Non-Hermitian route to higher-order topology in an acoustic crystal
Sign Up to like & getrecommendations! Published in 2021 at "Nature Communications"
DOI: 10.1038/s41467-021-22223-y
Abstract: Topological phases of matter are classified based on their Hermitian Hamiltonians, whose real-valued dispersions together with orthogonal eigenstates form nontrivial topology. In the recently discovered higher-order topological insulators (TIs), the bulk topology can even exhibit… read more here.
Keywords: acoustic crystal; order topology; higher order; topology ... See more keywords
Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.184403
Abstract: The concept of free fermion topology has been generalized to d-dimensional phases that exhibit (d− n)-dimensional boundary modes, such as zero-dimensional (0D) corner excitations. Motivated by recent extensions of these ideas to magnetic systems, we… read more here.
Keywords: corner triplon; corner; topology; higher order ... See more keywords
High-Order Topology-Enhanced Graph Convolutional Networks for Dynamic Graphs
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14102218
Abstract: Understanding the evolutionary mechanisms of dynamic graphs is crucial since dynamic is a basic characteristic of real-world networks. The challenges of modeling dynamic graphs are as follows: (1) Real-world dynamics are frequently characterized by group… read more here.
Keywords: topology; dynamic graphs; order topology; high order ... See more keywords