In Type II superconductors, the vortex lattice can exhibit inverse melting, transitioning from a liquid to a crystalline solid as temperature increases. While recently observed via scanning tunneling microscopy in a 20 nm thick amorphous ${\mathrm{Re}}_6\mathrm{Zr}$ thin film, this work investigates the corresponding dc transport and low-frequency magnetic screening responses. By identifying distinct signatures of these transitions and integrating scanning tunneling spectroscopy imaging, we construct a comprehensive vortex-state phase diagram in the magnetic field-temperature parameter space. Furthermore, we demonstrate that inverse melting is thickness dependent: a 5 nm film retains an inhomogeneous vortex liquid state, while a 50 nm film maintains a crystalline vortex solid structure except near the upper critical field.

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• Penetration depth
• Phase diagrams
• Superconductivity
• Vortex lattices
• Thin films
• Laser ablation
• Magnetotransport
• Scanning tunneling spectroscopy
• Superconducting RF