Weyl Semimetal and Topological Phase Transition in Five Dimensions

Abstract

We study two Weyl semimetal generalizations in five dimensions (5d) which have Yang monopoles and linked Weyl surfaces in the Brillouin zone, respectively, and carry the second Chern number as a topological number. In particular, we show a Yang monopole naturally reduces to a Hopf link of two Weyl surfaces when the $\mathbf{TP}$ (time-reversal combined with space-inversion) symmetry is broken. We then examine the phase transition between insulators with different topological numbers in 5d. In analogy to the 3d case, 5d Weyl semimetals emerge as intermediate phases during the topological phase transition.

6 pages, 4 figures

References in corpus (6)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological surface states in nodal superconductors
• Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry
• A Five Dimensional Generalization of the Topological Weyl Semimetal
• Global topology of Weyl semimetals and Fermi arcs

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• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
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