Research paperTheoreticalMean-field analysis of a Hubbard interaction on Bernal Bilayer GrapheneRobin Scholle, Laura Classen2024·10.1126/science.1194988·arXiv:2412.15945AbstractWe perform unrestricted Hartree-Fock calculations on the 2D Hubbard model on a honeycomb and bilayer honeycomb lattice at both zero and finite temperatures. Finite size real space calculations are supplemented with RPA calculations in the thermodynamic limit. The work studies phase diagrams in doping and temperature for moderate Hubbard interaction, classifying magnetic states by Fourier components, magnetization, and spin incommensurabilities. The dominant spin patterns are Néel order and various stripe phases, with competition between stripe and chiral spin density waves near Van Hove filling, and the effect of an applied displacement field on Bernal bilayer graphene is also investigated.Read more
Single-layer graphene modeled by the Hubbard model on a honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Bernal bilayer graphene modeled by the Hubbard model on an AB-stacked bilayer honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalMean-field analysis of a Hubbard interaction on Bernal Bilayer GrapheneRobin Scholle, Laura Classen2024·10.1126/science.1194988·arXiv:2412.15945AbstractWe perform unrestricted Hartree-Fock calculations on the 2D Hubbard model on a honeycomb and bilayer honeycomb lattice at both zero and finite temperatures. Finite size real space calculations are supplemented with RPA calculations in the thermodynamic limit. The work studies phase diagrams in doping and temperature for moderate Hubbard interaction, classifying magnetic states by Fourier components, magnetization, and spin incommensurabilities. The dominant spin patterns are Néel order and various stripe phases, with competition between stripe and chiral spin density waves near Van Hove filling, and the effect of an applied displacement field on Bernal bilayer graphene is also investigated.Read more
Single-layer graphene modeled by the Hubbard model on a honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Bernal bilayer graphene modeled by the Hubbard model on an AB-stacked bilayer honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalMean-field analysis of a Hubbard interaction on Bernal Bilayer GrapheneRobin Scholle, Laura Classen2024·10.1126/science.1194988·arXiv:2412.15945AbstractWe perform unrestricted Hartree-Fock calculations on the 2D Hubbard model on a honeycomb and bilayer honeycomb lattice at both zero and finite temperatures. Finite size real space calculations are supplemented with RPA calculations in the thermodynamic limit. The work studies phase diagrams in doping and temperature for moderate Hubbard interaction, classifying magnetic states by Fourier components, magnetization, and spin incommensurabilities. The dominant spin patterns are Néel order and various stripe phases, with competition between stripe and chiral spin density waves near Van Hove filling, and the effect of an applied displacement field on Bernal bilayer graphene is also investigated.Read more
Single-layer graphene modeled by the Hubbard model on a honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Bernal bilayer graphene modeled by the Hubbard model on an AB-stacked bilayer honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalMean-field analysis of a Hubbard interaction on Bernal Bilayer GrapheneRobin Scholle, Laura Classen2024·10.1126/science.1194988·arXiv:2412.15945AbstractWe perform unrestricted Hartree-Fock calculations on the 2D Hubbard model on a honeycomb and bilayer honeycomb lattice at both zero and finite temperatures. Finite size real space calculations are supplemented with RPA calculations in the thermodynamic limit. The work studies phase diagrams in doping and temperature for moderate Hubbard interaction, classifying magnetic states by Fourier components, magnetization, and spin incommensurabilities. The dominant spin patterns are Néel order and various stripe phases, with competition between stripe and chiral spin density waves near Van Hove filling, and the effect of an applied displacement field on Bernal bilayer graphene is also investigated.Read more
Single-layer graphene modeled by the Hubbard model on a honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand
Bernal bilayer graphene modeled by the Hubbard model on an AB-stacked bilayer honeycomb lattice.No measurements recordedSimulatedCStudied MaterialExpand