thus enhance conductivity. On the other hand, quantum pair-breaking effects tend to suppress superconductivity. An interplay between these processes defines…

## 6 Citations

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## References

SHOWING 1-10 OF 15 REFERENCES

Interaction corrections to tunneling conductance in ballistic superconductors

- Physics, Materials Science
- 2010

It is known that in the two-dimensional disordered superconductors electron-electron interactions in the Cooper channel lead to the negative logarithmical in temperature correction to the tunneling…

Fluctuation conductivity above the superconducting transition: Regularization of the Maki-Thompson term.

- Physics, MedicinePhysical review. B, Condensed matter
- 1992

The essential point of the calculations is that the electron phase-relaxation rate due to the electron-electron interaction in the Cooper channel is a singular function of the electron frequency.

Nonlinear fluctuation phenomena in the transport properties of superconductors

- Physics
- 2000

AbstractThere exists a wide temperature region
$$(GiT < T - T_c < T\sqrt {Gi} )$$
where the influence of fluctuations on the thermodynamic properties of superconductors can be taken into account in…

Magnetoconductivity of low-dimensional disordered conductors at the onset of the superconducting transition

- Physics
- 2009

Magnetoconductivity of the disordered two- and three-dimensional superconductors is addressed at the onset of superconducting transition. In this regime transport is dominated by the fluctuation…

EFFECT OF FLUCTUATIONS ON ELECTRONIC PROPERTIES ABOVE THE SUPERCONDUCTING TRANSITION.

- Physics
- 1970

A calculation of the microscopic effects of the fluctuations of the superconducting order parameter in the classical region above ${T}_{c}$ on the electron Green's function in dirty materials is…

Quantum-fluctuation effects on the tunneling conductivity above the superconducting transition.

- Materials Science, MedicinePhysical review. B, Condensed matter
- 1993

A new energy scale appears as a result of the quantum-fluctuation effects, which leads to a peculiar temperature and magnetic-field dependence of the tunneling conductivity close to the transition.

Inelastic scattering time above the superconductivity transition in two dimensions: Dependence on disorder and magnetic field.

- Physics, MedicinePhysical review. B, Condensed matter
- 1985

We calculate the effect of superconducting fluctuations above ${T}_{c}$ on the inelastic scattering time, 1/${\ensuremath{\tau}}_{\ensuremath{\epsilon}}$, in two dimensions in the presence of the…

Keldysh Ginzburg-Landau action of fluctuating superconductors

- Physics
- 2007

We derive Ginzburg-Landau action by systematically integrating out electronic degrees of freedom in the framework of the Keldysh nonlinear $\ensuremath{\sigma}$-model of disordered superconductors.…

Theory of fluctuations in superconductors

- Physics
- 2005

PHENOMENOLOGY OF FLUCTUATIONS: GINZBURG-LANDAU FORMALISM 1. Introduction 2. Fluctuation thermodynamics 3. Fluctuation transport 4. Fluctuations in vortex structures BASIC NOTIONS OF THE MICROSCOPIC…

Keldysh technique and non-linear σ-model: basic principles and applications

- Physics
- 2009

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a…