Matches in SemOpenAlex for { <https://semopenalex.org/work/W2896048582> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W2896048582 abstract "We study the homotopy classification of symmetry representations to describe the bulk topological invariants protected by the combined operation of a two-fold rotation $C_{2z}$ and time-reversal $T$ symmetries. We define topological invariants as obstructions to having smooth Bloch wave functions compatible with a momentum-independent symmetry representation. When the Bloch wave functions are required to be smooth, the information on the band topology is contained in the symmetry representation. This implies that the $d$-dimensional homotopy class of the unitary matrix representation of the symmetry operator corresponds to the $d$-dimensional topological invariants. Here, we prove that the second Stiefel-Whitney number, a two-dimensional topological invariant protected by $C_{2z}T$, is the homotopy invariant that characterizes the second homotopy class of the matrix representation of $C_{2z}T$. As an application of our result, we show that the three-dimensional bulk topological invariant for the $C_{2z}T$-protected topological crystalline insulator proposed by C. Fang and L. Fu in Phys. Rev. B 91, 161105(R) (2015), which we call the 3D strong Stiefel Whitney insulator, is identical to the quantized magnetoelectric polarizability. The bulk-boundary correspondence associated with the quantized magnetoelectric polarizability shows that the 3D strong Stiefel-Whitney insulator has chiral hinges states as well as 2D massless surface Dirac fermions. This shows that the 3D strong Stiefel Whitney insulator has the characteristics of both the first order and the second order topological insulators, simultaneously, which is consistent with the recent classification of higher-order topological insulators protected by an order-two symmetry." @default.
- W2896048582 created "2018-10-26" @default.
- W2896048582 creator A5076686983 @default.
- W2896048582 creator A5083635049 @default.
- W2896048582 date "2018-10-12" @default.
- W2896048582 modified "2023-09-27" @default.
- W2896048582 title "Higher-Order Topology of Three-Dimensional Strong Stiefel-Whitney Insulators" @default.
- W2896048582 hasPublicationYear "2018" @default.
- W2896048582 type Work @default.
- W2896048582 sameAs 2896048582 @default.
- W2896048582 citedByCount "0" @default.
- W2896048582 crossrefType "posted-content" @default.
- W2896048582 hasAuthorship W2896048582A5076686983 @default.
- W2896048582 hasAuthorship W2896048582A5083635049 @default.
- W2896048582 hasConcept C114614502 @default.
- W2896048582 hasConcept C121332964 @default.
- W2896048582 hasConcept C128911142 @default.
- W2896048582 hasConcept C184720557 @default.
- W2896048582 hasConcept C190470478 @default.
- W2896048582 hasConcept C202444582 @default.
- W2896048582 hasConcept C2524010 @default.
- W2896048582 hasConcept C33923547 @default.
- W2896048582 hasConcept C5961521 @default.
- W2896048582 hasConcept C62520636 @default.
- W2896048582 hasConcept C96469262 @default.
- W2896048582 hasConceptScore W2896048582C114614502 @default.
- W2896048582 hasConceptScore W2896048582C121332964 @default.
- W2896048582 hasConceptScore W2896048582C128911142 @default.
- W2896048582 hasConceptScore W2896048582C184720557 @default.
- W2896048582 hasConceptScore W2896048582C190470478 @default.
- W2896048582 hasConceptScore W2896048582C202444582 @default.
- W2896048582 hasConceptScore W2896048582C2524010 @default.
- W2896048582 hasConceptScore W2896048582C33923547 @default.
- W2896048582 hasConceptScore W2896048582C5961521 @default.
- W2896048582 hasConceptScore W2896048582C62520636 @default.
- W2896048582 hasConceptScore W2896048582C96469262 @default.
- W2896048582 hasLocation W28960485821 @default.
- W2896048582 hasOpenAccess W2896048582 @default.
- W2896048582 hasPrimaryLocation W28960485821 @default.
- W2896048582 hasRelatedWork W1501955150 @default.
- W2896048582 hasRelatedWork W1610819575 @default.
- W2896048582 hasRelatedWork W1855361620 @default.
- W2896048582 hasRelatedWork W2058349165 @default.
- W2896048582 hasRelatedWork W2335782526 @default.
- W2896048582 hasRelatedWork W2348657137 @default.
- W2896048582 hasRelatedWork W2472115515 @default.
- W2896048582 hasRelatedWork W2526795870 @default.
- W2896048582 hasRelatedWork W2595891925 @default.
- W2896048582 hasRelatedWork W2745571987 @default.
- W2896048582 hasRelatedWork W2950100175 @default.
- W2896048582 hasRelatedWork W2963301935 @default.
- W2896048582 hasRelatedWork W2979828692 @default.
- W2896048582 hasRelatedWork W3048900260 @default.
- W2896048582 hasRelatedWork W3098269946 @default.
- W2896048582 hasRelatedWork W3101073935 @default.
- W2896048582 hasRelatedWork W3101714103 @default.
- W2896048582 hasRelatedWork W3103694672 @default.
- W2896048582 hasRelatedWork W3104475803 @default.
- W2896048582 hasRelatedWork W3167194856 @default.
- W2896048582 isParatext "false" @default.
- W2896048582 isRetracted "false" @default.
- W2896048582 magId "2896048582" @default.
- W2896048582 workType "article" @default.