Thermodynamic properties of the Dynes superconductors

Abstract

The tunneling density of states in dirty superconductors is often well described by the phenomenological Dynes formula. Recently we have shown that this formula can be derived, within the coherent potential approximation, for superconductors with simultaneously present pair-conserving and pair-breaking impurity scattering. Here we demonstrate that the theory of such so-called Dynes superconductors is thermodynamically consistent. We calculate the specific heat and critical field of the Dynes superconductors, and we show that their gap parameter, specific heat, critical field, and penetration depth exhibit power-law scaling with temperature in the low-temperature limit. We also show that, in the vicinity of a coupling constant-controlled superconductor to normal metal transition, the Homes law is replaced by a different, pair-breaking dominated scaling law.

arXiv comment9 pages, 2 figures

References in corpus (11)

• Point nodes persisting far beyond Tc in Bi2212
• The Origin and Non-quasiparticle Nature of Fermi Arcs in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Microscopic interpretation of the Dynes formula for the tunneling density of states
• Homes scaling and BCS
• Fermionic scenario for the destruction of superconductivity in ultrathin MoC films evidenced by STM measurements
• London Penetration Depth and Pair Breaking
• Electromagnetic properties of impure superconductors with pair-breaking processes
• Superconducting Energy Scales and Anomalous Dissipative Conductivity in Thin Films of Molybdenum Nitride
• Tail States in Disordered Superconductors with Magnetic Impurities: the Unitarity Limit
• Consistent two-lifetime model for spectral functions of superconductors
• Sharp low energy feature in single-particle spectra due to forward scattering in $d$-wave cuprate superconductors

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• Dissipative conductivity of a dirty superconductor with Dynes subgap states under a dc bias current up to the depairing current density
• Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
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• Spectral fingerprints of the non-linear dynamics of driven superconductors with dissipation
• Superconductivity in La${}_2$Ni${}_2$In
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• Optical and transport properties of NbN thin films revisited
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• Quasiparticle spectroscopy in technologically-relevant niobium using London penetration depth measurements
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• Detailed Analysis of the Superconducting Gap with Dynes Pair-Breaking Scattering
• Advanced approach of superconducting gap function extraction from tunneling experiments
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• Local Limit Disorder Characteristics of Superconducting Radio Frequency Cavities