Distinguishing Spontaneous Quantum Hall States in Graphene Bilayers

Abstract

Chirally stacked N-layer graphene with N>=2 is susceptible to a variety of distinct broken symmetry states in which each spin-valley flavor spontaneously transfers charge between layers. In mean-field theory the neutral bilayer ground state is a layer antiferromagnet (LAF) state that has opposite spin-polarizations in opposite layers. In this Letter we analyze how the LAF and other competing states are influenced by Zeeman fields that couple to spin and by interlayer electric fields that couple to layer pseudospin, and comment on the possibility of using response and edge state signatures to identify the character of the bilayer ground state experimentally.

4 pages 3 figures and 1 table, submitted and to appear

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Cited by in corpus (56)

• Electronic properties of graphene-based bilayer systems
• Transport Spectroscopy of Symmetry-Broken Insulating States in Bilayer Graphene
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Electronic phase separation in topological surface states of rhombohedral graphite
• Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene
• Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
• Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
• Chiral Tunnelling in Twisted Graphene Bilayer
• Stacking boundaries and transport in bilayer graphene
• Fermions on bilayer graphene: symmetry breaking for B=0 and nu=0
• Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Spatially-indirect Exciton Condensate Phases in Double Bilayer Graphene
• Externally controlled band gap in twisted bilayer graphene
• Competing Ordered States in Bilayer Graphene
• A Family of Finite-Temperature Electronic Phase Transitions in Graphene Multilayers
• Ordered Loop Current States in Bilayer Graphene
• Many-body effects in twisted bilayer graphene at low twist angles
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Transport across twist angle domains in moiré graphene
• Experimental Observation of Surface States and Landau Levels Bending in Bilayer Graphene
• Ferroelectric and anomalous quantum Hall states in bare rhombohedral trilayer graphene
• Spin Symmetry of the Bilayer Graphene Groundstate
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• Gapped phase in AA stacked bilayer graphene
• Magneto-optical and optical probes of gapped ground states of bilayer graphene
• Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• d-wave superconductivity on the honeycomb bilayer
• Metallic Phase and Temperature Dependence of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• On the coexistence of antiferromagnetism and d + i d superconducting correlations in the graphene bilayer
• Coexistence and competition of nematic and gapped states in bilayer graphene
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Transport Measurement of Landau level Gaps in Bilayer Graphene
• Spontaneous Chiral Symmetry Breaking in Bilayer Graphene
• Half Metallic Bilayer Graphene
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Electronic Ground State in Bilayer Graphene with Realistic Coulomb Interactions
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Quantum multicriticality of bilayer graphene in the presence of a tunable energy gap
• Noncollinear magnetism and half-metallicity in biased bilayer zigzag graphene nanoribbons
• Possible Broken Inversion and Time-Reversal Symmetry State of Electrons in Bilayer Graphene
• Quarter Metal Superconductivity
• Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance
• Gate-induced Gap in Bilayer Graphene Suppressed by Coulomb Repulsion
• Absence of broken inversion symmetry phase of electrons in bilayer graphene under charge density fluctuations
• Ordered-Current State of Electrons in Bilayer Graphene
• Gate-induced half-metals in Bernal stacked graphene multilayer
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Electron-electron interactions in non-equilibrium bilayer graphene
• Signatures of electronic ordering in transport in graphene flat bands
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
• Spin-Polarized-Current State of Electrons in Bilayer Graphene
• Current orderings of interacting electrons in bilayer graphene
• Spatial variation of energy gap and Landau levels around gapped bilayer graphene domain walls
• Phase boundary of spin-polarized-current state of electrons in bilayer graphene