Topological Origin of Non-Hermitian Skin Effects.

By N. Okuma, K. Kawabata, Ken Shiozaki, Masatoshi Sato. Physical Review Letters, 2019

962 citations recorded by the source corpus.

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not merely explains the universal feature of the known skin effect, but also leads to new types of the skin effects-symmetry-protected skin effects. In particular, we discover the Z_{2} skin effect protected by time-reversal symmetry. On the basis of topological classification, we also discuss possible other skin effects in arbitrary dimensions. Our work provides a unified understanding about the bulk-boundary correspondence and the skin effects in non-Hermitian systems.

Subfields: Atomic and Molecular Physics, and Optics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/4083e4191fd1b0c3b6ac879edffba4df6bc33c6b

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Citations in the corpus

Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class (2020, methodology): “To elucidate such a non-Bloch feature of non-Hermitian systems, recent works have developed a non-Bloch band theory that works even under arbitrary boundary conditions [25, 27, 30, 34, 40, 53, 54].”
Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect (2022, methodology): “Moreover, the skin effect originates from the topological invariants intrinsic to non-Hermitian systems [111, 121, 122].”
Higher-order non-Hermitian skin effect (2020, background): “Since the presence of the zero modes in the extended Hermitian Hamiltonian leads to the skin effect in the non-Hermitian Hamiltonian [81], the bulk WZ term leads to the corner skin effect.”
A review on non-Hermitian skin effect (2022, background): “While some of the eigenstates are forbidden due to the finite length, the spectrum under the semi-infinite condition still includes the spectrum under the full OBCs as the former is the extrapolation of the latter under L!1, where L denotes the chain length [43].”
Exceptional topology of non-Hermitian systems (2019, background): “…are confined to the lower complex half-plane a global shift can make the system effectively PT -symmetric in a description, where the less lossy waveguides thus effectively experience gain (Feng et al., 2013; Guo et al., 2009; Kremer et al., 2019; Ornigotti and Szameit, 2014; Weimann et al., 2017).”