The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

As the first in a large family of 2D van der Waals (vdW) materials, graphene has attracted
enormous attention owing to its remarkable properties. The recent development of simple …

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 …

Majorana bound states often occur at the end of a 1D topological superconductor. Validated
by a new bulk invariant and an intuitive edge argument, we show the emergence of one …

Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Similarly to the system Hamiltonian, a subsystem's reduced density matrix is composed of
blocks characterized by symmetry quantum numbers (charge sectors). We present a …

Over the past decade, there have been considerable efforts to observe non-abelian
quasiparticles in novel quantum materials and devices. These efforts are motivated by the …

We construct topological defects in two-dimensional classical lattice models and quantum
chains. The defects satisfy local commutation relations guaranteeing that the partition …

The quantum anomalous Hall effect (QAHE) is a quantized Hall effect that occurs at zero
magnetic field. Its mechanism and properties are different from those of conventional …

We investigate the delocalization of operators in nonchaotic quantum systems whose
interactions are encoded in an underlying graph or network. In particular, we study how fast …