Vestigial singlet pairing in a fluctuating magnetic triplet superconductor: Applications to graphene moiré systems

Abstract

Motivated by the phenomenology of graphene moiré superlattices, we study a 2D model with strong tendencies towards both magnetism and triplet superconductivity. Individually, their respective order parameters, $\vec{N}$ and $\vec{d}$, cannot order at finite temperature. Nonetheless, the model exhibits a variety of vestigial phases, including charge-$4e$ superconductivity and broken time-reversal symmetry. Our main focus is on a phase characterized by finite $\vec{d}\cdot \vec{N}$, which has the same symmetries as the BCS state, a Meissner effect, and metastable supercurrents, yet rather different spectral properties: most notably, the suppression of the electronic density of states at the Fermi can resemble that of either a fully gapped or nodal superconductor, depending on parameters. This could provide a possible explanation for recent tunneling experiments in graphene moiré systems.

arXiv comment20 pages, 8 figures

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Cited by in corpus (8)

• Nodal band-off-diagonal superconductivity in twisted graphene superlattices
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• Eliashberg Theory and Superfluid Stiffness of Band-Off-Diagonal Pairing in Twisted Graphene
• Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Superconducting States and Intertwined Orders in Metallic Altermagnets