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 …

The mutual competition and synergy of magnetism and superconductivity provide us with a
very valuable opportunity to access topological superconductivity and Majorana fermions …

We analyze the topological properties of a chiral p+ ip superconductor for a two-dimensional
metal and semimetal with four Dirac points. Such a system has been proposed to realize …

Using a realistic band structure for twisted WSe 2 materials, we develop a theory for the
interaction-driven correlated insulators to conducting metals transitions through the tuning of …

Topological crystalline superconductors have attracted rapidly rising attention due to the
possibility of higher-order phases, which support Majorana modes on boundaries in d− 2 or …

We propose a minimalist architecture for achieving various crystalline-symmetry-protected
Majorana modes in an array of coupled quantum dots. Our framework is motivated by the …

We analyze the topological properties of the possible superconducting states emerging from
a Cd 3 As 2-like, C 4-symmetric Dirac semimetal, with two fourfold-degenerate Dirac points …

The abundance of bulk and boundary topologies in higher-order topological phases offer
remarkable tunability and diversity to boundary states but also pose a challenge to their …

For two-and three-dimensional topological insulators whose unit cells consist of multiple
sublattices, the boundary terminating at which type of sublattice can affect the time-reversal …