Doubling theorem and boundary states of five-dimensional Weyl semimetal

Jing-Yuan Chen, Biao Lian, and Shou-Cheng Zhang
Phys. Rev. B 100, 075112 – Published 6 August 2019

Abstract

We study the generic band structures of the five-dimensional (5D) Weyl semimetal, in which the band degeneracies are 2D Weyl surfaces in the momentum space, and may have nontrivial linkings with each other if they carry nonzero second Chern numbers. We prove a number of theorems constraining the topological linking configurations of the Weyl surfaces, which can be viewed as a 5D generalization of the celebrated doubling theorem for 3D Weyl semimetal. As a direct physical consequence of these constraints, the 5D Weyl semimetal hosts a rich structure of topological boundary states. We show that on the 4D boundary of the 5D Weyl semimetal, there are 3D chiral Fermi hypersurfaces protected by bulk Weyl surfaces. On top of that, for bulk Weyl surfaces that are linked and carry nonzero second Chern numbers, the associated boundary 3D Fermi hypersurfaces will shrink to singularities at certain energies, which trace out a protected 1D Weyl nodal arc, in analogy to the Fermi arc on the 3D Weyl semimetal surface.

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  • Received 27 March 2019

DOI:https://doi.org/10.1103/PhysRevB.100.075112

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jing-Yuan Chen1, Biao Lian2, and Shou-Cheng Zhang1,3,*

  • 1Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA
  • 2Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA
  • 3Stanford Center for Topological Quantum Physics, Stanford University, Stanford, California 94305, USA

  • *Deceased.

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Issue

Vol. 100, Iss. 7 — 15 August 2019

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