Half-integer Wannier diagram and Brown-Zak fermions of graphene on hexagonal boron nitride
نویسندگان
چکیده
The moir\'e potential of graphene on hexagonal boron nitride (hBN) generates a supercell sufficiently large as to thread full magnetic flux quantum ${\mathrm{\ensuremath{\Phi}}}_{0}$ for experimentally accessible field strengths. Close rational fractions ${\mathrm{\ensuremath{\Phi}}}_{0}$, $p/q\ifmmode\cdot\else\textperiodcentered\fi{}{\mathrm{\ensuremath{\Phi}}}_{0}$, magnetotranslation invariance is restored giving rise Brown-Zak fermions featuring the same dispersion relation in absence field. Employing highly efficient numerical approach we simulate magnetoconductance bulk nitride. resulting Hofstadter butterfly analyzed terms novel half-integer Wannier diagram Landau spectra Dirac particles. This complex can account many features observed simulation and experiment single-particle level, such spin valley degeneracy lifting nonperiodicidy ${\mathrm{\ensuremath{\Phi}}}_{0}$.
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2022
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.106.165412