We study the single- A nd double-Λ hypernuclei in Zr isotopes with the Hartree-Fock-Bogoliubov model and Skyrme-type nucleon-nucleon, Λ-nucleon, and Λ-Λ interactions. We found two peculiar features of the Λ hyperon halo phenomena that have never been found in nuclei without the strangeness degree of freedom. One is the d-wave halo, and the other is a bunch of three halo orbits just below the Λ hyperon threshold in 137Λ Zr and also in 138Λ Zr. We name these exotic halo phenomena giant hyperon halos in hypernuclei whose core nucleus 136Zr was predicted to have a "giant neutron halo."The interaction between Λ hyperons and the neutrons is responsible for inducing giant hyperon halo phenomena in the single- A nd double-Λ nuclei 137Λ Zr and 138ΛΛZr.
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