Magic-angle helical trilayer graphene

Abstract

We propose helical trilayer graphene (HTG), a helical structure featuring identical rotation angles $\theta \approx 1.5^{\circ }$ between three consecutive layers of graphene, as a unique and experimentally accessible platform for realizing exotic correlated topological states of matter. While nominally forming a supermoiré (or moiré-of-moiré) structure, we show that HTG locally relaxes into large regions of a periodic single-moiré structure in which $C_{2z}$ is broken, giving rise to flat topological bands carrying valley-Chern numbers $C=\pm (1,-2)$. These bands feature near-ideal quantum geometry and are isolated from remote bands by a large gap $E_{\mathrm{gap}}\sim 100$ meV, making HTG a promising platform for experimental realization of correlated topological states such as integer and fractional quantum anomalous Hall states in $C=1$ and $2$ bands.

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Cited by in corpus (28)

• Helical trilayer graphene: a moiré platform for strongly-interacting topological bands
• "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
• Extended magic phase in twisted graphene multilayers
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Isolated flat bands in 2D lattices based on a novel path-exchange symmetry
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bands
• Moiré Band Engineering in Twisted Trilayer WSe2
• Chern-Textured Exciton Insulators with Valley Spiral Order in Moiré Materials
• Correlated states in super-moiré materials with a kernel polynomial quantics tensor cross interpolation algorithm
• Twisto-electrochemical activity volcanoes in Trilayer Graphene
• Optical response of alternating twisted trilayer graphene
• Moiré amplification of highly tunable shift current response in twisted trilayer graphene
• Polarization textures in crystal supercells with topological bands
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Rashba spin splitting based on trilayer graphene systems
• Capturing magic angles in twisted bilayer graphene from information theory markers
• Imaging supermoiré relaxation in helical trilayer graphene
• Josephson junction of minimally twisted bilayer graphene
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• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
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• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Strong Correlations and Superconductivity in the Supermoiré Lattice
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Effects of spin-orbit coupling in a valley chiral kagomé network
• Interlayer electric multipole Hall effect in twisted multilayers