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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the finite size effects of a three-dimensional second-ordertopological insulator with fourfold rotational symmetry and time-reversalsymmetry. Starting from the effective Hamiltonian of the three-dimensionalsecond-order topological insulator, we derive the effective Hamiltonian of fourtwo-dimensional surface states with gaps derived by perturbative methods. Then,the sign alternation of the mass term of the effective Hamiltonian on theadjacent surface leads to the hinge state. In addition, we obtain the effectiveHamiltonian and its wave function of one-dimensional gapless hinge states withsemi-infinite boundary conditions based on the effective Hamiltonian oftwo-dimensional surface states. In particular, we find that the hinge states onthe two sides of the same surface can couple to produce a finite energy gap.

Finite size effects on hinge states in three-dimensional second-order topological insulators