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 …

Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

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 …

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 …

Organic higher-order topological insulators: heterotriangulene-based covalent organic frameworks

X Ni, H Huang, JL Brédas - Journal of the American Chemical …, 2022 - ACS Publications
The ability to design and control the chemical characteristics of covalent organic frameworks
(COFs) offers a new avenue for the development of functional materials, especially with …

Lattice-symmetry-assisted second-order topological superconductors and Majorana patterns

XH Pan, KJ Yang, L Chen, G Xu, CX Liu, X Liu - Physical review letters, 2019 - APS
We propose a realization of the lattice-symmetry-assisted second-order topological
superconductors with corner Majorana zero modes (MZM) based on two-dimensional …

Fractonic superfluids

JK Yuan, SA Chen, P Ye - Physical Review Research, 2020 - APS
We propose a superfluid phase of “many-fracton system” in which charge and total dipole
moments are conserved quantities. In this work, both microscopic model and long …

Symmetry indicators of band topology

HC Po - Journal of Physics: Condensed Matter, 2020 - iopscience.iop.org
Topological materials are quantum materials with nontrivial ground-state entanglement that
are irremovable so long as certain rules, like invariance under symmetries and the existence …

Majorana corner and hinge modes in second-order topological insulator/superconductor heterostructures

Z Yan - Physical Review B, 2019 - APS
As platforms of Majorana modes, topological insulator (quantum anomalous Hall insulator)/
superconductor heterostructures have attracted tremendous attention over the past decade …

Multipolar topological field theories: Bridging higher order topological insulators and fractons

Y You, FJ Burnell, TL Hughes - Physical Review B, 2021 - APS
Two new recently proposed classes of topological phases, namely, fractons and higher
order topological insulators (HOTIs), share at least superficial similarities. The wide variety of …