Non-Hermitian Skin Modes Induced by On-Site Dissipations and Chiral Tunneling Effect
Yifei Yi,Zhesen Yang +1 more
TLDR
A no-go theorem for the emergence of skin modes is revealed and paves the way for searching for quantum systems with skin modes and studying their novel physical responses.Abstract:
In this Letter, we study the conditions under which on-site dissipations can induce non-Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian has spinless time-reversal symmetry, it is impossible to have skin modes; on the other hand, if the Hermitian Hamiltonian has spinful time-reversal symmetry, skin modes can be induced by on-site dissipations under certain circumstances. As a concrete example, we employ the Rice-Mele model to illustrate our results. Furthermore, we predict that the skin modes can be detected by the chiral tunneling effect; that is, the tunneling favors the direction where the skin modes are localized. Our Letter reveals a no-go theorem for the emergence of skin modes and paves the way for searching for quantum systems with skin modes and studying their novel physical responses.read more
Citations
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Non-Hermitian Physics
TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
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Topological Band Theory for Non-Hermitian Hamiltonians
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Anomalous Edge State in a Non-Hermitian Lattice
TL;DR: It is shown that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity and a one-dimensional tight-binding model with gain and loss as well as long-range hopping is considered.
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Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory
TL;DR: In this article, the generalized Brillouin zone (GBZ) is calculated analytically in one-dimensional non-Hermitian systems, which helps us to understand the non-hermitian bulk-boundary correspondence.
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Higher-order non-Hermitian skin effect
TL;DR: In this paper, higher-order versions of the non-Hermitian skin effect have been discovered in two-dimensional systems with the system size L×L, where the conventional (first-order) skin effect accompanies O(L2) skin modes, while the second-order skin effect accompanied O (L) corner skin modes.
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