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 …

Second-order topological phases in artificial systems have been extensively studied, but
studies in the phonons of atomic materials are limited. In this paper, we propose that …

In recent years, first-order and second-order topological phonons have been discovered in
crystalline materials, which has aroused great interest. In the present work, through …

Traditional electronic devices rely on the electron's intrinsic degrees of freedom (dof) to
process information. However, additional dof, like the valley, can emerge in the low-energy …

High-order topological insulators (HOTIs) have garnered significant interest in recent years
due to their unique properties, but their material realization has thus far been limited to those …

In two dimensions, intrinsic second-order topological insulators (SOTIs) are characterized by
topological corner states that emerge at the intersections of distinct edges with reversed …

In two-dimensional (2D) materials, breaking the inversion symmetry plays an important role
in valleytronics. Ferrovalley (FV) materials can achieve spontaneous valley polarization (VP) …

Higher-order topological corner states have been realized in a two-dimensional Kekulé
lattice, which can be further coupled with spin polarization through the implementation of …

Two-dimensional (2D) higher-order topological fermionic phases coexisting with intriguing
topological phonon states have recently become a focal point of condensed matter research …

Biphenylene network, a two-dimensional material, has recently been extensively studied,
owing to its potential applications. Here, we introduce an experimentally synthesized …