期刊
PHYSICAL REVIEW B
卷 104, 期 7, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.075143
关键词
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资金
- NSF [DMR-1916958]
- National High Magnetic Field Laboratory through NSF [DMR-1157490]
- State of Florida
- NSFC [12074276]
- Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions
The study revisits the localized Wannier state description of twisted bilayer graphene, focusing on the chiral limit. It provides a simple method for constructing two-dimensional exponentially localized yet valley-polarized Wannier states while maintaining all unobstructed symmetries. The analysis includes unitary particle-hole symmetry, C2T symmetry, and chiral particle-hole symmetry.
We revisit the localized Wannier state description of the twisted bilayer graphene, focusing on the chiral limit. We provide a simple method for constructing such two-dimensional exponentially localized-yet valley polarized-Wannier states, centered on the sites of the honeycomb lattice, paying particular attention to maintaining all the unobstructed symmetries. This includes the unitary particle-hole symmetry, and the combination of C2T and the chiral particle-hole symmetry. The C2T symmetry alone remains topologically obstructed and is not represented in a simple site-to-site fashion. We also analyze the gap and the dispersion of single particle and single hole excitations above a strong coupling ground state at integer fillings, which we find to be dominated by the on-site and the nearest-neighbor terms of a triangular lattice hopping model, with a minimum at the center of the moire Brillouin zone. Finally, we use the insight gained from this real-space description to understand the dependence of the gap and the effective mass on the range of the screened Coulomb interaction.
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