A conventional topological insulator (TI) has gapped bulk states but gapless edge states.
The emergence of the gapless edge states is dictated by the bulk topological invariant of the …

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 …

In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached
to both surface and hinge Fermi arcs. We identify a new type of Weyl node, which we dub a …

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

Robust fractional charge localized at disclination defects has recently been found as a
topological response in C 6-symmetric 2D topological crystalline insulators (TCIs). In this …

The topological property of a gapped odd-parity superconductor is jointly determined by its
pairing nodes and Fermi surfaces in the normal state. We reveal that the contractibility of …

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 …

The existence of topological hinge states is a key signature for a newly proposed class of
topological matter, the second-order topological insulators. In the present paper, a universal …

Higher-order topological insulators (HOTIs) have emerged as a new class of phases, whose
robust in-gap “corner” modes arise from the bulk higher-order multipoles beyond the dipoles …