Higher-order band topology

B **e, HX Wang, X Zhang, P Zhan, JH Jiang… - Nature Reviews …, 2021 - nature.com
A conventional topological insulator (TI) has gapped bulk states but gapless edge states.
The emergence of the gapless edge states is dictated by the bulk topological invariant of the …

Higher-order topological phases in crystalline and non-crystalline systems: a review

YB Yang, JH Wang, K Li, Y Xu - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Non-Hermitian higher-order topological superconductors in two dimensions: Statics and dynamics

AK Ghosh, T Nag - Physical Review B, 2022 - APS
Being motivated by intriguing phenomena, such as the breakdown of conventional bulk
boundary correspondence and the emergence of skin modes in the context of non-Hermitian …

Time-periodic corner states from Floquet higher-order topology

W Zhu, H Xue, J Gong, Y Chong, B Zhang - Nature Communications, 2022 - nature.com
The recent discoveries of higher-order topological insulators (HOTIs) have shifted the
paradigm of topological materials, previously limited to topological states at boundaries of …

Hierarchy of higher-order Floquet topological phases in three dimensions

T Nag, V Juričić, B Roy - Physical Review B, 2021 - APS
Following a general protocol of periodically driving static first-order topological phases
(supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses …

Floquet generation of a second-order topological superconductor

AK Ghosh, T Nag, A Saha - Physical Review B, 2021 - APS
We theoretically investigate the Floquet generation of a second-order topological
superconducting (SOTSC) phase hosting Majorana corner modes (MCMs), considering a …

Hierarchy of higher-order topological superconductors in three dimensions

AK Ghosh, T Nag, A Saha - Physical Review B, 2021 - APS
After exploring much on two-dimensional higher-order topological superconductors
(HOTSCs) hosting Majorana corner modes (MCMs) only, we propose a simple fermionic …

Floquet higher-order topological insulator in a periodically driven bipartite lattice

W Zhu, YD Chong, J Gong - Physical Review B, 2021 - APS
Floquet higher-order topological insulators (FHOTIs) are a novel topological phase that can
occur in periodically driven lattices. An appropriate experimental platform to realize FHOTIs …

Floquet second-order topological insulators in non-Hermitian systems

H Wu, BQ Wang, JH An - Physical Review B, 2021 - APS
Second-order topological insulator (SOTI) is featured with the presence of (d− 2)-
dimensional boundary states in d-dimension systems. The non-Hermiticity induced …

Systematic generation of the cascade of anomalous dynamical first-and higher-order modes in Floquet topological insulators

AK Ghosh, T Nag, A Saha - Physical Review B, 2022 - APS
After extensive investigation of the Floquet second-order topological insulator (FSOTI) in two
dimensions, here we propose two driving schemes to systematically engineer the hierarchy …