Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
arXiv:1308.1395 · doi:10.1103/PhysRevB.88.241107
Abstract
The effective theory for bilayer graphene (BLG), subject to parallel/in-plane magnetic fields, is derived. With a sizable magnetic field the trigonal warping becomes irrelevant, and one ends up with two Dirac points in the vicinity of each valley in the low-energy limit, similar to the twisted BLG. Combining twisting and parallel field thus gives rise to a Dirac system with tunable Fermi velocity and cutoff. If the interactions are sufficiently strong, several fully gapped states can be realized in these systems, in addition to the ones in a pristine setup. Transformations of the order parameters under various symmetry operations are analyzed. The quantum critical behavior of various phase transitions driven by the twisting and the magnetic field is reported. The effects of an additional perpendicular fields, and possible ways to realize the new massive phases is highlighted.
5 Pages, 1 fugure + Supplementary Material (3.5 pages), updated references, streamlined presentation, improved figure, typos corrected: Published version
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- Transport properties of bilayer graphene in a strong in-plane magnetic field
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- Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
- Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
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