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 …

Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

This is a joint publication with the paper by Huang and Liu [Phys. Rev. Lett. 121, 126401
(2018) 10.1103/PhysRevLett. 121.126401]. In this work, we propose the spin Bott index to …

That disorder can induce nontrivial topology is a surprising discovery in topological physics.
As a typical example, Chern topological Anderson insulators (TAIs) have been realized in …

Weyl semimetals are gapless quasitopological materials with a set of isolated nodal points
forming their Fermi surface. They manifest their quasitopological character in a series of …

We derive formulas and algorithms for Kitaev's invariants in the periodic table for topological
insulators and superconductors for finite disordered systems on lattices with boundaries. We …

Weak topological phases are usually described in terms of protection by the lattice
translation symmetry. Their characterization explicitly relies on periodicity since weak …

We propose a definition of a Z 2 topological invariant for magnon spin Hall systems which
are the bosonic analog of two-dimensional topological insulators in class AII. The existence …

Three-dimensional random electron systems undergo quantum phase transitions and show
rich phase diagrams. Examples of the phases are the band gap insulator, Anderson …

Since the theoretical prediction and experimental observation of the magnon thermal Hall
effect, a variety of novel phenomena that may occur in magnonic systems have been …