Transverse magnetic susceptibility of a frustrated spin-½ J1-J2-J1 Heisenberg antiferromagnet on a bilayer honeycomb lattice

P.H.Y. Li, R.F. Bishop

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    Abstract

    We use the coupled cluster method (CCM) to study a frustrated spin-½ J1J2J1  Heisenberg antiferromagnet on a bilayer honeycomb lattice with AA stacking.  Both nearest-neighbor (NN) and frustrating next-nearest-neighbor antiferromagnetic (AFM) exchange interactions are present in each layer, with respective exchange coupling constants J1 > 0 and J2 ≡ κ J1 > 0. The two
    layers are coupled with NN AFM exchanges with coupling strength J1 ≡ δ J1 > 0.  We calculate to high orders of approximation within the CCM the zero-field transverse magnetic susceptibility χ in the Néel phase.  We thus obtain an accurate estimate of the full boundary of the Néel phase in the κδ plane for the zero-temperature quantum phase diagram.  We demonstrate explicitly that
    the phase boundary derived from χ is fully consistent with that obtained from the vanishing of the Néel magnetic order parameter.  We thus conclude that at all points along the Néel phase boundary quasiclassical magnetic order gives way to a nonclassical paramagnetic phase with a nonzero energy gap.  The Néel phase boundary exhibits a marked reentrant behavior, which we discuss
    in detail.
    Original languageEnglish
    Title of host publicationAIP Conference Proceedings
    Volume1912
    DOIs
    Publication statusPublished - 2017

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