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

Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Topological phases of matter have been extensively investigated in solid-state materials and
classical wave systems with integer dimensions. However, topological states in non-integer …

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-
dimensional lattice consisting of helical waveguides. The helical modulation induces an …

We propose and experimentally demonstrate the first example of Chern fractal insulators in
an acoustic Sierpinski lattice. Through introducing fractality into the well-known Haldane …

Higher-order topological insulators (HOTIs) are unique materials hosting topologically
protected states, whose dimensionality is at least by 2 lower than that of the bulk …

Higher-order topological insulators, which support lower-dimensional topological boundary
states than the first-order topological insulators, have been intensely investigated in the …

We calculate the Hall conductivity of a Sierpiński carpet using Kubo-Bastin formula. The
quantization of Hall conductivity disappears when we increase the depth of the fractal, and …

Electronic materials harbor a plethora of exotic quantum phases, ranging from
unconventional superconductors to non-Fermi liquids and, more recently, topological …

The discovery of novel topological states has served as a major branch in physics and
material sciences. To date, most of the established topological states have been employed …