𝒫𝒯-symmetry as Effective Time Reversal Symmetry for Anderson Localization in a Collinear Antiferromagnet

@misc{huynh2026𝒫𝒯symmetry,
  title = {{$\mathcalPT$-symmetry as Effective Time Reversal Symmetry for Anderson Localization in a Collinear Antiferromagnet}},
  author = {Kim-Khuong Huynh and Takuma Ogasawara and Motoi Kimata and Sofie Søby Leiszner and Nhu-Quynh Thi Phan and Michael Anthony Quintero and Frej Søren Rattenborg and Denis Arčon and Bo Brummerstedt Iversen and Katsumi Tanigaki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06951},
  eprint = {2610.06951},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06951},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - 𝒫𝒯-symmetry as Effective Time Reversal Symmetry for Anderson Localization in a Collinear Antiferromagnet
AU  - Kim-Khuong Huynh
AU  - Takuma Ogasawara
AU  - Motoi Kimata
AU  - Sofie Søby Leiszner
AU  - Nhu-Quynh Thi Phan
AU  - Michael Anthony Quintero
AU  - Frej Søren Rattenborg
AU  - Denis Arčon
AU  - Bo Brummerstedt Iversen
AU  - Katsumi Tanigaki
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.06951
UR  - https://arxiv.org/abs/2610.06951
AB  - We show that 𝒫𝒯-symmetry acts as the effective time-reversal symmetry governing Anderson localization in the antiferromagnet BaMn_2Bi_2, whereas the general time-reversal symmetry is broken by its long-range magnetic order. The magnetoconductance follows the laws established from breaking time-reversal symmetry throuhg the orbital coupling of charge carriers to the magnet vector potential, however, the degrees of symmetry breaking are qualitatively modulated by the magnetocrystalline anisotropy stabilizing 𝒫𝒯-related sublattices. The quantum interferences and hoping amplitudes governing the phenomena are drastically impaired by transverse magnetic fields, which readily cant 𝒫𝒯-related magnetic sublattices. Accordingly, when the 𝒫𝒯-related texture is weakly perturbed by longitudinal fields orienting along the sublattices, the localization is minutely affected. The robustness of the 𝒫𝒯-enforced degeneracies is thus governed by exchange and magnetocrystalline interactions, in contrast to the exact 𝒫𝒯-symmetry of the full Hamiltonian, which is broken by any finite field.
ER  -