# Structure and superconductivity in the binary Re$_{1-x}$Mo$_x$ alloys

## TL;DR

This study synthesizes and characterizes Re$_{1-x}$Mo$_x$ alloys, revealing their complex phase diagram, superconducting properties, and potential for exploring symmetry-breaking phenomena in superconductivity.

## Contribution

It provides a comprehensive investigation of the crystal structures and superconducting behavior across the full Re$_{1-x}$Mo$_x$ phase diagram, highlighting new insights into electron-phonon coupling and symmetry considerations.

## Key findings

- Alloys are superconducting with critical temperatures higher than pure Re and Mo.
- The phase diagram includes four distinct crystal structures with varying symmetry.
- Superconducting state is fully gapped with evidence of moderate electron-phonon coupling.

## Abstract

The binary Re$_{1-x}$Mo$_x$ alloys, known to cover the full range of solid solutions, were successfully synthesized and their crystal structures and physical properties investigated via powder x-ray diffraction, electrical resistivity, magnetic susceptibility, and heat capacity. By varying the Re/Mo ratio we explore the full Re$_{1-x}$Mo$_x$ binary phase diagram, in all its four different solid phases: hcp-Mg ($P6_3/mmc$), $\alpha$-Mn ($I\overline{4}3m$), $\beta$-CrFe ($P4_2/mnm$), and bcc-W ($Im\overline{3}m$), of which the second is non-centrosymmetric with the rest being centrosymmetric. All Re$_{1-x}$Mo$_x$ alloys are superconductors, whose critical temperatures exhibit a peculiar phase diagram, characterized by three different superconducting regions. In most alloys the $T_c$ is almost an order of magnitude higher than in pure Re and Mo. Low-temperature electronic specific-heat data evidence a fully-gapped superconducting state, whose enhanced gap magnitude and specific-heat discontinuity suggest a moderately strong electron-phonon coupling across the series. Considering that several $\alpha$-Mn-type Re$T$ alloys ($T$ = transition metal) show time-reversal symmetry breaking (TRSB) in the superconducting state, while TRS is preserved in the isostructural Mg$_{10}$Ir$_{19}$B$_{16}$ or Nb$_{0.5}$Os$_{0.5}$, the Re$_{1-x}$Mo$_x$ alloys represent another suitable system for studying the interplay of space-inversion, gauge, and time-reversal symmetries in future experiments expected to probe TRSB in the Re$T$ family.