High Field Probe of Superconducting Coupling in High-Tc Hydrides*

High magnetic fields enable direct probes of the superconducting order and vortex matter in high temperature superconductors. A combination of diamond anvil cells and pulse magnets allows us to controllably tune and probe candidate systems at the extremes of pressure-field-temperature parameter envelope. We will discuss the effective enhancement of electron-phonon coupling and renormalization of Fermi velocity in the vicinity of the observed lattice instability. Work at NHMFL-LANL was performed under the auspices of the NSF, DoE, and State of Florida.