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PreprintCC BY 4.0arXiv

Magnon Klein paradox

  • D. Wang
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Abstract

By considering the energy transport of spin wave, we show that, like the electron Klein paradox, there is no magnon Klein paradox for reflectivity. Heuristically, this can be understood according to the fact that, even if the ground state is unstable, any energy-carrying wave cannot have greater-than-one reflectivity off a passive interface, which will violate the conservation of energy. The magnon Klein paradox discussed in the literature is derived from assigning a wrong sign to the transmitted spin wave.

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Cite

BibTeXRIS
BibTeX
@misc{wang2026magnon,
  title = {{Magnon Klein paradox}},
  author = {D. Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14648},
  eprint = {2610.14648},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14648},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Magnon Klein paradox
AU  - D. Wang
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.14648
UR  - https://arxiv.org/abs/2610.14648
AB  - By considering the energy transport of spin wave, we show that, like the electron Klein paradox, there is no magnon Klein paradox for reflectivity. Heuristically, this can be understood according to the fact that, even if the ground state is unstable, any energy-carrying wave cannot have greater-than-one reflectivity off a passive interface, which will violate the conservation of energy. The magnon Klein paradox discussed in the literature is derived from assigning a wrong sign to the transmitted spin wave.
ER  -