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PreprintCC BY 4.0arXiv

Random spin-3/2 antiferromagnetic Heisenberg chains revisited

  • Yen-Tung Lin
  • Pochung Chen
  • Yu-Cheng Lin
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Abstract

We revisit the spin-reduction transition in the random spin-3/2 antiferromagnetic Heisenberg chain using the tensor-network strong-disorder renormalization group (tSDRG). The predicted transition separates two random-singlet (RS) phases: one formed by effective spin-1/2 moments at weaker disorder and the other by full spin-3/2 moments at stronger disorder. Within the Damle--Huse classification, this transition corresponds to an emergent permutation-symmetric P4 multicritical point on a P2 critical line associated with the RS phases. We first derive the critical exponents governing the disorder-averaged bulk and end-to-end correlation functions in the Pn universality classes within the Damle--Huse framework. Using these theoretical predictions, together with a diagnostic constructed from the mean and variance of the energy-gap distribution, we identify the P4 transition point and the reentrant behavior of the RS phase.

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Cite

BibTeXRIS
BibTeX
@misc{lin2026random,
  title = {{Random spin-3/2 antiferromagnetic Heisenberg chains revisited}},
  author = {Yen-Tung Lin and Pochung Chen and Yu-Cheng Lin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24994},
  eprint = {2610.24994},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24994},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Random spin-3/2 antiferromagnetic Heisenberg chains revisited
AU  - Yen-Tung Lin
AU  - Pochung Chen
AU  - Yu-Cheng Lin
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.24994
UR  - https://arxiv.org/abs/2610.24994
AB  - We revisit the spin-reduction transition in the random spin-3/2 antiferromagnetic Heisenberg chain using the tensor-network strong-disorder renormalization group (tSDRG). The predicted transition separates two random-singlet (RS) phases: one formed by effective spin-1/2 moments at weaker disorder and the other by full spin-3/2 moments at stronger disorder. Within the Damle--Huse classification, this transition corresponds to an emergent permutation-symmetric P_4 multicritical point on a P_2 critical line associated with the RS phases. We first derive the critical exponents governing the disorder-averaged bulk and end-to-end correlation functions in the P_n universality classes within the Damle--Huse framework. Using these theoretical predictions, together with a diagnostic constructed from the mean and variance of the energy-gap distribution, we identify the P_4 transition point and the reentrant behavior of the RS phase.
ER  -