Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 37 min ago
PreprintCC BY 4.0arXiv

The renormalization group for a slab model of the spin reorientation transition

  • D. Pescia
Open at sourcePDFDOICite

Abstract

In 1975, Polyakov invented a renormalization group algorithm for treating the problem of a classical isotropic planar Heisenberg ferromagnet. Here we define a tool - "parallel transport of frames" - that extends Polyakov's original renormalization group method to local magnetic anisotropies and, most significantly, the non-local dipolar interaction. We apply this tool to the problem of the spin reorientation transition in an ultrathin ferromagnetic slab with finite thickness. We find that integrating out the short wavelength spin wave fluctuations generates two local anisotropies that are absent from the microscopic dipolar energy Hamiltonian. Taking them into account yields the correct topology of the spin reorientation transition line, as observed experimentally and in numerical simulations.

Related

  1. Anisotropic mesoscale magnetic scattering across the spin-reorientation transition in TbMn6Sn6
    Zhuang Xu, Fan Chen, Hui Cheng +10
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  2. Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains
    Jianxun Li, Chao Xu, Wang Yang
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  3. Atomic-Scale Anisotropy Competition Drives Spin Reorientation in Intercalated 2D Ferromagnets.
    Yu-Sheng Tseng, Wan-Sheng Tang, Bao-Huei Huang +1
    ACS nanoscience AuPeer-reviewedCC BYFull textAtomic, molecular & optical physicsEurope PMC
  4. Giant piezomagnetic response driven by spin reorientation in the topological Kagome magnet TbMn6Sn6
    Hanyang Qian, Wen Sun, Juntao Huo +1
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  5. Phonon evidence for a partial, re-entrant spin reorientation near room temperature in LaFe1−xNixO3
    Subha Maity, Dushyant Singh, Vigneshwari S R +4
    arXivPreprintCC BY-NC-ND 4.0Full textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{pescia2026renormalization,
  title = {{The renormalization group for a slab model of the spin reorientation transition}},
  author = {D. Pescia},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31064},
  eprint = {2609.31064},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31064},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The renormalization group for a slab model of the spin reorientation transition
AU  - D. Pescia
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31064
UR  - https://arxiv.org/abs/2609.31064
AB  - In 1975, Polyakov invented a renormalization group algorithm for treating the problem of a classical isotropic planar Heisenberg ferromagnet. Here we define a tool - "parallel transport of frames" - that extends Polyakov's original renormalization group method to local magnetic anisotropies and, most significantly, the non-local dipolar interaction. We apply this tool to the problem of the spin reorientation transition in an ultrathin ferromagnetic slab with finite thickness. We find that integrating out the short wavelength spin wave fluctuations generates two local anisotropies that are absent from the microscopic dipolar energy Hamiltonian. Taking them into account yields the correct topology of the spin reorientation transition line, as observed experimentally and in numerical simulations.
ER  -