Topological insulators in strained graphene at weak interaction

Abstract

The nature of the electronic ground states in strained undoped graphene at weak interaction between electrons is discussed. After providing a lattice realization of the strain-induced axial magnetic field we numerically find the self-consistent solution for the time reversal symmetry breaking quantum anomalous Hall order-parameter, at weak second-nearest-neighbor repulsion between spinless fermions. The anomalous Hall state is obtained in both uniform and nonuniform axial magnetic fields, with the spatial profile of the order-parameter resembling that of the axial field itself. When the electron spin is included, the time reversal symmetric anomalous spin Hall state becomes slightly preferred energetically at half filling, but the additional anomalous Hall component should develop at a finite doping.

5.5 pages, 5 figures + Supplementary (2 pages + 5 figures), Added discussion on chiral symmetry breaking ordering, New references, typos corrected, Published version

References in corpus (7)

• Topological Mott Insulators
• Interactions and phase transitions on graphene's honeycomb lattice
• Theory of interacting electrons on the honeycomb lattice
• Chiral Gauge Theory for Graphene
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Quantum critical scaling in magnetic field near the Dirac point in graphene

Cited by in corpus (27)

• Novel effects of strains in graphene and other two dimensional materials
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Phases of correlated spinless fermions on the honeycomb lattice
• Strain-induced time-reversal odd superconductivity in graphene
• Nematic, topological and Berry phases when a flat and a parabolic band touch
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Migdal's theorem and electron-phonon vertex corrections in Dirac materials
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
• Zero-modes and global antiferromagnetism in strained graphene
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Strain tuned topology in the Haldane and the modified Haldane models
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Landau Levels in Strained Optical Lattices
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Topological phase transitions and universality in the Haldane-Hubbard model
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• Engineering the Quantum Anomalous Hall Effect in Graphene with Uniaxial Strains
• Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
• Sound waves induce Volkov-like states, band structure and collimation effect in graphene
• Quantum phase transitions of topological insulators without gap closing
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Half vortex and fractional electrical charge in two dimensions
• Zero modes and index theorems for non-Hermitian Dirac fermions