Twisted symmetric trilayer graphene: Single-particle and many-body Hamiltonians and hidden nonlocal symmetries of trilayer moiré systems with and without displacement field
Dumitru Călugăru, Fang Xie, Zhi-Da Song, Biao Lian, Nicolas Regnault, B. Andrei Bernevig
Abstract
At the single-particle level, twisted mirror-symmetric trilayer graphene decouples into a twisted graphene-bilayer-like contribution and a high-velocity Dirac fermion. This simple picture breaks down in the presence of interactions or perpendicular displacement fields, which couple the two mirror-symmetry sectors. Prompted by recent experimental discoveries, the authors derive and analyze the many-body Hamiltonian for twisted symmetric trilayer graphene. They unveil enlarged continuous symmetries beyond spin-valley rotations, including a hidden nonlocal one.
Topics & Concepts
Bilayer grapheneGrapheneHomogeneous spacePerpendicularHamiltonian (control theory)PhysicsDisplacement (psychology)Symmetry (geometry)Condensed matter physicsClassical mechanicsDisplacement fieldQuantum mechanicsGeometryMathematicsMathematical optimizationThermodynamicsFinite element methodPsychotherapistPsychologyGraphene research and applicationsTopological Materials and PhenomenaQuantum and electron transport phenomena