English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the energy spectrum and quantum Hall effects of the twisted doublebilayer graphene in uniform magnetic field. We investigate two differentarrangements, AB-AB and AB-BA, which differ in the relative orientation buthave very similar band structures in the absence of a magnetic field. For eachsystem, we calculate the energy spectrum and quantized Hall conductivities ateach spectral gap by using a continuum Hamiltonian that satisfies themagneto-translation condition. We show that the Hofstadter butterfly spectra ofAB-AB and AB-BA stackings differ significantly, even though their zero magneticfield band structures closely resemble; the spectrum of AB-AB has valleydegeneracy, which can be lifted by applying interlayer potential asymmetry,while the spectrum of AB-BA has no such degeneracy in any case. We explain theorigin of the difference from the perspectives of lattice symmetry and bandtopology.

Hofstadter butterfly and the quantum Hall effect in twisted double bilayer graphenes