Magnetism in two-dimensional (2D) van der Waals (vdW) materials has recently emerged as
one of the most promising areas in condensed matter research, with many exciting emerging …

Magnetic topological materials represent a class of compounds with properties that are
strongly influenced by the topology of their electronic wavefunctions coupled with the …

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …

Topological electronic materials, such as topological insulators, are distinct from trivial
materials in the topology of their electronic band structures that lead to robust …

The physics of quantum materials is dictated by many-body interactions and mathematical
concepts such as symmetry and topology that have transformed our understanding of matter …

Whereas ferromagnets have been known and used for millennia, antiferromagnets were
only discovered in the 1930s. At large scale, because of the absence of global …

Quantum geometry in condensed-matter physics has two components: the real part quantum
metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have …

In a magnetic topological insulator, nontrivial band topology combines with magnetic order
to produce exotic states of matter, such as quantum anomalous Hall (QAH) insulators and …

The intricate interplay between non-trivial topology and magnetism in two-dimensional
materials can lead to the emergence of interesting phenomena such as the quantum …

Two-dimensional (2D) material research is rapidly evolving to broaden the spectrum of
emergent 2D systems. Here, we review recent advances in the theory, synthesis …