Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene

Abstract

Nematic superconductors possess unconventional superconducting order parameters that spontaneously break rotational symmetry of the underlying crystal. In this work we propose a mechanism for nematic superconductivity stabilized by strong density wave fluctuations in two dimensions. While the weak-coupling theory finds the fully gapped chiral state to be energetically stable, we show that strong density wave fluctuations result in an additional contribution to the free energy of a superconductor with multicomponent order parameters, which generally favors nematic superconductivity. Our theory shades light on the recent observation of rotational symmetry breaking in the superconducting state of twisted bilayer graphene.

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Cited by in corpus (66)

• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
• Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
• Magic of high order van Hove singularity
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• Quantum textures of the many-body wavefunctions in magic-angle graphene
• Strain-induced quantum phase transitions in magic angle graphene
• Nematic superconductivity in twisted bilayer graphene
• Universal moiré nematic phase in twisted graphitic systems
• The Landau Level of Fragile Topology
• Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
• Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
• Valley Jahn-Teller effect in twisted bilayer graphene
• Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene
• Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
• Ferromagnetism and superconductivity in twisted double bilayer graphene
• Pairing in graphene-based moiré superlattices
• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• Supermoiré low-energy effective theory of twisted trilayer graphene
• Isospin and momentum polarized orders in bilayer graphene
• Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
• Hidden Wave Function of Twisted Bilayer Graphene: Flat Band as a Landau Level
• Twistronics in graphene-based van der Waals structures
• Unconventional superconductivity due to interband polarization
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
• Nodal band-off-diagonal superconductivity in twisted graphene superlattices
• Superconductivity-induced nematicity
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Emergent magnetic texture in driven twisted bilayer graphene
• Flat Band and Hole-induced Ferromagnetism in a Novel Carbon Monolayer
• Harmonic Fingerprint of Unconventional Superconductivity in Twisted Bilayer Graphene
• Electron-K-Phonon Interaction In Twisted Bilayer Graphene
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• Strain-tuned quantum criticality in electronic Potts-nematic systems
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• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Charge order and Mott insulating ground states in small-angle twisted bilayer graphene
• Nodal Nematic Superconductivity in Multiple-Flat-Band Land
• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
• Coulomb-driven band unflattening suppresses $K$-phonon pairing in moiré graphene
• The role of electromagnetic gauge-field fluctuations in the selection between chiral and nematic superconductivity
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