Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene

Abstract

Magic-angle twisted trilayer graphene (MATTG) recently emerged as a highly tunable platform for studying correlated phases of matter, such as correlated insulators and superconductivity. Superconductivity occurs in a range of doping levels that is bounded by van Hove singularities which stimulates the debate of the origin and nature of superconductivity in this material. In this work, we discuss the role of spin-fluctuations arising from atomic-scale correlations in MATTG for the superconducting state. We show that in a phase diagram as function of doping ($\nu$) and temperature, nematic superconducting regions are surrounded by ferromagnetic states and that a superconducting dome with $T_c\approx 2\mathrm{K}$ appears between the integer fillings $\nu =-2$ and $\nu =-3$. Applying a perpendicular electric field enhances superconductivity on the electron-doped side which we relate to changes in the spin-fluctuation spectrum. We show that the nematic unconventional superconductivity leads to pronounced signatures in the local density of states detectable by scanning tunneling spectroscopy measurements.

14 pages, 3 figures, supplementary information

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• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
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• Evolution of Superconductivity in Twisted Graphene Multilayers
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• Energetic stability and spatial inhomogeneity in the local electronic structure of relaxed twisted trilayer graphene
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• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
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• Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene
• Superconducting magic-angle twisted trilayer graphene hosts competing magnetic order and moiré inhomogeneities
• Topological Mixed Valence Model in Magic-Angle Twisted Bilayer Graphene
• Competing magnetic states on the surface of multilayer ABC-stacked graphene
• Short vs. long range exchange interactions in twisted bilayer graphene
• Excitonic Metal and Non-Fermi Liquid Behaviour in Twisted Double Bilayer Graphene near Charge Neutrality
• Optical response of alternating twisted trilayer graphene
• Signatures of electronic ordering in transport in graphene flat bands
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Magic angle and plasmon mode engineering in twisted trilayer graphene with pressure
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach