Skip to content
DraconiticResearch
Search Sources API
197,761 studies31 sourcesUpdated 56 min ago
PreprintarXiv licencearXiv

Resolving the spinon hierarchy of the Heisenberg antiferromagnet

  • Ian P. McCulloch
  • Jesse J. Osborne
Open at sourcePDFDOICite

Abstract

A local spin fluctuation in the spin-1/2 Heisenberg antiferromagnet creates an even number of fractional spinon excitations. We resolve its zero-temperature dynamical structure factor through six spinons directly in the thermodynamic limit. Beyond the established two-spinon contribution of 72.89%, the four-spinon response gives approximately 21.90% of the integrated intensity and six spinons contribute a further 4.3%, bringing the response to about 99% of both the intensity and first-frequency-moment sum rules. We derive momentum-independent first-moment fractions in the calculated sectors and a general upper-edge law Sn∼ An(k)(ωn,u−ω)(n2−3)/2 for every even n at nonzero momentum. The rapid growth of the edge exponent explains why the expanding multiparticle bandwidth carries very little high-energy weight, while higher sectors remain appreciable within the lower-sector continua.

Related

  1. Variational study of the magnetization plateaus in the spin-1/2 kagome Heisenberg antiferromagnet: An approach from vision transformer neural quantum states
    Andreas Raikos, Sylvain Capponi, Fabien Alet
    Physical Review BPeer-reviewedLicence not statedFull textCondensed matterHAL
  2. Theory of the 1/9 Magnetization Plateau of the Spin-1/2 Kagome Heisenberg Antiferromagnet
    Pratyay Ghosh, Frédéric Mila
    arXivPreprintCC BY-SA 4.0Full textCondensed matterarXiv
  3. Field-driven quantum phase transitions in a spin-1/2 Heisenberg antiferromagnet on an extended Lieb lattice
    David Sivy, Jozef Strecka
    arXivPreprintCC BY 4.0Full textStatistical & nonlinear physicsarXiv
  4. Evidence for a Dirac Spin Liquid in the Kagome Heisenberg Antiferromagnet from High-Precision Neural-Network Quantum States
    Zheng-Hang Sun, Christopher Roth, Ao Chen +1
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  5. Triplon thermal Hall response in a honeycomb-lattice J1-J2 Heisenberg antiferromagnet with Dzyaloshinskii--Moriya interactions
    Guilherme F. Figueiredo, E. Miranda, R. L. Doretto
    arXivPreprintCC BY 4.0Full textCondensed matterStatistical & nonlinear physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{mcculloch2026resolving,
  title = {{Resolving the spinon hierarchy of the Heisenberg antiferromagnet}},
  author = {Ian P. McCulloch and Jesse J. Osborne},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.42127},
  eprint = {2610.42127},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.42127},
}
RIS
TY  - UNPB
TI  - Resolving the spinon hierarchy of the Heisenberg antiferromagnet
AU  - Ian P. McCulloch
AU  - Jesse J. Osborne
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.42127
UR  - https://arxiv.org/abs/2610.42127
AB  - A local spin fluctuation in the spin-1/2 Heisenberg antiferromagnet creates an even number of fractional spinon excitations. We resolve its zero-temperature dynamical structure factor through six spinons directly in the thermodynamic limit. Beyond the established two-spinon contribution of 72.89%, the four-spinon response gives approximately 21.90% of the integrated intensity and six spinons contribute a further 4.3%, bringing the response to about 99% of both the intensity and first-frequency-moment sum rules. We derive momentum-independent first-moment fractions in the calculated sectors and a general upper-edge law S_n∼ A_n(k)(ω_n,u−ω)^(n^2−3)/2 for every even n at nonzero momentum. The rapid growth of the edge exponent explains why the expanding multiparticle bandwidth carries very little high-energy weight, while higher sectors remain appreciable within the lower-sector continua.
ER  -