Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Electronic states in quasicrystals generally preclude a Bloch description, rendering them
fascinating and enigmatic. Owing to their complexity and scarcity, quasicrystals are …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

In the field of quantum simulation of condensed matter phenomena by artificially
engineering the Hamiltonian of an atomic, molecular or optical system, the concept of …

The observation of ferromagnetic order in a monolayer of CrI 3 has been recently reported,
with a Curie temperature of 45 K and off-plane easy axis. Here we study the origin of …

When a two-dimensional (2D) electron gas is placed in a perpendicular magnetic field, its in-
plane transverse conductance becomes quantized; this is known as the quantum Hall effect …

The physics of a photonic structure is commonly described in terms of its apparent geometric
dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …