Non-Hermitian Chiral Skin Effect

• URL: http://arxiv.org/abs/2304.01422v2
• Date: Mon, 24 Jul 2023 15:09:20 GMT
• Title: Non-Hermitian Chiral Skin Effect
• Authors: Xinran Ma, Kui Cao, Xiaoran Wang, Zheng Wei, Supeng Kou
• Abstract summary: We discover an alternative form of the non-Hermitian skin effect called the non-Hermitian chiral skin effect (NHCSE) NHCSE is a non-Hermitian skin effect under periodic boundary condition rather than open boundary condition. As a result, the intrinsic mechanism of the hybrid skin-topological effect in Chern insulators is fully understood via NHCSE.
• Score: 0.10499611180329801
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The interplay between non-Hermitian effects and topological insulators has become a frontier of research in non-Hermitian physics. However, the existence of a non-Hermitian skin effect for topological-protected edge states remains controversial. In this paper, we discover an alternative form of the non-Hermitian skin effect called the non-Hermitian chiral skin effect (NHCSE). NHCSE is a non-Hermitian skin effect under periodic boundary condition rather than open boundary condition. Specifically, the chiral modes of the NHCSE localize around \textquotedblleft topological defects\textquotedblright characterized by global dissipation rather than being confined to the system boundaries. We show its detailed physical properties by taking the non-Hermitian Haldane model as an example. As a result, the intrinsic mechanism of the hybrid skin-topological effect in Chern insulators is fully understood via NHCSE. Therefore, this progress will be helpful for solving the controversial topic of hybrid skin-topological effect and thus benefit the research on both non-Hermitian physics and topological quantum states.

Related papers

• Topological Order in the Spectral Riemann Surfaces of Non-Hermitian Systems [44.99833362998488]
  We show topologically ordered states in the complex-valued spectra of non-Hermitian systems. These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated. We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
  arXiv  Detail & Related papers  (2024-10-24T10:16:47Z)
• Anomalous symmetry protected blockade of skin effect in one-dimensional non-Hermitian lattice systems [20.4728241808175]
  We present a theorem which shows that the combined spatial reflection symmetry can be considered as a criterion in one-dimensional non-Hermitian systems. Our results reveal a profound connection between the symmetry and the fate of NHSE.
  arXiv  Detail & Related papers  (2024-07-29T07:57:59Z)
• Non-chiral non-Bloch invariants and topological phase diagram in non-unitary quantum dynamics without chiral symmetry [26.179241616332387]
  We identify the non-Bloch topological phase diagram of a one-dimensional (1D) non-Hermitian system without chiral symmetry. We find that such topological invariants can distinguish topologically distinct gapped phases. Our work provides a useful platform to study the interplay among topology, symmetries and the non-Hermiticity.
  arXiv  Detail & Related papers  (2024-07-26T03:29:30Z)
• A brief review of hybrid skin-topological effect [0.0]
  The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases. Hybrid skin-topological effect (HSTE) is a class of newly discovered non-Hermitian topological states.
  arXiv  Detail & Related papers  (2023-09-13T02:24:34Z)
• Lack of near-sightedness principle in non-Hermitian systems [0.0]
  We show that the non-Hermitian skin effect is not a topological phenomenon in general. When translation symmetry is broken by a single non-Hermitian impurity, skin modes are depleted at the boundary and accumulate at the impurity site.
  arXiv  Detail & Related papers  (2023-08-01T18:29:05Z)
• Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects [20.88126933913389]
  We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries. We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
  arXiv  Detail & Related papers  (2023-05-21T04:34:05Z)
• Topological enhancement of non-normality in non-Hermitian skin effects [0.0]
  The non-Hermitian skin effects are representative intrinsic phenomena to non-Hermitian systems. This paper reveals that topological enhancement of non-normality under the open boundary condition accurately quantifies the non-Hermitian skin effects.
  arXiv  Detail & Related papers  (2023-04-13T17:36:38Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• Non-Hermitian skin effect edge [0.0]
  Non-Hermitian skin effect (NHSE) is a unique phenomenon studied intensively in non-Hermitian systems. Our work reveals the intricate interplay between NHSE and nonreciprocal hopping in non-Hermitian systems.
  arXiv  Detail & Related papers  (2022-09-26T09:30:29Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect [3.4842459720439676]
  Systems with non-Hermitian skin effects are very sensitive to imposed boundary conditions and lattice size. We show that non-Hermitian skin effects can survive when deviating from the open boundary condition. We also demonstrate that the non-Hermitian Su-Schreieffer-Heeger model exhibits a new phase diagram in the boundary critical line.
  arXiv  Detail & Related papers  (2021-02-07T11:33:25Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.