This is a short review of the recent progresses on Hofstadter butterfly in graphene, organized in the following. We first briefly introduce the Hofstadter butterfly, including the theoretic toy model of Bloch electrons in the magnetic field, the resulting Harper's equation and its solution, and realizations in non-graphene systems. Then, we discuss the ways to realize the fractal Hofstadter spectra in graphene, and introduce three types of graphene superlattice structure, including graphene-hBN, twisted graphene layers, nanofabricated graphene superlattice. In particular, details about the fractal Hofstadter spectrum in graphene will be focused and discussed in the graphene-hBN superlattice and the twisted bilayer graphene.Comment: Accepted...
We study the Hofstadter butterfly and Landau levels of the twisted bilayer graphene (TBG). We show t...
It has been shown that Bernal stacked bilayer graphene (BLG) in a uniform magnetic field demonstrate...
Graphene superlattices were shown to exhibit high-temperature quantum oscillations due to periodic e...
When submitted both to a magnetic field and a periodic potential, the energy spectrum of electrons e...
Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum ...
Self-similarity and fractals have fascinated researchers across various disciplines. In graphene pla...
Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum ...
We investigate theoretically the spectrum of a graphenelike sample (honeycomb lattice) subjected to ...
Graphene is an atomically-thin sheet of carbon atoms with a hexagonal lattice struc- ture. The mater...
Abstract The Hofstadter energy spectrum of twisted bilayer graphene (TBG) is found to have recursive...
The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice is a rare ...
ABSTRACT: The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice ...
We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields non-pertur...
In this thesis, we consider the electronic properties of materials created by stacking two-dimension...
The 'Hofstadter butterfly', a plot of the spectrum of an electron in a two-dimensional periodic pote...
We study the Hofstadter butterfly and Landau levels of the twisted bilayer graphene (TBG). We show t...
It has been shown that Bernal stacked bilayer graphene (BLG) in a uniform magnetic field demonstrate...
Graphene superlattices were shown to exhibit high-temperature quantum oscillations due to periodic e...
When submitted both to a magnetic field and a periodic potential, the energy spectrum of electrons e...
Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum ...
Self-similarity and fractals have fascinated researchers across various disciplines. In graphene pla...
Electrons moving through a spatially periodic lattice potential develop a quantized energy spectrum ...
We investigate theoretically the spectrum of a graphenelike sample (honeycomb lattice) subjected to ...
Graphene is an atomically-thin sheet of carbon atoms with a hexagonal lattice struc- ture. The mater...
Abstract The Hofstadter energy spectrum of twisted bilayer graphene (TBG) is found to have recursive...
The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice is a rare ...
ABSTRACT: The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice ...
We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields non-pertur...
In this thesis, we consider the electronic properties of materials created by stacking two-dimension...
The 'Hofstadter butterfly', a plot of the spectrum of an electron in a two-dimensional periodic pote...
We study the Hofstadter butterfly and Landau levels of the twisted bilayer graphene (TBG). We show t...
It has been shown that Bernal stacked bilayer graphene (BLG) in a uniform magnetic field demonstrate...
Graphene superlattices were shown to exhibit high-temperature quantum oscillations due to periodic e...
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