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 …

The paradigmatic example of a topological phase of matter, the two-dimensional Chern
insulator,,,–, is characterized by a topological invariant consisting of a single integer, the …

Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention
and competing theories in recent years. In this brief review, we discuss the current …

We investigate disorder-driven topological phase transitions in quantized electric
quadrupole insulators in two dimensions. We show that chiral symmetry can protect the …

The physical realization of Chern insulators is of fundamental and practical interest, as they
are predicted to host the quantum anomalous Hall (QAH) effect and topologically protected …

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

We numerically study the effect of short-ranged potential disorder on massless
noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of …

We study the stability of three-dimensional incompressible Weyl semimetals in the presence
of random quenched charge impurities. Combining numerical analysis and scaling theory …

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

Abstract Time Reversal Symmetry (TRS) broken topological phases provide gapless surface
states protected by topology, regardless of additional internal symmetries, spin or valley …