FRAGILE PHASES AS AFFINE MONOIDS: CLASSIFICATION AND MATERIAL EXAMPLES

Topological phases in electronic structures contain a new type of topology, called fragile, which can arise, for example, when an elementary band representation (atomic limit band) splits into a particular set of bands.For the first time, we obtain a complete green and gold masquerade mask classification of the fragile topological phases, which can

Abstract Background Autonomous underwater vehicles (AUVs) and animal telemetry have become important tools for understanding the relationships between aquatic organisms and their environment, but more information is needed to guide the development and use of AUVs as effective animal tracking platforms.A forward-facing acoustic telemetry receiver (V