Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
PW Brouwer, V Dwivedi - Physical Review B, 2023 - APS
The topological classification of gapped band structures depends on the particular definition
of topological equivalence. For translation-invariant systems, stable equivalence is defined …
of topological equivalence. For translation-invariant systems, stable equivalence is defined …
Magnetic high-order topological insulator in 2D layered CrOCl
High-order topological insulators (HOTIs) have garnered significant interest in recent years
due to their unique properties, but their material realization has thus far been limited to those …
due to their unique properties, but their material realization has thus far been limited to those …
Time-reversal soliton pairs in even spin Chern number higher-order topological insulators
Solitons formed through the one-dimensional mass-kink mechanism on the edges of two-
dimensional systems with nontrivial topology play an important role in the emergence of …
dimensional systems with nontrivial topology play an important role in the emergence of …
Towards complete characterization of topological insulators and superconductors: A systematic construction of topological invariants based on Atiyah-Hirzebruch …
S Ono, K Shiozaki - arXiv preprint arXiv:2311.15814, 2023 - arxiv.org
The past decade has witnessed significant progress in topological materials investigation.
Symmetry-indicator theory and topological quantum chemistry provide an efficient scheme to …
Symmetry-indicator theory and topological quantum chemistry provide an efficient scheme to …
Rotational symmetry protected edge and corner states in Abelian topological phases
Spatial symmetries can enrich the topological classification of interacting quantum matter
and endow systems with nontrivial strong topological invariants (protected by internal …
and endow systems with nontrivial strong topological invariants (protected by internal …
Effects of first-and second-order topological phases on equilibrium crystal shapes
Y Tanaka, S Murakami - Physical Review B, 2023 - APS
We study equilibrium crystal shapes of a topological insulator (TI), a topological crystalline
insulator (TCI) protected by mirror symmetry, and a second-order topological insulator …
insulator (TCI) protected by mirror symmetry, and a second-order topological insulator …
General corner charge formulas in various tetrahedral and cubic space groups
In some insulators, corner charges are fractionally quantized, due to the topological invariant
called a filling anomaly. The previous theories of fractional corner charges have been mostly …
called a filling anomaly. The previous theories of fractional corner charges have been mostly …
Stably protected gapless edge states without Wannier obstruction
Bulk-boundary correspondence serves as an important feature of topological insulators,
including Chern insulators and Z 2 topological insulators. These topological insulators have …
including Chern insulators and Z 2 topological insulators. These topological insulators have …
Theory of fractional corner charges in cylindrical crystal shapes
H Wada, T Zhang, S Murakami - arXiv preprint arXiv:2412.18871, 2024 - arxiv.org
Recent studies showed that topologically trivial insulators may have fractionally quantized
corner charges due to the topological invariant called a filling anomaly. Such crystal shapes …
corner charges due to the topological invariant called a filling anomaly. Such crystal shapes …
無義拓樸中之穩定保護無隙邊緣態
陳允中 - 2023 - tdr.lib.ntu.edu.tw
拓樸絕緣體是一種具有整體性拓樸或邊界性異常的一系列材料. 其中, 整體-邊界對應關係是拓樸
絕緣體中很重要的特徵, 包括陳絕緣體和Z2 拓樸絕緣體. 這些拓樸絕緣體具有威爾森迴圈光譜 …
絕緣體中很重要的特徵, 包括陳絕緣體和Z2 拓樸絕緣體. 這些拓樸絕緣體具有威爾森迴圈光譜 …