Higher-order band topology

B Xie, 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 …

Topological phononic metamaterials

W Zhu, W Deng, Y Liu, J Lu, HX Wang… - Reports on Progress …, 2023 - iopscience.iop.org
The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Topology and broken symmetry in Floquet systems

F Harper, R Roy, MS Rudner… - Annual Review of …, 2020 - annualreviews.org
Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

Higher-order topological insulators in amorphous solids

A Agarwala, V Juričić, B Roy - Physical Review Research, 2020 - APS
We identify the possibility of realizing higher order topological (HOT) phases in
noncrystalline or amorphous materials. Starting from two-and three-dimensional crystalline …

Dynamical singularities of floquet higher-order topological insulators

H Hu, B Huang, E Zhao, WV Liu - Physical Review Letters, 2020 - APS
We propose a versatile framework to dynamically generate Floquet higher-order topological
insulators by multistep driving of topologically trivial Hamiltonians. Two analytically solvable …

Higher-order topological hyperbolic lattices

YL Tao, Y Xu - Physical Review B, 2023 - APS
A hyperbolic lattice allows for any p-fold rotational symmetry, in stark contrast to a two-
dimensional crystalline material, where only 2-fold, 3-fold, 4-fold, or 6-fold rotational …

Higher-order topological odd-parity superconductors

Z Yan - Physical review letters, 2019 - APS
The topological property of a gapped odd-parity superconductor is jointly determined by its
pairing nodes and Fermi surfaces in the normal state. We reveal that the contractibility of …

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 …

Floquet higher-order topological insulators with anomalous dynamical polarization

B Huang, WV Liu - Physical Review Letters, 2020 - APS
Higher-order topological insulators (HOTIs) have emerged as a new class of phases, whose
robust in-gap “corner” modes arise from the bulk higher-order multipoles beyond the dipoles …