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Abstract:
Choi [Phys. Rev. B 66, 020513 (2002)] recently presented
first-principles calculations of the electron-phonon coupling and
superconductivity in MgB2, emphasizing the importance of anisotropy and
anharmonicity. We point out that (1) variation of the superconducting
gap inside the sigma or the pi bands can hardly be observed in real
samples, and (2) taking the anisotropy of the Coulomb repulsion into
account influences the size of the small gap, Delta(pi).