Chiral spin density wave order on frustrated honeycomb and bilayer triangle lattice Hubbard model at half-filling

Abstract

We study the Hubbard model on the frustrated honeycomb lattice with nearest-neighbor $t_1$ and second nearest-neighbor hopping $t_2$, which is isomorphic to the bilayer triangle lattice, using the SU(2)-invariant slave boson theory. We show that the Coulomb interaction $U$ induces antiferromagnetic (AF) chiral spin-density wave ($\chi$-SDW) order in a wide range of $\kappa =t_2/t_1$ where both the two-sublattice AF order at small $\kappa$ and the decoupled three-sublattice 120${}^{\circ }$ order at large $\kappa$ are strongly frustrated, leading to three distinct phases with different anomalous Hall responses. We find a continuous transition from a $\chi$-SDW semimetal with anomalous Hall effect to a topological chiral Chern insulator exhibiting quantum anomalous Hall effect, followed by a discontinuous transition to a $\chi$-SDW insulator with zero total Chern number but anomalous ac Hall effect.The $\chi$-SDW is likely a generic phase of strongly correlated and highly frustrated hexagonal lattice electrons.

6 pages, 5 figures. To be published in Physical Review Letters

References in corpus (10)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Spin chirality on a two-dimensional frustrated lattice
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice

Cited by in corpus (3)

• Topological Magnon Bands and Unconventional Thermal Hall Effect on the Frustrated Honeycomb and Bilayer Triangular Lattice
• Incommensurate chirality density wave transition in a hybrid molecular framework
• From Frustrated to Unfrustrated: Coupling two triangular-lattice itinerant Quantum Magnets