Impact of $e-e$ interactions on the superfluid density of dirty superconductors

Abstract

Landau's theory of the Fermi liquid is adapted to analyze the impact of electron-electron ($e-e$) interactions on the deficit of the superfluid density ${\rho }_{s0}={\rho }_s(T=0)$ in dirty superconducting electron systems in which the damping $\gamma$ of single-particle excitations exceeds the zero temperature BCS gap ${\Delta }_0$. In the dirty strong-coupling limit $\gamma /{\Delta }_0\gg 1,m^{\ast }/m_e\gg 1$, the formula derived for ${\rho }_{s0}$ is shown to coincide with the well-known empirical Uemura relation provided pair-breaking contributions are nonexistent. The roles of the crystal lattice and magnetic pair-breaking effects in the observed decline of the zero-temperature superfluid density ${\rho }_{s0}$ in overdoped LSCO compounds are also discussed. Our method is also applied to elucidation of results from the pioneering experimental studies performed recently by Bozovic and collaborators in overdoped LSCO compounds.

9 pages, 1 figure

References in corpus (15)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Tuning superconductivity in twisted bilayer graphene
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Pressure dependence of the magic twist angle in graphene superlattices
• Thermodynamic signatures of quantum criticality in cuprates
• Graphite, graphene and the flat band superconductivity
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Three-Dimensional Fermi Surface of Overdoped La-Based Cuprates
• Locating the missing superconducting electrons in overdoped cuprates
• Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
• Optical conductivity of overdoped cuprate superconductors: application to LSCO
• Superconducting Sweet-Spot in Microcrystalline Graphite Revealed by Point-Contact Spectroscopy
• Toward a topological scenario for high-temperature superconductivity of copper oxides

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• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Relativistic Ginzburg-Landau equation: An investigation for overdoped cuprate films
• Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach
• Superconducting quantum criticality and the anomalous scaling: A nonlinear relativistic equation
• Scaling behavior of superconductors