The heat dissipation issue has now become one of the most important bottlenecks for power
electronics due to the rapid increase in power density and working frequency. Towards the …

Recently, topolectrical circuits (TECs) boom in studying the topological states of matter. The
resemblance between circuit Laplacians and tight-binding models in condensed matter …

Topological phases have recently witnessed rapid progress in non-Hermitian systems. Here
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …

The Aubry-André-Harper (AAH) model with a self-dual symmetry plays an important role in
studying the Anderson localization. Here we find a self-dual symmetry determining the …

Electronic properties of crystals are inherently pertained to crystalline symmetry, so that
amorphization that lowers and breaks symmetry is detrimental. One important crystalline …

We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in
electrical LC circuits, where the lattice sites are replaced by the electrical nodes, connected …

Higher-order topological insulators are established as topological crystalline insulators
protected by crystalline symmetries. One celebrated example is the second-order …

The mathematical foundation of quantum mechanics is built on linear algebra, while the
application of nonlinear operators can lead to outstanding discoveries under some …

Topological phases of matter are ubiquitous in crystals, but less is known about their
existence in amorphous systems, that lack long-range order. We review the recent progress …

Local topological markers, topological invariants evaluated by local expectation values, are
valuable for characterizing topological phases in materials lacking translation invariance …