Research paperTheoreticalPeierls instability in hexagonal latticesDavid Gontier, Thaddeus Roussigné, Éric SéréarXiv preprint·2025·arXiv:2510.24230AbstractWe investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal 3-periodic lattice configuration has Kekulé O-type symmetry, and that for a sufficiently small elasticity parameter, the minimizer is not translation-invariant. Conversely, we prove that for a large elasticity parameter the translation-invariant configuration is the unique minimizer.Read more
Idealized pristine translation-invariant graphene configuration in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Idealized 3-periodic Kekulé-distorted graphene configuration with O-type symmetry in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalPeierls instability in hexagonal latticesDavid Gontier, Thaddeus Roussigné, Éric SéréarXiv preprint·2025·arXiv:2510.24230AbstractWe investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal 3-periodic lattice configuration has Kekulé O-type symmetry, and that for a sufficiently small elasticity parameter, the minimizer is not translation-invariant. Conversely, we prove that for a large elasticity parameter the translation-invariant configuration is the unique minimizer.Read more
Idealized pristine translation-invariant graphene configuration in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Idealized 3-periodic Kekulé-distorted graphene configuration with O-type symmetry in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalPeierls instability in hexagonal latticesDavid Gontier, Thaddeus Roussigné, Éric SéréarXiv preprint·2025·arXiv:2510.24230AbstractWe investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal 3-periodic lattice configuration has Kekulé O-type symmetry, and that for a sufficiently small elasticity parameter, the minimizer is not translation-invariant. Conversely, we prove that for a large elasticity parameter the translation-invariant configuration is the unique minimizer.Read more
Idealized pristine translation-invariant graphene configuration in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Idealized 3-periodic Kekulé-distorted graphene configuration with O-type symmetry in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalPeierls instability in hexagonal latticesDavid Gontier, Thaddeus Roussigné, Éric SéréarXiv preprint·2025·arXiv:2510.24230AbstractWe investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal 3-periodic lattice configuration has Kekulé O-type symmetry, and that for a sufficiently small elasticity parameter, the minimizer is not translation-invariant. Conversely, we prove that for a large elasticity parameter the translation-invariant configuration is the unique minimizer.Read more
Idealized pristine translation-invariant graphene configuration in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
Idealized 3-periodic Kekulé-distorted graphene configuration with O-type symmetry in the tight-binding model.No measurements recordedSimulatedCStudied MaterialExpand
