We elaborate that for topological insulators and topological superconductors described by
Dirac models in any dimension and symmetry class, the topological order can be mapped to …

A unified expression for topological invariants was proposed recently to describe the
topological order in Dirac models belonging to any dimension and symmetry class. We …

The quantum geometry in the momentum space of semiconductors and insulators,
described by the quantum metric of the valence-band Bloch state, has been an intriguing …

The momentum space of topological insulators and topological superconductors is
equipped with a quantum metric defined from the overlap of neighboring valence band …

The investigation and characterization of topological quantum phase transition between
gapless phases is one of the recent interest of research in topological states of matter. We …

Topological phases of materials are characterized by topological invariants that are
conventionally calculated by different means according to the dimension and symmetry …

Ideal Chern insulating phases arise in two-dimensional systems with broken time-reversal
symmetry. They are characterized by having nearly flat bands, and a uniform quantum …

The Kitaev model on the honeycomb lattice is a paradigmatic system known to host a wealth
of nontrivial topological phases and Majorana edge modes. In the static case, the Majorana …

The interplay between topology and criticality has been a recent interest of study in
condensed matter physics. A unique topological transition between certain critical phases …

Extended-range models are the interesting systems, which has been widely used to
understand the non-local properties of the fermions at quantum scale. We aim to study the …