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The lattice dynamical properties of Li$_x$BC are calculated for severalvalues of $x$ using density functional perturbation theory. We find that theelectron-phonon coupling parameter $\lambda$ increases monotonically withdecreasing $x$ to a maximum value of 1.4 for $x=0.125$ owing to the increasingradius of multiply-nested Fermi surface cylinders. The B-C bond-stretchingphonon modes have frequencies which are 28% higher than the equivalent modes inMgB$_2$. This combination results in a $T_c$ of about 65 K for $x=0.5$.Comment: 6 pages, 5 figure

physical review. b, condensed matter

First-principles calculation of superconductivity in hole-doped LiBC:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mn>65</mml:mn><mml:mn /><mml:mi /><mml:mi mathvariant="normal">K</mml:mi></mml:math>

First-principles calculation of superconductivity in hole-doped LiBC:Tc=65K