期刊
NATURE COMMUNICATIONS
卷 8, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/s41467-017-00824-w
关键词
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资金
- NSF under EAGER [DMR-1636607]
- BES Program of the Office of Science of the US DOE [FG02-08ER46514]
- Gordon and Betty Moore Foundation [GBMF2931]
- NSF MRSEC [DMR-1420634]
- US ONR [N00014-13-1-0662]
- Elemental Strategy Initiative
- JSPS KAKENHI [JP15K21722]
The high magnetic field electronic structure of bilayer graphene is enhanced by the spin, valley isospin, and an accidental orbital degeneracy, leading to a complex phase diagram of broken symmetry states. Here, we present a technique for measuring the layer-resolved charge density, from which we directly determine the valley and orbital polarization within the zero energy Landau level. Layer polarization evolves in discrete steps across 32 electric field-tuned phase transitions between states of different valley, spin, and orbital order, including previously unobserved orbitally polarized states stabilized by skew interlayer hopping. We fit our data to a model that captures both single-particle and interaction-induced anisotropies, providing a complete picture of this correlated electron system. The resulting roadmap to symmetry breaking paves the way for deterministic engineering of fractional quantum Hall states, while our layer-resolved technique is readily extendable to other two-dimensional materials where layer polarization maps to the valley or spin quantum numbers.
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