Applications of φ-mapping theory in describing Weyl topological semimetals
In this study,we examine the topological classification of Weyl semimetals of Hermitian and non-Hermitian systems using φ-mapping topological current theory.We establish the(ø)fields in the momentum space by the given Hamiltonians of two-band sys-tems to define the topological charge density.We find that the topological charge density is nonzero only at the zeroes of the norm of the(ø)fields,and these zeroes are exactly where Weyl points or Weyl exceptional points are located.The quantized numbers obtained by integrating the topological charge density can be used as the topological numbers for topo-logical classification.
φ-mapping topological current theorytopological classificationWeyl semimetalsnon-Hermitian system
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