We report the observation of strong electron-phonon coupling in intergranular linked BiIn superconductors over an infinite range mediated by low-lying phonons. An enhanced superconducting transition temperature was observed from the magnetization, revealing a main diamagnetic Meissner state below T C (0) = 5.86(1) K and a critical field H C (0) = 1355(15) Oe with an In 2 Bi phase of the composite sample. The electron-phonon coupling to low lying phonons is found to be the leading mechanism for observed strong-coupling superconductivity in the BiIn system. Our findings suggest that In 2 Bi is in the strong-coupling region with T C (0) = 5.62(1) K, λ ep = 1.45, ω ln = 45.92 K and α = 2.23. The estimated upper critical field can be well-described by a power law with α value higher than 2, consistent with the strong electron-phonon coupling.Recently a number of electron-phonon coupled bi-and tri-metallic superconductors with enhanced superconducting transition have been discovered, renewing interest in conventional phonon-mediated superconductivity 1-4 . We consider the BiIn bimetallic system, in which Bi is a semimetal and In is a weak-coupled superconductor with transition temperature T C (0) = 3.4 K (at ambient atmosphere). When annealed together they form In 2 Bi, In 5 Bi 3 and InBi bimetallic compounds and a solid solution, α-In 5 . The reported T C (0) for single crystals of In 2 Bi and In 5 Bi 3 are 5.1 K and 4.1 K, respectively, whereas InBi is a non-superconductor down to 0.5 K. Hutcherson et al. 6 reported the two-gap superconductivity in a composite (In 2 Bi + In 5 Bi 3 ) superconductor with T C1 (0) = 5.6 K and T C2 (0) = 4.1 K. A microscopic examination of polished InBi samples revealed a heterogeneous mixture of crystal grains, except for pure crystalline phases indicating granular superconductivity. In such a system, the Josephson tunneling between superconducting grains establishes inter-granular links and results in macroscopic superconductivity 7 . However, a comprehensive study, including electron-phonon coupling strength and the enhanced T C in the InBi system, has not yet been carried out. Conventionally, BCS-Eliashberg theory showed that T C is the combined effect of electron-phonon coupling strength (λ ep ) and phonon energy (ω ln ). In this study, we present a transition of weak to strong electron-coupling superconductivity by tuning the Bi concentration in bimetallic Bi y In 1-y alloys, consisting of two superconducting gaps at y = 0.1, 0.2, 0.6, and 0.7 and a single gap at y = 0.01, 0.2, 0.3, 0.4 and 0.5, respectively. The enhancement of T C (0) = 5.62(1) K was observed at y = 0.3, led by low lying phonons that can be well described by using Allen and Dynes' theory 2 .
ResultsCrystal structure analysis of BiIn alloy. Figure 1(a) presents the typical EDS spectra, showing a series of elemental Bi and In constituents that can be assigned to Bi-Ma 1 , In-Lα 1 , In-Lβ 1 , and In-Lβ 2 , respectively. The small peaks of C and Cu were the result of the carbon film on the Cu grid from mounting ...