scholarly journals Identifying Cn -symmetric higher-order topology and fractional corner charge using entanglement spectra

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
Penghao Zhu ◽  
Kieran Loehr ◽  
Taylor L. Hughes
Keyword(s):  
Higher Order ◽  
Order Topology

scholarly journals Non-Hermitian route to higher-order topology in an acoustic crystal

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
He Gao ◽  
Haoran Xue ◽  
Zhongming Gu ◽  
Tuo Liu ◽  
Jie Zhu ◽  
...  
Keyword(s):  
Higher Order ◽  
Order Topology ◽  
Topological Phases ◽  
Edge States ◽  
Experimental Realization ◽  
Artificial Materials ◽  
Intrinsic Loss ◽  
Topological Phases Of Matter ◽  
Hierarchical Features ◽  
Nontrivial Topology

AbstractTopological phases of matter are classified based on their Hermitian Hamiltonians, whose real-valued dispersions together with orthogonal eigenstates form nontrivial topology. In the recently discovered higher-order topological insulators (TIs), the bulk topology can even exhibit hierarchical features, leading to topological corner states, as demonstrated in many photonic and acoustic artificial materials. Naturally, the intrinsic loss in these artificial materials has been omitted in the topology definition, due to its non-Hermitian nature; in practice, the presence of loss is generally considered harmful to the topological corner states. Here, we report the experimental realization of a higher-order TI in an acoustic crystal, whose nontrivial topology is induced by deliberately introduced losses. With local acoustic measurements, we identify a topological bulk bandgap that is populated with gapped edge states and in-gap corner states, as the hallmark signatures of hierarchical higher-order topology. Our work establishes the non-Hermitian route to higher-order topology, and paves the way to exploring various exotic non-Hermiticity-induced topological phases.

scholarly journals Three-dimensional superconductors with hybrid higher-order topology

2019 ◽  
Vol 99 (12) ◽  
Author(s):  
Nick Bultinck ◽  
B. Andrei Bernevig ◽  
Michael P. Zaletel
Keyword(s):  
Three Dimensional ◽  
Higher Order ◽  
Order Topology

scholarly journals Möbius Insulator and Higher-Order Topology in MnBi2nTe3n+1

2020 ◽  
Vol 124 (13) ◽  
Author(s):  
Rui-Xing Zhang ◽  
Fengcheng Wu ◽  
S. Das Sarma
Keyword(s):  
Higher Order ◽  
Order Topology

scholarly journals Author Correction: Evidence of higher-order topology in multilayer WTe2 from Josephson coupling through anisotropic hinge states

2020 ◽  
Vol 19 (9) ◽  
pp. 1036-1036
Author(s):  
Yong-Bin Choi ◽  
Yingming Xie ◽  
Chui-Zhen Chen ◽  
Jinho Park ◽  
Su-Beom Song ◽  
...  
Keyword(s):  
Higher Order ◽  
Order Topology ◽  
Josephson Coupling

scholarly journals Higher-Order Topology of the Axion Insulator EuIn2As2

2019 ◽  
Vol 122 (25) ◽  
Author(s):  
Yuanfeng Xu ◽  
Zhida Song ◽  
Zhijun Wang ◽  
Hongming Weng ◽  
Xi Dai
Keyword(s):  
Higher Order ◽  
Order Topology
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