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Consistent account is provided of strongly anisotropic properties inthermodynamics of MgB$_2$ under magnetic field $H$ using approximate analyticsolution in the quasiclassical formalism. With the strength of the pairinginteractions and the Fermi velocities of two bands as fitting parameters, it ispossible to reproduce in wide regions of the phase diagram the $H$- andtemperature dependences of relevant quantities such as the zero-energy densityof states (ZEDOS), two energy gaps, the specific heat and the $H_{c2}$anisotropy. It is demonstrated that the velocity ratio of two bands affectsconsiderably the low-field behavior of the ZEDOS and energy gaps. The ratioalso affects the high-temperature behavior of the $H_{c2}$ anisotropy. Theanisotropy of the coherence length in the $\sigma$ band depends weakly on $H$and $T$, whereas the coherence length in the $\pi$ band remains isotropic evenin the presence of the inter-band coupling.Comment: 6 pages, 5 figures, To appear in J. Phys. Soc. Jp

Quasiclassical Theory for Thermodynamic Properties of the Two-Band Superconductor MgB2 under Magnetic Fields

Quasiclassical Theory for Thermodynamic Properties of the Two-Band Superconductor MgB₂ under Magnetic Fields