Abstract
Recent synthesis of ${\mathrm{Li}}_{2x}{\mathrm{BC}}_{3}$, pseudoisostructural to ${\mathrm{MgB}}_{2}$, has been reported, with control of doping level by concentration $x$ of Li. Density-functional calculations based on the virtual crystal approximation confirm metalization over a wide range of Li concentration but predict regions of structural instability. The electron-phonon coupling strength and superconducting critical temperature ${T}_{c}$ around $x=0.5$ is found to be comparable to that in ${\mathrm{MgB}}_{2}$, but of different character, accounting for the unexpected result that a stronger bond-stretch mode and a higher B--C ${\mathrm{E}}_{g}$ mode frequency results in little increase in ${T}_{c}$. The B--C honeycomb layer contributes strong $\ensuremath{\sigma}$-bonding (${p}_{x},{p}_{y}$) cylinders similar to ${\mathrm{MgB}}_{2}$,while the corresponding C--C states lie well below the Fermi level and are dead'' for coupling. However, the $\ensuremath{\pi}$-bonding (${p}_{z}$) states on the B--C/C--C layer provide a large Fermi-level density of states and weak coupling that moderates the coupling strength and thereby ${T}_{c}$.
Published Version
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