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Magnons in multiorbital Hubbard models: From Lieb to kagome lattices

Teng-Fei Ying1,2, Hugo U. R. Strand3, Benjamin T. Zhou2, and Erik G. C. P. van Loon1,4

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Phys. Rev. B 114, 175109 – Published 8 September, 2026

DOI: https://doi.org/10.1103/gcdq-mdgr

Abstract

We investigate the magnetic orders and excitations in a half-filled Hubbard model that continuously interpolates between the Lieb and kagome lattices. Using the self-consistent Hartree-Fock approximation combined with the Bethe-Salpeter equation in the random phase approximation, we map the U−t′ phase diagram of the Lieb-kagome lattices and compute real-frequency transverse spin susceptibilities, i.e., the magnon spectra. Dynamical mean-field theory and exact diagonalization are used as complementary checks of static magnetic phases. In particular, besides gapless Goldstone magnons, the symmetry-broken ferrimagnetic and antiferromagnetic phases also exhibit gapped Higgs magnon bands, which originate from amplitude fluctuations in the order parameter characterizing spontaneous symmetry breaking.

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Outline

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Phys. Rev. B 114, 175109– Published 8 September, 2026
  • Received 21 January 2026
  • Revised 17 August 2026
  • Accepted 20 August 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. Funded by Bibsam.

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