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PreprintCC BY 4.0arXiv

Magnetic Couplings in Half-Filled Bipartite Graphs

  • Georges Bouzerar
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Abstract

We break from perturbative frameworks to establish a non-perturbative generalization of magnetic exchange rules in half-filled bipartite networks. While historical models remain strictly tied to the debatable perturbation approach in the dilute limit and require the absence of zero-energy modes, our universal mechanism governs exchange interactions across arbitrary bipartite graphs. By bypassing traditional expansion bottlenecks, this framework provides an analytical predictive tool for magnetism in complex lattices, offering key design principles to engineer stable, long-range order in next-generation 2D spintronic devices

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Cite

BibTeXRIS
BibTeX
@misc{bouzerar2026magnetic,
  title = {{Magnetic Couplings in Half-Filled Bipartite Graphs}},
  author = {Georges Bouzerar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03548},
  eprint = {2609.03548},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03548},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Magnetic Couplings in Half-Filled Bipartite Graphs
AU  - Georges Bouzerar
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.03548
UR  - https://arxiv.org/abs/2609.03548
AB  - We break from perturbative frameworks to establish a non-perturbative generalization of magnetic exchange rules in half-filled bipartite networks. While historical models remain strictly tied to the debatable perturbation approach in the dilute limit and require the absence of zero-energy modes, our universal mechanism governs exchange interactions across arbitrary bipartite graphs. By bypassing traditional expansion bottlenecks, this framework provides an analytical predictive tool for magnetism in complex lattices, offering key design principles to engineer stable, long-range order in next-generation 2D spintronic devices
ER  -