• 文献标题:   Direct measurement of discrete valley and orbital quantum numbers in bilayer graphene
  • 文献类型:   Article
  • 作  者:   HUNT BM, LI JIA, ZIBROV AA, WANG L, TANIGUCHI T, WATANABE K, HONE J, DEAN CR, ZALETEL M, ASHOORI RC, YOUNG AF
  • 作者关键词:  
  • 出版物名称:   NATURE COMMUNICATIONS
  • ISSN:   2041-1723
  • 通讯作者地址:   MIT
  • 被引频次:   31
  • DOI:   10.1038/s41467-017-00824-w
  • 出版年:   2017

▎ 摘  要

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.