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Journal Article

Quantum Hall ferroelectric helix in bilayer graphene


Sodemann,  Inti
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Jolicoeur, T., Töke, C., & Sodemann, I. (2019). Quantum Hall ferroelectric helix in bilayer graphene. Physical Review B, 99(11): 115139. doi:10.1103/PhysRevB.99.115139.

Cite as: https://hdl.handle.net/21.11116/0000-0003-CE6F-A
We reexamine the nature of the ground states of bilayer graphene at odd integer filling factors within a simplified model of nearly degenerate n = 0 and n = 1 Landau levels. Previous Hartree-Fock studies have found that ferroelectric states with orbital coherence can be stabilized by tuning the orbital splitting between these levels. These studies indicated that, in addition to a uniform ferroelectric state, a helical ferroelectric phase with spontaneously broken translational symmetry is possible. By performing exact diagonalization on the torus, we argue that the system does not have a uniform coherent state but instead transitions directly from the uniform incoherent state into the ferroelectric helical phase. We argue that there is a realistic prospect to stabilize the helical ferroelectric state in bilayer graphene by tuning the interlayer electric field in a model that includes all single-particle corrections to its zero energy eightfold multiplet of Landau levels.