Structural phases of elemental Gallium: universal relations in type-I superconductors

Abstract

The temperature dependent measurements of the thermodynamic critical field and the specific heat for the pressure stabilized Ga-II phase of elemental Gallium are presented. The discussion of these and other Ga phases data in the context of elemental and binary phonon-mediated type-I superconductors allowed to establish simple scaling relations between BCS quantities such as $B_{\mathrm{c}}(0)/T_{\mathrm{c}}\sqrt{{\gamma }_{\mathrm{e}}}$ and the specific heat jump at $T_{\mathrm{c}}$ versus the coupling strength $2\Delta /k_{\mathrm{B}}{T}_{\mathrm{c}}$ [$\Delta$ and $B_{\mathrm{c}}(0)$ are the zero-temperature values of the superconducting energy gap and the thermodynamic critical field, respectively, $T_{\mathrm{c}}$ is the transition temperature, and ${\gamma }_{\mathrm{e}}$ is the electronic specific heat]. The scaling relations can be analytically expressed by taking into account strong-coupling corrections to BCS theory. Such correlations can naturally explain the linear relation between $B_{\mathrm{c}}(0)$ and $T_{\mathrm{c}}$, which holds for type-I superconducting materials.

arXiv comment6 pages, 3 figures

References in corpus (35)

• Superconductivity in Iron Compounds
• Phenomenological two-gap model for the specific heat of MgB_2
• Universal scaling relation in high-temperature superconductors
• Field and Temperature Dependence of the Superfluid Density in LaO_{1-x}F_xFeAs Superconductors: A Muon Spin Relaxation Study
• Experimental evidence for bulk superconductivity in pure Bismuth single crystal at ambient pressure
• Specific heat jump at the superconducting transition temperature in Ba(Fe(1-x)Cox)2As2 and Ba(Fe(1-x)Nix)2As2 single crystals
• Possible topologically non-trivial superconducting order parameter in type-II Weyl semimetal T_d-MoTe_2
• Elaboration of the alpha-Model Derived from the BCS Theory of Superconductivity
• Superconductivity coexisting with phase-separated static magnetic order in (Ba,K)Fe${}_2$As${}_2$, (Sr,Na)Fe${}_2$As${}_2$ and CaFe${}_2$As${}_2$
• Evolution of two-gap behavior of the superconductor FeSe_1-x
• Muon-spin rotation studies of SmFeAsO_0.85 and NdFeAsO_0.85 superconductors
• Type I superconductivity in the Dirac semimetal PdTe2
• High pressure research using muons at the Paul Scherrer Institute
• Superconductivity in the elements, alloys and simple compounds
• Pair-breaking in iron-pnictides
• The specific heat jump at the superconducting transition and the quantum critical nature of the normal state of Pnictide superconductors
• Muon-Spin-Rotation Measurements of the Penetration Depth in the Infinite-Layer Electron-Doped Cuprate Superconductor Sr0.9La0.1CuO2
• Enhancement of Superfluid Stiffness, Suppression of Superconducting T_c and Field-induced Magnetism in the Pnictide Superconductor LiFeAs
• Nodeless Superconductivity and its Evolution with Pressure in the Layered Dirac Semimetal 2M-WS_2
• Pressure-induced electronic phase separation of magnetism and superconductivity in CrAs
• Universal scaling relations in molecular superconductors
• A low-background piston-cylinder type hybrid high pressure cell for muon-spin rotation/relaxation experiments
• Type-I superconductivity in noncentrosymmetric superconductor AuBe
• muSR and Magnetometry Study of the Type-I Superconductor BeAu
• Specific Heat Discontinuity DeltaC vs Tc in Annealed Ba(Fe1-xCox)2As2
• Specific Heat Discontinuity, deltaC, at Tc in BaFe2(As0.7P0.3)2 - Consistent with Unconventional Superconductivity
• Raising the superconducting $T_{\mathrm{c}}$ of gallium: in-situ characterization of the transformation of $\alpha$-Ga into $\beta$-Ga
• Type-I superconductivity in Al${}_6$Re
• Nodeless superconductivity in the infinite-layer electron-doped Sr_0.9La_0.1CuO_2 cuprate superconductor
• Heat capacity jump at T_c and pressure derivatives of superconducting transition temperature in the Ba(1-x)NaxFe2As2 (0.1 <= x <= 0.9) series
• Muon spin rotation study of type-I superconductivity: elemental $\beta -$Sn
• On the superconducting nature of the Bi-II phase of elemental Bismuth
• Universal Scaling Law for the Condensation Energy, U, Across a Broad Range of Superconductor Classes
• Correlation between the transition temperature and the superfluid density in BCS superconductor NbB_2+x
• Universal Correlation between Critical Temperature of Superconductivity and band structure features

Cited by in corpus (11)

• Perspective on the muon-spin rotation/relaxation under hydrostatic pressure
• Multiple-gap response of type-I noncentrosymmetric BeAu superconductor
• The single- vs. two-gap scenario: the specific heat and the thermodynamic critical field of BeAu superconductor
• Superconductivity of $\beta$-Gallium
• Anomalous gap ratio in anisotropic superconductors: aluminum under pressure
• Isotropic single gap superconductivity of elemental Pb: the `smiling' approach
• Pressure weakens coupling strength in In and Sn elemental superconductors
• Three-wall piston-cylinder type pressure cell for muon-spin rotation/relaxation experiments
• Structural and superconducting parameters of highly compressed sulfur
• Influence of pressure on properties of multi-gap type-I superconductor BeAu
• Thermodynamic evidence for a pressure-driven crossover from strong- to weak-coupling superconductivity in Pb