Antiferromagnetic superconductors with effective mass anisotropy in magnetic fields

Abstract

We derive critical field H_c2 equations for antiferromagnetic \textit{s}-wave, d_{x^2-y^2}-wave, and d_{xy}-wave superconductors with effective mass anisotropy in three dimensions, where we take into account (i) the Jaccarino-Peter mechanism of magnetic-field-induced superconductivity (FISC) at high fields, (ii) an extended Jaccarino-Peter mechanism that reduces the Pauli paramagnetic pair-breaking effect at low fields where superconductivity and an antiferromagnetic long-range order with a canted spin structure coexist, and (iii) the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO or LOFF) state. As an example, experimental phase diagrams observed in organic superconductor kappa-(BETS)_2FeBr_4 are theoretically reproduced. In particular, the upper critical field of low-field superconductivity is well reproduced without any additional fitting parameter other than those determined from the critical field curves of the FISC at high fields. Therefore, the extended Jaccarino-Peter mechanism seems to occur actually in the present compound. It is predicted that the FFLO state does not occur in the FISC at high fields in contrast to the compound lambda-(BETS)_2FeCl_4, but it may occur in low-field superconductivity for s-wave and d_{x^2-y^2}-wave pairings. We also briefly discuss a possibility of compounds that exhibit unconventional behaviors of upper critical fields.

11 pages, 9 figures, revtex4

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Cited by in corpus (10)

• Superconducting phases of f-electron compounds
• Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
• Crossover from the vortex state to the Fulde-Ferrell-Larkin-Ovchinnikov state in quasi-two-dimensional superconductors
• Symmetries of the quasi-1d Bechgaard salts superconducting state in an applied magnetic field
• Magnetic field induced singlet - triplet phase transition in quasi one-dimensional organic superconductors
• Different types of the Fulde-Ferrell-Larkin-Ovchinnikov states induced by anisotropy effects
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• High-Field de Haas-van Alphen Effect in non-centrosymmetric CeCoGe3 and LaCoGe3
• Fulde-Ferrell-Larkin-Ovchinnikov State in Perpendicular Magnetic Fields in Strongly Pauli-Limited Quasi-Two-Dimensional Superconductors
• Connection between in-plane upper critical field $H_{c2}$ and gap symmetry in layered $d$-wave superconductors revisited