Higher-order non-Hermitian skin effect
By K. Kawabata, Masatoshi Sato, Ken Shiozaki. 2020
231 citations recorded by the source corpus.
The non-Hermitian skin effect is a unique feature of non-Hermitian systems, in which an extensive number of boundary modes appear under the open boundary conditions. Here, we discover higher-order counterparts of the non-Hermitian skin effect that exhibit new boundary physics. In two-dimensional systems with the system size $L \times L$, while the conventional (first-order) skin effect accompanies $O\,( L^{2} )$ skin modes, the second-order skin effect accompanies $O\,( L )$ corner skin modes. This also contrasts with Hermitian second-order topological insulators, in which only $O\,( 1 )$ corner zero modes appear. Moreover, for the third-order skin effect in three dimensions, $O\,( L )$ corner skin modes appear from all $O\,( L^{3} )$ modes. We demonstrate that the higher-order skin effect originates from intrinsic non-Hermitian topology protected by spatial symmetry. We also show that it accompanies the modification of the non-Bloch band theory in higher dimensions.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/199f04a85c3132c1fb646c95ffc4d3f22218d1c1
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- A review on non-Hermitian skin effect (2022, methodology): “[95], the Wess-Zumino term was introduced to specifically explain the emergence of the corner skin modes in the non-Hermitian lattice under study.”
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect (2022, background): “Different types of skin effects appear in non-Hermitian higher-dimensional systems, such as the chiral magnetic skin effect [110, 160–162], higher-order skin effect [163, 164], and defect-induced skin effect [165–167].”