We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

Two-dimensional topological insulators (2D TIs) are a highly desired quantum phase but few
materials have demonstrated clear signatures of a 2D TI state. It has been predicted that 2D …

The quantum Hall effect is usually observed in 2D systems. We show that the Fermi arcs can
give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the …

Adding magnetic flux to a band structure breaks Bloch's theorem by realizing a projective
representation of the translation group. The resulting Hofstadter spectrum encodes the …

We review our recent works on the quantum transport, mainly in topological semimetals and
also in topological insulators, organized according to the strength of the magnetic field. At …

Recent experiments showed that the surface of a three-dimensional topological insulator
develops gaps in the Floquet-Bloch band spectrum when illuminated with a circularly …

The layer-dependent Chern number (C) in MnBi 2 Te 4 is characterized by the presence of a
Weyl semimetal state in the ferromagnetic coupling. However, the influence of a key factor …

Graphene and topological insulators can feature a unique quantum Hall state with a filling
factor of ν= 0 that supplies a wealth of information about the nature of the underlying …

We develop an accurate nanoelectronic modeling approach for realistic three-dimensional
topological insulator nanostructures and investigate their low-energy surface-state spectrum …

In a thin-film topological insulator (TI), the edge states on two surfaces may couple by
quantum tunneling, opening a gap known as the hybridization gap. Controlling the …