Fluctuation and Order of Antiferromagnetism induced by Paramagnetic Pair-Breaking in Superconducting Vortex Lattice

Abstract

Effects of the strong Pauli-paramagnetic pair-breaking (PPB) on the vortex lattice in d-wave superconductors are theoretically studied by putting emphasis on consequences of the PPB-induced antiferromagnetic (AFM) ordering in the spatial modulation in the vortex lattice. It is shown that the PPB-induced AFM fluctuation in the superconducting state leads to an enhancement of the vortex lattice form factor which is a measure of spatial variations of the internal magnetic field and that the enhancement becomes more remarkable as an AFM instability is approached. It is also demonstrated that the PPB-induced AFM ordering is assisted by the vortex-lattice modulation, and thus, that the resulting AFM order is spatially modulated, while it is not localized in the vortex cores but coexistent with the nonvanishing superconducting order parameter. These results are discussed in connection with two phenomena observed in CeCoIn5, the anomalous field dependence of the vortex lattice form factor and the AFM order appearing inside the high-field and low-temperature superconducting phase.

26 pages, 13 figures

References in corpus (9)

• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• Interplay between magnetism and superconductivity in Fe-pnictides
• Evolution of Paramagnetic Quasiparticle Excitations Emerged in the High-Field Superconducting Phase of CeCoIn5
• Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state
• High field superconducting phase diagrams including Fulde-Ferrell-Larkin-Ovchinnikov vortex states
• Emergent Antiferromagnetism in D-wave Superconductor with Strong Paramagnetic Pair-Breaking
• Instability of square vortex lattice in d-wave superconductors is due to paramagnetic depairing
• Anomalous doping effect on the superconducting state in CeCoIn${}_5$ at high magnetic fields
• Interplay of Superconductivity, Antiferromagnetism, and Pauli Depairing in CeCoIn${}_5$

Cited by in corpus (5)

• Vortex lattice studies in CeCoIn5 with H perpendicular to c
• Stripe order and diode effect in two-dimensional Rashba superconductors
• Angular dependence of antiferromagnetic order induced by paramagnetism in d-wave superconductor
• Field Dependence of the Superconducting Basal Plane Anisotropy of TmNi2B2C
• RKKY interaction in the presence of a charge-density-wave order