In quantizing magnetic fields, graphene superlattices exhibit a complex fractal spectrum
often referred to as the Hofstadter butterfly. It can be viewed as a collection of Landau levels …

Motivated by experimental studies of graphene in the quantum Hall regime, we revisit the
phase diagram of a single sheet of graphene at charge neutrality. Because of spin and …

We propose a realistic scheme to construct anomalous Floquet Chern topological insulators
using spin-1 2 particles carrying out a discrete-time quantum walk in a two-dimensional …

The Hofstadter energy spectrum of twisted bilayer graphene (TBG) is found to have
recursive higher-order topological properties. We demonstrate that higher-order topological …

We study quantum phase transitions in graphene superlattices in external magnetic fields,
where a framework is presented to classify multiflavor Dirac fermion critical points describing …

We study graphene antidot lattices (GALs) in magnetic fields. Using a tight-binding model
and a recursive Green's function technique that we extend to deal with periodic structures …

The moiré potential of graphene on hexagonal boron nitride (hBN) generates a supercell
sufficiently large as to thread a full magnetic flux quantum Φ 0 for experimentally accessible …

The effects of mutual Coulomb interactions between Dirac fermions in monolayer graphene
on the Hofstadter energy spectrum are investigated. For two flux quanta per unit cell of the …

We investigate the electronic properties in the Bloch electron on a two-dimensional lattice
with vacancies in the uniform magnetic field. We show that a single vacancy site introduced …

Recently, the observation of large thermal Hall conductivities in correlated insulators with no
apparent broken symmetry has generated immense interest and debates on the underlying …