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  • Letter
  • Open Access

Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism

Johannes Mitscherling and Walter Metzner

  • Max Planck Institute for Solid State Research, D-70569 Stuttgart, Germany

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Phys. Rev. B 104, L201107 – Published 15 November, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L201107

Abstract

We study the emergence of non-Hermitian band topology in a two-dimensional metal with planar spiral magnetism due to a momentum-dependent relaxation rate. A sufficiently strong momentum dependence of the relaxation rate leads to exceptional points in the Brillouin zone, where the Hamiltonian is nondiagonalizable. The exceptional points appear in pairs with opposite topological charges and are connected by arc-shaped branch cuts. We show that exceptional points inside hole and electron pockets, which are generally present in a spiral magnetic state with a small magnetic gap, can cause a drastic change of the Fermi surface topology by merging those pockets at isolated points in the Brillouin zone. We derive simple rules for the evolution of the eigenstates under semiclassical motion through these crossing points, which yield geometric phases depending only on the Fermi surface topology. The spectral function observed in photoemission exhibits Fermi arcs. Its momentum dependence is smooth—despite of the nonanalyticities in the complex quasiparticle band structure.

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Phys. Rev. B 104, L201107– Published 15 November, 2021
  • Received 27 July 2021
  • Revised 14 October 2021
  • Accepted 2 November 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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