Antiferromagnetic Order and π-triplet Pairing in the Fulde-Ferrell-Larkin-Ovchinnikov State

Abstract

The antiferromagnetic Fulde-Ferrell-Larkin-Ovchinnikov (AFM-FFLO) state of coexisting d-wave FFLO superconductivity and incommensurate AFM order is studied on the basis of Bogoliubov-de Gennes (BdG) equations. We show that the incommensurate AFM order is stabilized in the FFLO state by the appearance of the Andreev bound state localized around the zeros of the FFLO order parameter. The AFM-FFLO state is further enhanced by the induced π-triplet superconductivity (pair density wave). The AFM order occurs in the FFLO state even when it is neither stable in the normal state nor in the BCS state. The order parameters of the AFM order, d-wave superconductivity, and π-triplet pairing are investigated by focusing on their spatial structures. Roles of the spin fluctuations beyond the BdG equations are discussed. Their relevance to the high-field superconducting phase of CeCoIn_5 is discussed.

Typos are fixed. Published version

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• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
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• Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state
• Field Dependence of the Ground State in the Exotic Superconductor CeCoIn${}_5$: a Nuclear Magnetic Resonance Investigation
• Coupled SDW and Superconducting Order in FFLO State of CeCoIn${}_5$
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• Intertwined Orders in Heavy-Fermion Superconductor CeCoIn${}_5$
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• Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions
• Interplay of the spin density wave and a possible Fulde-Ferrell-Larkin-Ovchinnikov state in $\mathrm{CeCoI}{\mathrm{n}}_5$ in rotating magnetic field
• Impurity-induced antiferromagnetic order in Pauli-limited nodal superconductors: application to heavy fermion CeCoIn5
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• Antiferromagnetic Phases in the Fulde-Ferrell-Larkin-Ovchinnikov State of CeCoIn_5
• Gapless Triplet Superconductivity in Magnetically Polarized Media
• Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
• Angular dependence of antiferromagnetic order induced by paramagnetism in d-wave superconductor
• Carrier-doping effect and anomalous transport properties in Ni-doped CeCoIn5 investigated by Hall resistivity measurements
• Microscopic evidence for Fulde-Ferrel-Larkin-Ovchinnikov state and multiband effects in KFe${}_2$As${}_2$