A fermion mass-matrix construction on a Sierpinski-triangle lattice yields three zero modes that the authors identify with the three Standard Model generations, and the framework can accommodate observed lepton data by fitting its parameters.
Hofstadter Butterfly in Graphene
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
citation-role summary
background 1
citation-polarity summary
fields
hep-ph 1years
2025 1verdicts
REJECT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Flavour from Fractal Mass Chains
A fermion mass-matrix construction on a Sierpinski-triangle lattice yields three zero modes that the authors identify with the three Standard Model generations, and the framework can accommodate observed lepton data by fitting its parameters.