Breakdown of the coexistence of spin-singlet superconductivity and itinerant ferromagnetism

Abstract

We discuss the possibility of coexistence of spin-singlet superconductivity and ferromagnetism in a model where the same electrons are assumed responsible for both of them. Our calculations include both zero and finite momentum pairing states with both s-wave and d-wave pairing symmetry. Under the mean-field approximation, the thermodynamic potential of the non-magnetic superconducting (SC) state is shown to be always lower than that of the superconducting ferromagnetic (SF) state. It follows that the spin-singlet SF state is energetically unfavorable, and a spin-triplet SF state is more likely to survive in metals such as UGe${}_2$ and ZrZn${}_2$.

References in corpus (5)

• Response of a $d_{x^2-y^2}$ Superconductor to a Zeeman Magnetic Field
• Theory of Ferromagnetic Superconductivity
• A Model for Superconductivity in Ferromagnetic ZrZn2
• Competition of Spin-Fluctuations and Phonons in Superconductivity of ZrZn2
• Longitudinal spin-fluctuations and superconductivity in ferromagnetic ZrZn${}_2$ from ab initio calculations

Cited by in corpus (13)

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• Tunneling currents in ferromagnetic systems with multiple broken symmetries
• Conductance spectra of ferromagnetic superconductors: Quantum transport in a ferromagnetic metal/non-unitary ferromagnetic superconductor junction
• Coexistence of itinerant ferromagnetism and a non-unitary superconducting state with line nodes: possible application to UGe${}_2$
• Effect of a Zeeman field on the superconductor-ferromagnet transition in metallic grains
• Enhancement of ferromagnetism by p-wave Cooper pairing in superconducting ferromagnets
• Phase-Controllable Nonlocal Spin Polarization in Proximitized Nanowires
• Microscopic origin of ultranodal superconducting states in spin-1/2 systems
• A model for coexistent superconductivity and ferromagnetism
• Coexistence of ferromagnetism and superconductivity: the role of kinetic interactions, kinetic correlations, and external pressure
• Density of states near a vortex core in ferromagnetic superconductors: Application to STM measurements