The past decades have witnessed an explosion of interest in topological materials, and a lot
of mathematical concepts have been introduced in condensed matter physics. Among them …

The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

Non-Hermitian systems show a non-Hermitian skin effect, where the bulk states are
localized at a boundary of the systems with open boundary conditions. In this paper, we …

The non-Bloch band theory can describe energy bands in a one-dimensional (1D) non-
Hermitian system. On the other hand, whether the non-Bloch band theory can be extended …

Recently, it was discovered that certain non-Hermitian systems can exhibit qualitative
different properties at different system sizes, such as being gapless at small sizes and …

Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by
emergent anyons from the Fractional Quantum hall effect. Within the actively investigated …

The parity-time (PT) symmetry of a non-Hermitian Hamiltonian leads to real (complex)
energy spectrum when the non-Hermiticity is below (above) a threshold. Recently, it has …

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries
of the systems. This is called the non-Hermitian skin effect, and it has been studied mostly in …

The introduction of non-Hermiticity to topological systems profoundly modifies their
topological properties, leading to unprecedented phenomena beyond the descriptions of …

Non-Hermitian skin effects and exceptional points are topological phenomena characterized
by integer winding numbers. In this study, we give methods to theoretically detect skin effects …