Study of pressure effect on the magnetic penetration depth in MgB$_2$
D. Di Castro, R. Khasanov, C. Grimaldi, J. Karpinski, S.M. Kazakov,, and H. Keller

TL;DR
This study investigates how pressure influences the magnetic penetration depth in MgB$_2$, revealing minimal effects compared to cuprates and suggesting electron-phonon interactions as the main factor.
Contribution
It provides experimental data on pressure effects on MgB$_2$'s penetration depth and highlights the dominant role of electron-phonon interactions in this context.
Findings
Pressure causes only slight change in $rac{ riangle \lambda^{-2}}{\lambda^{-2}}$ (~1.5%)
Contrasts with cuprates where pressure significantly affects $\lambda^{-2}$
Electron-phonon interaction primarily explains pressure effects in MgB$_2$
Abstract
A study of the pressure effect on the magnetic penetration depth in polycrystalline MgB was performed by measuring the temperature dependence of the magnetization under an applied pressure of 0.15 and 1.13 GPa. We found that at low temperature is only slightly affected by pressure [], in contrast to cuprate superconductors, where, in the same range of pressure, a very large effect on was found. Theoretical estimates indicate that most of the pressure effect on in MgB arises from the electron-phonon interaction.
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