Layered superconductor in a magnetic field: breakdown of the effective masses model

Abstract

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 $H_{c2}^{\parallel }(0)\approx 0.75|d{H}_{c2}^{\parallel }/dT{|}_{T_c}{T}_c$ and that $H_{c2}^{\perp }(0)\approx 0.59|d{H}_{c2}^{\perp }/dT{|}_{T_c}{T}_c$, where $|d{H}_{c2}^{\parallel }/dT{|}_{T_c}$ and $|d{H}_{c2}^{\perp }/dT{|}_{T_c}$ 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 $Mg{B}_2$.

5 pages, 1 figure

References in corpus (1)

• Scanning Tunneling Spectroscopy on Single Crystal MgB2

Cited by in corpus (4)

• Competition between orbital effects, Pauli limiting, and Fulde-Ferrell-Larkin-Ovchinnikov states in 2D transition metal dichalcogenide superconductors
• Four-fold anisotropy of the parallel upper critical magnetic field in a pure layered d-wave superconductor at $T=0$
• Reentrant orbital effect against superconductivity in the quasi-two-dimensional superconductor NbS${}_2$
• A Chiral Triplet Quasi-Two-Dimensional Superconductor in a Parallel Magnetic Field