English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We devise a generic recipe for constructing $D$-dimensional lattice modelswhose $d$-dimensional boundary states, located on surfaces, hinges, corners,and so forth, can be obtained exactly. The solvability is rooted in theunderlying lattice structure and as such does not depend on fine tuning,allowing us to track their evolution throughout various phases and across phasetransitions. Most saliently, our models provide "boundary solvable" examples ofthe recently introduced higher-order topological phases. We apply our generalapproach to breathing and anisotropic kagome and pyrochlore lattices for whichwe obtain exact corner eigenstates, and to periodically driven two-dimensionalmodels as well as to three-dimensional lattices where we present exactsolutions corresponding to one-dimensional chiral states at the hinges of thelattice. We relate the higher-order topological nature of these models toreflection symmetries in combination with their provenance fromlower-dimensional conventional topological phases.

Lattice models with exactly solvable topological hinge and corner states