Muon spin rotation study of type-I superconductivity: elemental $\beta -$Sn

Abstract

The application of the muon-spin rotation/relaxation ($\mu$SR) technique for studying type-I superconductivity is discussed. In the intermediate state, i.e. when a type-I superconducting sample with non-zero demagnetization factor $N$ is separated into normal state and Meissner state (superconducting) domains, the $\mu$SR technique allows to determine with very high precision the value of the thermodynamic critical field $B_{\mathrm{c}}$, as well as the volume of the sample in the normal and the superconducting state. Due to the microscopic nature of $\mu$SR technique, the $B_{\mathrm{c}}$ values are determined directly via measurements of the internal field inside the normal state domains. No assumptions or introduction of any type of measurement criteria are needed. Experiments performed on a 'classical' type-I superconductor, a cylindrically shaped $\beta -$Sn sample, allowed to reconstruct the full $B-T$ phase diagram. The zero-temperature value of the thermodynamic critical field $B_{\mathrm{c}}(0)=30.578(6)$ mT and the transition temperature $T_{\mathrm{c}}=3.717(3)$ K were determined and found to be in a good agreement with the literature data. An experimentally obtained demagnetization factor is in very good agreement with theoretical calculations of the demagnetization factor of a finite cylinder. The analysis of $B_{\mathrm{c}}(T)$ dependence within the framework of the phenomenological $\alpha -$model allow to obtain the value of the superconducting energy gap $\Delta =0.59(1)$ meV, of the electronic specific heat ${\gamma }_e=1.781(3)$ $\mathrm{mJ}/\mathrm{mol}{\mathrm{K}}^2$ and of the jump in the heat capacity $\Delta C(T_c)/\gamma T_{\mathrm{c}}=1.55(2)$.

14 pages, 15 pictures

References in corpus (12)

• Magnetic Penetration Depth in Unconventional Superconductors
• Evidence for complex order parameter in La_{1.83}Sr_{0.17}CuO_4
• Interplay of Rare Earth and Iron magnetism in RFeAsO with R = La, Ce, Pr, and Sm: A muon spin relaxation study and symmetry analysis
• The Suprafroth (Superconducting Froth)
• Quantum states of muons in fluorides
• Understanding the $\mu$SR spectra of MnSi without magnetic polarons
• muSR and Magnetometry Study of the Type-I Superconductor BeAu
• Type-I superconductivity in noncentrosymmetric superconductor AuBe
• SrPt${}_3$P: two-band single-gap superconductor
• On the superconducting nature of the Bi-II phase of elemental Bismuth
• Anisotropy induced vortex lattice rearrangement in CaKFe${}_4$As${}_4$
• Dynamic Formation of Metastable Intermediate State Patterns in Type-I Superconductors

Cited by in corpus (5)

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• Anomalous gap ratio in anisotropic superconductors: aluminum under pressure
• Isotropic single gap superconductivity of elemental Pb: the `smiling' approach
• Heat capacity of type I superconductivity in the Dirac semimetal PdTe${}_2$