Gap Structure of the Hofstadter System of Interacting Dirac Fermions in Graphene
arXiv:1311.4935 · doi:10.1103/PhysRevLett.112.176401
Abstract
The effects of mutual Coulomb interactions between Dirac fermions in monolayer graphene on the Hofstadter energy spectrum have been studied. Our studies indicate that the effects of the interaction depend strongly on the amplitude of the periodic potential. For large amplitudes the interaction effects are small and the properties of the system are primarily determined by the periodic potential but for small amplitudes the interaction greatly influences the band gap. The signature of the interaction effects in the Hofstadter system can be probed through magnetization where the Coulomb effects are dominant for small amplitudes of the periodic potential.
5 pages, 4 figures, Modified version, accepted for publication in PRL
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- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
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- Hofstadter butterflies of bilayer graphene
- Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene
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- Effects of Interaction in the Hofstadter regime of the honeycomb lattice
- Persistence of gaps in the interacting Hofstadter model
- Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
- Translational symmetry breaking and the disintegration of the Hofstadter butterfly
- Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
- Spin Transitions in Graphene Butterflies at an Integer Filling Factor
- Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
- Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
- Density Wave States in the Presence of an External Magnetic Field
- Excitation Gap of Fractal Quantum Hall States in Graphene
- Charge density wave with meronlike spin texture induced by a lateral superlattice in a two-dimensional electron gas
- Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties
- Effects of site asymmetry and valley mixing on Hofstadter-type spectra of bilayer graphene in a square-scatter array potential
- Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model
- Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas