Fractal butterflies of Dirac fermions in monolayer and bilayer graphene

• Published in: IET circuits, devices & systems Vol. 9; no. 1; pp. 19 - 29
• Main Authors: Chakraborty, Tapash, Apalkov, Vadym M
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.01.2015; John Wiley & Sons, Inc
• Subjects: bilayer graphene; Bilayers; Bloch electrons; Butterflies; Butterflies & moths; butterfly spectrum; Dirac fermions; Dynamical systems; Dynamics; Electron energy; electron-electron interaction; electronic properties; Energy; Energy spectra; Fermions; Fractal analysis; fractal butterflies; Fractals; Graphene; Hofstadter butterfly; Magnetic fields; Magnetic properties; magnetoconductance probe; magnetoresistance; Moire patterns; Moiré pattern; monolayer graphene; Monolayers; perpendicular magnetic field; semiconductor nanostructures; semiconductor systems; Semiconductors; single-electron energy spectrum; Special Issue on Graphene Electronics; magnetoresistance; monolayer graphene; Hofstadter butterfly; Bloch electrons; monolayers; electronic properties; bilayer graphene; fractal butterflies; magnetoconductance probe; single-electron energy spectrum; graphene; perpendicular magnetic field; Dirac fermions; Moiré pattern; electron-electron interaction; semiconductor systems; semiconductor nanostructures; butterfly spectrum

Bloch electrons in a perpendicular magnetic field exhibit unusual dynamics that has been studied for more than half a century. The single-electron energy spectrum of this system, the Hofstadter butterfly has been the subject of theoretical and experimental investigations for the past two decades. Ex...