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VOLUME 110 (2019) | ISSUE 3 | PAGE 163
Layered superconductor in a magnetic field: breakdown of the effective masses model
We theoretically study the upper critical magnetic fields at zero temperature in a quasi-two-dimensional (Q2D) superconductor in the parallel and perpendicular fields, H_{c2}^{\parallel}(0) and H_{c2}^{\perp}(0), respectively. We find that H_{c2}^{\parallel}(0) \approx 0.75 | d H_{c2}^{\parallel}/ d
T|_{T_c} T_c and that H_{c2}^{\perp}(0) \approx 0.59 | d
H_{c2}^{\perp}/ d T|_{T_c} T_c, where | d H_{c2}^{\parallel}/ d
T|_{T_c} and | d H_{c2}^{\perp}/ d T|_{T_c} are the corresponding Ginzburg-Landau slopes of the upper critical magnetic fields. Our results demonstrate the breakdown of the so-called effective mass model in Q2D case and may be partially responsible for the experimentally observed deviations from the effective mass model in a number of layered superconductors, including MgB2.