Effects of Interaction in the Hofstadter regime of the honeycomb lattice

Abstract

We investigate phases of spinless fermions on the honeycomb lattice with nearest neighbor interaction in the Hofstadter regime. The interaction induces incompressible nematic and ferri-electric phases with broken translation symmetry. Some of the transitions are accompanied by changes in the Hall conductivity. We study pair correlations and show that the quantum metric, averaged over the Brillouin zone, characterizes the shape of the pair correlation function.

8 pages, 8 figures

References in corpus (4)

• Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Theory of Nematic Fractional Quantum Hall State
• Hofstadter butterfly for a finite correlated system

Cited by in corpus (15)

• Unusual magnetotransport in twisted bilayer graphene
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Orbital Effect of the Magnetic Field in Dynamical Mean-Field Theory
• Multitude of Topological Phase Transitions in Bipartite Dice and Lieb Lattices with Interacting Electrons and Rashba Coupling
• Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene
• Stability of zero energy Dirac touchings in the honeycomb Hofstadter problem
• 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
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Magnetic Hofstadter cascade in a twisted semiconductor homobilayer
• Artificial electrostatic crystals: a new platform for creating correlated quantum states
• Interacting fermions in two dimension in simultaneous presence of disorder and magnetic field
• Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
• Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model