Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals

Kristof Moors, Alexander A Zyuzin, Alexander Yu Zyuzin, Rakesh P. Tiwari, Thomas L. Schmidt

Research output: Contribution to journalArticleScientificpeer-review

43 Citations (Scopus)
196 Downloads (Pure)


We consider the impact of disorder on the spectrum of three-dimensional nodal-line semimetals. We show that the combination of disorder and a tilted spectrum naturally leads to a non-Hermitian self-energy contribution that can split a nodal line into a pair of exceptional lines. These exceptional lines form the boundary of an open and orientable bulk Fermi ribbon in reciprocal space on which the energy gap vanishes. We find that the orientation and shape of such a disorder-induced bulk Fermi ribbon is controlled by the tilt direction and the disorder properties, which can also be exploited to realize a twisted bulk Fermi ribbon with nontrivial winding number. Our results put forward a paradigm for the exploration of non-Hermitian topological phases of matter.

Original languageEnglish
Article number041116
Pages (from-to)1-5
JournalPhysical Review B
Issue number4
Publication statusPublished - 22 Jan 2019
MoE publication typeA1 Journal article-refereed

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