Journal
PHYSICAL REVIEW B
Volume 102, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.102.035421
Keywords
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Funding
- National Science Foundation of China [11750110420]
- JSPS KAKENHI [JP17K05496, JP20H01840, JP20H00127]
- Science and Technology Commission of Shanghai Municipality (Shanghai Natural Science Grants) [19ZR1436400]
- NYU-ECNU Institute of Physics at NYU Shanghai
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We study the energy spectrum and quantum Hall effects of the twisted double bilayer graphene in uniform magnetic field. We investigate two different arrangements, AB-AB and AB-BA, which differ in the relative orientation but have very similar band structures in the absence of a magnetic field. For each system we calculate the energy spectrum and quantized Hall conductivities at each spectral gap by using a continuum Hamiltonian that satisfies the magnetotranslation condition. We show that the Hofstadter butterfly spectra of AB-AB and AB-BA stackings differ significantly, even though their zero magnetic field band structures closely resemble; the spectrum of AB-AB has valley degeneracy, which can be lifted by applying interlayer potential asymmetry, while the spectrum of AB-BA has no such degeneracy in any case. We explain the origin of the difference from the perspectives of lattice symmetry and band topology.
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