Charge fluctuations, phonons and superconductivity in multilayer graphene

Abstract

Motivated by the recent experimental detection of superconductivity in Bernal bilayer (AB) and rhombohedral trilayer (ABC) graphene, we study the emergence of superconductivity in multilayer graphene based on a Kohn-Luttinger (KL)-like mechanism in which the pairing glue is the screened Coulomb interaction. We find that electronic interactions alone can drive superconductivity in AB bilayer graphene and ABC trilayer graphene with the critical temperatures in good agreement with the experimentally observed ones, allowing us to further predict superconductivity from electronic interactions in Bernal ABA trilayer and ABAB tetralayer and rhombohedral ABCA tetralayer graphene. By comparing the critical temperatures ($T_c$) of these five non-twisted graphene stacks, we find that the ABC trilayer graphene possesses the highest $T_c\sim 100$ mK. After considering the enhancement of superconductivity due to Ising spin-orbit coupling, we observe that the AB bilayer graphene has the largest enhancement in the critical temperature, increasing from 23 mK to 143 mK. The superconducting behaviors in these non-twisted graphene stacks could be explained by the order parameters (OPs). The OPs of Bernal stacks preserve intravalley $C_3$ symmetry, whereas rhombohedral stacks break it. In all stacks, the OPs have zeroes and change signs between valleys, which means that these multilayers of graphene are nodal spin-triplet superconductors. Moreover, dressing the purely electronic interaction with acoustic phonons, we observe minor changes of the critical temperatures in these five stacks. We adopt the KL-like mechanism to investigate the tendency of superconductivity in multilayer graphene without fitting parameters, which could provide guidance to future experiments exploring superconductivity in non-twisted graphene.

12 pages, 10 figures, 1 table

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Cited by in corpus (17)

• Tunable superconductivity in electron- and hole-doped Bernal bilayer graphene
• Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
• Chiral and topological superconductivity in isospin polarized multilayer graphene
• Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry
• Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene
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• A-15 type superconducting hydride $L{a}_4{H}_{23}$: Nanograined structure with low strain, strong electron-phonon interaction, and moderate level of nonadiabaticity
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Valley polarization, magnetization, and superconductivity in bilayer graphene near the van Hove singularity
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Short vs. long range exchange interactions in twisted bilayer graphene
• Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
• Finite-momentum pairing and superlattice superconductivity in valley-imbalanced rhombohedral graphene