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Flat band in disorder-driven non-Hermitian Weyl semimetals
KTH, School of Engineering Sciences (SCI), Physics.
2018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 97, no 4, article id 041203Article in journal (Refereed) Published
Abstract [en]

We study the interplay of disorder and band-structure topology in a Weyl semimetal with a tilted conical spectrum around the Weyl points. The spectrum of particles is given by the eigenvalues of a non-Hermitian matrix, which contains contributions from a Weyl Hamiltonian and complex self-energy due to electron elastic scattering on disorder. We find that the tilt-induced matrix structure of the self-energy gives rise to either a flat band or a nodal line segment at the interface of the electron and hole pockets in the bulk band structure of type-II Weyl semimetals depending on the Weyl cone inclination. For the tilt in a single direction in momentum space, each Weyl point expands into a flat band lying on the plane, which is transverse to the direction of the tilt. The spectrum of the flat band is fully imaginary and is separated from the in-plane dispersive part of the spectrum by the "exceptional nodal ring" where the matrix of the Green's function in momentum-frequency space is defective. The tilt in two directions might shrink a flat band into a nodal line segment with "exceptional edge points." We discuss the connection to the non-Hermitian topological theory.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2018. Vol. 97, no 4, article id 041203
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-222184DOI: 10.1103/PhysRevB.97.041203ISI: 000423121900002Scopus ID: 2-s2.0-85040913943OAI: oai:DiVA.org:kth-222184DiVA, id: diva2:1180605
Note

QC 20180206

Available from: 2018-02-06 Created: 2018-02-06 Last updated: 2018-02-06Bibliographically approved

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