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Green’s function theory of magnetism in Bi2CuO4: Anisotropic Heisenberg XYZ model

R. O. Kuzian1,2,* and E. E. Krasovskii1,3,4

  • *Contact author: r.kuzian@ipms.kyiv.ua
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Phys. Rev. Research 8, 033136 – Published 4 August, 2026

DOI: https://doi.org/10.1103/bn1b-mt34

Abstract

The Green’s function theory of Lymar’ and Rudoi [Theor. Math. Phys. 21, 990 (1974)] is generalized to the case of multiple intra- and intersublattice magnetic interactions in a collinear spin-half antiferromagnet and applied to magnetic excitations in Bi2CuO4. The spin Hamiltonian includes both the out-of-plane and in-plane symmetric anisotropy terms and the Zeeman term, which describes the interaction with an external magnetic field B applied along the Néel vector. Within the spin-wave approximation, we calculate spin excitation dispersion, antiferromagnetic resonance frequencies, and the critical field Bc of the spin-flop metamagnetic transition. A weak in-plane anisotropy is shown to result in a gap in the acousticlike branch of the excitations. The gap nonlinearly depends on the external field and closes at B=Bc. An expression for the Néel temperature in the Tyablikov random phase approximation at zero field is derived. For the parameters derived from the recent inelastic neutron scattering study by Yuan et al. [Phys. Rev. B 103, 134436 (2021)], it gives TN≈52K.

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Phys. Rev. Research 8, 033136– Published 4 August, 2026
  • Received 23 March 2026
  • Accepted 17 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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