Research paperTheoreticalLayers of planar hexagonal heterostructures modeled by quantum graphsOsmar do Nascimento SouzaDoctor of Science thesis, Universidade Federal de São Carlos·2022·10.48550/arxiv.2405.15029·arXiv:2405.15029AbstractThis work reviews periodic quantum graph models for monolayer hexagonal materials with distinct vertex parameters, extends the approach to bilayers stacked in AA and AA′ configurations, and studies mixed bilayers and sandwich heterostructures such as graphene-hBN-graphene and hBN-graphene-hBN. Using Schrödinger operators with appropriate vertex boundary conditions and a weak interlayer interaction parameter, the thesis analyzes dispersion relations, conical and parabolic band touches, and the appearance of spectral gaps. It also adapts the hexagonal quantum-graph model to include a magnetic field in hBN and shows that rational magnetic flux values can eliminate Dirac cones and open gaps.Read more
Monolayer planar hexagonal graphene modeled by a periodic quantum graph.No measurements recordedSimulatedCStudied MaterialExpand
Monolayer planar hexagonal hBN modeled by a periodic quantum graph with inequivalent vertex parameters.No measurements recordedSimulatedBNStudied MaterialExpand
Mixed bilayer heterostructure hBN on graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure graphene-hBN-graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure hBN-graphene-hBN.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Research paperTheoreticalLayers of planar hexagonal heterostructures modeled by quantum graphsOsmar do Nascimento SouzaDoctor of Science thesis, Universidade Federal de São Carlos·2022·10.48550/arxiv.2405.15029·arXiv:2405.15029AbstractThis work reviews periodic quantum graph models for monolayer hexagonal materials with distinct vertex parameters, extends the approach to bilayers stacked in AA and AA′ configurations, and studies mixed bilayers and sandwich heterostructures such as graphene-hBN-graphene and hBN-graphene-hBN. Using Schrödinger operators with appropriate vertex boundary conditions and a weak interlayer interaction parameter, the thesis analyzes dispersion relations, conical and parabolic band touches, and the appearance of spectral gaps. It also adapts the hexagonal quantum-graph model to include a magnetic field in hBN and shows that rational magnetic flux values can eliminate Dirac cones and open gaps.Read more
Monolayer planar hexagonal graphene modeled by a periodic quantum graph.No measurements recordedSimulatedCStudied MaterialExpand
Monolayer planar hexagonal hBN modeled by a periodic quantum graph with inequivalent vertex parameters.No measurements recordedSimulatedBNStudied MaterialExpand
Mixed bilayer heterostructure hBN on graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure graphene-hBN-graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure hBN-graphene-hBN.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Research paperTheoreticalLayers of planar hexagonal heterostructures modeled by quantum graphsOsmar do Nascimento SouzaDoctor of Science thesis, Universidade Federal de São Carlos·2022·10.48550/arxiv.2405.15029·arXiv:2405.15029AbstractThis work reviews periodic quantum graph models for monolayer hexagonal materials with distinct vertex parameters, extends the approach to bilayers stacked in AA and AA′ configurations, and studies mixed bilayers and sandwich heterostructures such as graphene-hBN-graphene and hBN-graphene-hBN. Using Schrödinger operators with appropriate vertex boundary conditions and a weak interlayer interaction parameter, the thesis analyzes dispersion relations, conical and parabolic band touches, and the appearance of spectral gaps. It also adapts the hexagonal quantum-graph model to include a magnetic field in hBN and shows that rational magnetic flux values can eliminate Dirac cones and open gaps.Read more
Monolayer planar hexagonal graphene modeled by a periodic quantum graph.No measurements recordedSimulatedCStudied MaterialExpand
Monolayer planar hexagonal hBN modeled by a periodic quantum graph with inequivalent vertex parameters.No measurements recordedSimulatedBNStudied MaterialExpand
Mixed bilayer heterostructure hBN on graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure graphene-hBN-graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure hBN-graphene-hBN.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Research paperTheoreticalLayers of planar hexagonal heterostructures modeled by quantum graphsOsmar do Nascimento SouzaDoctor of Science thesis, Universidade Federal de São Carlos·2022·10.48550/arxiv.2405.15029·arXiv:2405.15029AbstractThis work reviews periodic quantum graph models for monolayer hexagonal materials with distinct vertex parameters, extends the approach to bilayers stacked in AA and AA′ configurations, and studies mixed bilayers and sandwich heterostructures such as graphene-hBN-graphene and hBN-graphene-hBN. Using Schrödinger operators with appropriate vertex boundary conditions and a weak interlayer interaction parameter, the thesis analyzes dispersion relations, conical and parabolic band touches, and the appearance of spectral gaps. It also adapts the hexagonal quantum-graph model to include a magnetic field in hBN and shows that rational magnetic flux values can eliminate Dirac cones and open gaps.Read more
Monolayer planar hexagonal graphene modeled by a periodic quantum graph.No measurements recordedSimulatedCStudied MaterialExpand
Monolayer planar hexagonal hBN modeled by a periodic quantum graph with inequivalent vertex parameters.No measurements recordedSimulatedBNStudied MaterialExpand
Mixed bilayer heterostructure hBN on graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure graphene-hBN-graphene.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand
Sandwich heterostructure hBN-graphene-hBN.No measurements recordedSimulatedCStudied MaterialBNStudied MaterialExpand