Ordered states in AB bilayer graphene in SU(4)-symmetric model
arXiv:2411.01309 · doi:10.1103/PhysRevB.111.205421
Abstract
We apply SU(4)-symmetric model to examine possible ordered states in AB stacked bilayer graphene (AB-BLG). The Hamiltonian of the system possesses this symmetry under certain assumptions. In such a model the multicomponent order parameter can be presented as a matrix . Using a mean field approximation, we derive a self-consistency equation for . Among possible solutions of the obtained equation there are anomalous quantum Hall states, spin, charge, spin-valley density waves, inter-layer excitonic phases and their combinations. We argue that the proposed approach is a useful tool for classification of the ordered states in AB-BLG. The ordered states of the SU(4)-symmetric model demonstrate extensive degeneracies. The degeneracies can be removed by taking into account the neglected non-SU(4)-symmetric terms, disorder, substrate, as well as other perturbations. The ordered states have varying sensitivity to these factors. This suggests that, for AB-BLG, a ground state ordering type is a non-universal property, susceptible to particulars of extrinsic conditions.
11 pages, 1 figure, almost identical to published version
References in corpus (26)
- Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
- Scanning tunneling spectroscopy of inhomogeneous electronic structure in monolayer and bilayer graphene on SiC
- Pseudospin Magnetism in Graphene
- Quantum Anomalous Hall State in Bilayer Graphene
- Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
- Quantum cascade of new correlated phases in trigonally warped bilayer graphene
- Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
- Interacting fermions on the honeycomb bilayer: from weak to strong coupling
- Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
- Electronic multicriticality in bilayer graphene
- Spin-orbit coupling in a graphene bilayer and in graphite
- Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
- Transport Gap in Suspended Bilayer Graphene at Zero Magnetic Field
- Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
- Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
- Isospin and momentum polarized orders in bilayer graphene
- AA-stacked bilayer graphene in an applied electric field: Tunable antiferromagnetism and coexisting exciton order parameter
- SU(4) symmetry in twisted bilayer graphene - an itinerant perspective
- Coexistence and competition of nematic and gapped states in bilayer graphene
- Cascade of transitions in twisted and non-twisted graphene layers within the van Hove scenario
- Homogeneity of Bilayer Graphene
- Symmetry-broken metallic orders in spin-orbit-coupled Bernal bilayer graphene
- Triplet superconductivity and spin density wave in biased AB bilayer graphene
- Half-metal and other fractional metal phases in doped AB bilayer graphene
- Magnetoplasmons and SU(4) symmetry in graphene
- Ordering in SU(4)-symmetric model of AA bilayer graphene