# 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}
}
• A. Levchenko
• Published 28 January 2010
• Physics
• Physical Review B
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

## Figures from this paper

Temperature Dependence of the Anomalous Hall Effect from Electron Interactions.
• Physics, Medicine
Physical review letters
• 2020
The importance of electron interactions in the Cooper channel even for nominally non-superconducting materials is demonstrated and the corresponding low-temperature dependence of the anomalous Hall conductivity is found to be asymptotically of the form sqrt[T]/ln(T_{0}/T) in three dimensions and ln[ln( t)/T)] in two dimensions.
Anomalous mesoscopic kinetics in disordered superconductors
• Physics
Physical Review B
• 2019
We study anomalous mesoscopic transport effects at the onset of superconducting transition focusing on the observed large Nernst-Ettinghausen signal in disordered thin films. In the vicinity of
The Wiedemann Franz law in a normal metal superconductor junction
• Physics
• 2011
In this paper the influence of superconducting correlations on the thermal and charge conductances in a normal metal—superconductor (NS) junction in the clean limit is studied theoretically. First we
Biomolecular imaging with coherent nonlinear vibrational microscopy.
• Chemistry, Medicine
Annual review of physical chemistry
• 2013
The molecular contrast of SFG and CRS microscopy is discussed and several of the advanced imaging capabilities that have impacted biological and biomedical research are highlighted.

## References

SHOWING 1-10 OF 15 REFERENCES
Interaction corrections to tunneling conductance in ballistic superconductors
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.
• Reizer
• Physics, Medicine
Physical 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
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.
• Reizer
• Materials Science, Medicine
Physical 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, Medicine
Physical 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