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Non-Hermitian Weyl Semimetals: Non-Hermitian Skin Effect and non-Bloch Bulk-Boundary Correspondence

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arxiv 1904.02492 v1 pith:TQXDFJOW submitted 2019-04-04 cond-mat.mes-hall

Xiaosen Yang , Yang Cao , Yunjia Zhai This is my paper · ORCID
classification cond-mat.mes-hall
keywords non-hermitianbulk-boundarycorrespondencenon-blochsemimetalsedgetopologicalweyl
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We investigate novel features of three dimensional non-Hermitian Weyl semimetals, paying special attention to its unconventional bulk-boundary correspondence. We use the non-Bloch Chern numbers as the tool to obtain the topological phase diagram, which is also confirmed by the energy spectra from our numerical results. It is shown that, in sharp contrast to Hermitian systems, the conventional (Bloch) bulk-boundary correspondence breaks down in non-Hermitian topological semimetals, which is caused by the non-Hermitian skin effect. We establish the non-Bloch bulk-boundary correspondence for non-Hermitian Weyl semimetals: the Fermi-arc edge modes are determined by the non-Bloch Chern number of the bulk bands. Moreover, these Fermi-arc edge modes can manifest as the unidirectional edge motion, and their signatures are consistent with the non-Bloch bulk-boundary correspondence. Our work establish the non-Bloch bulk-boundary correspondence for non-Hermitian topological semimetals.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral coupling of magnons in waveguides

    cond-mat.mes-hall 2019-09 accept novelty 6.0 of 10

    Chiral magnon-photon coupling in a rectangular waveguide enables nonreciprocal magnon-magnon interactions and edge-localized superradiant modes in chains of ferromagnetic spheres.

  2. Magnon Accumulation in Chirally Coupled Magnets

    cond-mat.mtrl-sci 2019-09 conditional novelty 6.0 of 10

    Chiral photon-magnon coupling in a waveguide is predicted to drive magnon intensity into one edge of a magnet chain, with amplification over 100-fold as the coupling becomes unidirectional.

  3. Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions

    quant-ph 2019-08 conditional novelty 6.0 of 10

    Bulk wave-packet dynamics, through the drift-velocity dependence of the Lyapunov exponent, can reveal the non-Hermitian skin effect and non-Bloch symmetry-breaking transitions.

  4. Perspective on topological states of non-Hermitian lattices

    cond-mat.mes-hall 2019-09 conditional novelty 3.0 of 10

    A perspective review that attributes defectiveness in non-Hermitian lattices to boundary conditions of a hypothetical Hermitian parent system.

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