Disordered Fulde-Ferrel-Larkin-Ovchinnikov State in d-wave Superconductors

Abstract

We study the Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) superconducting state in the disordered systems. We analyze the microscopic model, in which the d-wave superconductivity is stabilized near the antiferromagnetic quantum critical point, and investigate two kinds of disorder, namely, box disorder and point disorder, on the basis of the Bogoliubov-deGennes (BdG) equation. The spatial structure of modulated superconducting order parameter and the magnetic properties in the disordered FFLO state are investigated. We point out the possibility of "FFLO glass" state in the presence of strong point disorders, which arises from the configurational degree of freedom of FFLO nodal plane. The distribution function of local spin susceptibility is calculated and its relation to the FFLO nodal plane is clarified. We discuss the NMR measurements for CeCoIn_5.

Submitted to New. J. Phys. a focus issue on "Superconductors with Exotic Symmetries"

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• Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at $T>0$
• Mystery of Excess Low Energy States in a Disordered Superconductor in a Zeeman Field
• Array of Josephson junctions with a non-sinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors
• Interplay between the Fulde-Ferrell phase and Larkin-Ovchinnikov phase in the superconducting ring pierced by an Aharonov-Bohm flux
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• Interaction-induced localization of fermionic mobile impurities in a Larkin-Ovchinnikov superfluid
• Fulde-Ferrell-Larkin-Ovchinnikov state in strongly correlated d-wave superconductors
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states