The role of carbon for superconductivity in MgC$_{x}$Ni$_{3}$ from specific heat
A. W\"alte, G. Fuchs, K.-H. M\"uller, S.-L. Drechsler, K. Nenkov, L., Schultz

TL;DR
This study investigates how carbon deficiency affects superconductivity in MgCNi$_{3}$ by analyzing specific heat data, revealing changes in lattice vibrations and electron-phonon interactions.
Contribution
It introduces a computer code for detailed analysis of lattice dynamics and links carbon deficiency to modifications in electron-phonon coupling in MgCNi$_{3}$.
Findings
Carbon deficiency alters Ni vibrational modes.
Electron-phonon coupling decreases with carbon loss.
Strong electron-phonon coupling and spin fluctuations are confirmed.
Abstract
The influence of carbon deficiency on superconductivity of MgCNi is investigated by specific heat measurements in the normal and superconducting state. In order to perform a detailed analysis of the normal state specific heat, a computer code is developed which allows for an instantaneous estimate of the main features of the lattice dynamics. By analyzing the evolution of the lattice vibrations within the series and simultaneously considering the visible mass enhancement, the loss in the electron-phonon coupling can be attributed to significant changes of the prominent Ni vibrations. The present data well supports the recently established picture of strong electron-phonon coupling and ferromagnetic spin fluctuations in this compound.
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