The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

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 …

We introduce novel higher-order topological phases of matter in chiral-symmetric systems
(class AIII of the tenfold classification), most of which would be misidentified as trivial by …

We identify the possibility of realizing higher order topological (HOT) phases in
noncrystalline or amorphous materials. Starting from two-and three-dimensional crystalline …

The quantum mechanical position operators, and their products, are not well-defined in
systems obeying periodic boundary conditions. Here we extend the work of Resta [Phys …

We propose many-body order parameters for bulk multipoles in crystalline systems,
whenever the bulk multipole moments can be defined in terms of the nontrivial topology of …

Quadrupole topological insulators are a new class of topological insulators with quantized
quadrupole moments, which support protected gapless corner states. The experimental …

In this Letter, we study three-dimensional non-Hermitian higher-order Dirac semimetals
(NHHODSMs). Our focus is on C 4-symmetric non-Hermitian systems where we investigate …

We study non-Hermitian higher-order Weyl semimetals (NHHOWSMs) possessing real
spectra and having inversion I (I-NHHOWSM) or time-reversal symmetry T (T-NHHOWSM) …

Higher-order topological (HOT) states, hosting topologically protected modes on lower-
dimensional boundaries, such as hinges and corners, have recently extended the realm of …