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10.1103-PhysRevB.105.115434 |
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|a 24699950 (ISSN)
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|a Why the first magic-angle is different from others in twisted graphene bilayers: Interlayer currents, kinetic and confinement energy, and wave-function localization
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|b American Physical Society
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1103/PhysRevB.105.115434
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|a The chiral Hamiltonian for twisted graphene bilayers is analyzed in terms of its squared Hamiltonian which removes the particle-hole symmetry and thus one bipartite lattice, allowing us to write the Hamiltonian in terms of a 2×2 matrix. This brings to the front the three main physical actors of twisted systems: kinetic energy, confinement potential, and an interlayer interaction operator which is divided in two parts: a non-Abelian interlayer operator and an operator which contains an interaction energy between layers. Here, each of these components is analyzed as a function of the angle of rotation as well as in terms of the wave-function localization properties. It is proved that the non-Abelian operator represents interlayer currents between each layer of triangular sublattices, i.e., a second-neighbor interlayer current between bipartite sublattices. A crossover is seen between such contributions, and thus, the first magic-angle is different from other higher-order magic-angles. Such angles are determined by a balance between the negative energy contribution from interlayer currents and the positive contributions from the kinetic and confinement energies. A perturbative analysis performed around the first magic-angle allows us to explore analytically the details of such an energy balance. © 2022 American Physical Society.
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|a Confinement energy
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|a 'current
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|a Current confinement
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|a Current energy
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|a Current kinetics
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|a Energy and wave functions
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|a Graphene
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|a Graphene bilayers
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|a Hamiltonians
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|a Kinetic energy
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|a Kinetics
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|a Localisation
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|a Magic angle
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|a Sub-lattices
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|a Wave functions
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|a Aguilar-Mendez, E.
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|a Espinosa-Champo, A.
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|a Naumis, G.G.
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|a Navarro-Labastida, L.A.
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|t Physical Review B
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