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PreprintarXiv licencearXiv

Intrinsic Paramagnetism of Optical Phonons and Thermal Hall Effect in Quantum Paraelectrics

  • Harsh Jain
  • Manideep Gone
  • Nabyendu Das
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Abstract

We propose a microscopic theory of the phonon-mediated thermal Hall effect in quantum paraelectrics, driven by the intrinsic paramagnetism due to quantum fluctuations of the (nearly) critical optical phonon modes. The effective magnetization due to temporal fluctuations of the assosciated dipoles couple to an external magnetic field resulting the magnetoelectric term H · (P × Ṗ) in the effective Lagrangian density of the polarisation field P. This coupling splits the transverse optical phonon spectrum into right- and left-circularly polarized chiral branches. Using the chiral phonon Green's functions and the Kubo formalism, we derive the thermal Hall conductivity κxy from the heat-current correlation function. We observe that κxy is proportional to the difference in spectral weights of the two chiral modes, κxy ∝ A+2 − A-2, establishing a direct microscopic link between phonon chirality and transverse heat transport. Our theory predicts three key observations: (i) a linear-in-magnetic-field response κxy ∝ H at low fields, evolving into nonlinear behavior at higher fields (ii) a non-monotonic temperature dependence of κxy with a peak arising from the competition between thermal population and phonon scattering and (iii) strong enhancement of κxy near the quantum critical point ω0 → 0, it exhibits power-law scaling κxy ∝ Tα with α≈ 0.41. Our findings provide an understanding of thermal Hall transport in quantum paraelectrics due to intrinsic paramagnetism and is aligned with the observed behaviour in SrTiO3 and related materials.

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Cite

BibTeXRIS
BibTeX
@misc{jain2026intrinsic,
  title = {{Intrinsic Paramagnetism of Optical Phonons and Thermal Hall Effect in Quantum Paraelectrics}},
  author = {Harsh Jain and Manideep Gone and Nabyendu Das},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32224},
  eprint = {2610.32224},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32224},
}
RIS
TY  - UNPB
TI  - Intrinsic Paramagnetism of Optical Phonons and Thermal Hall Effect in Quantum Paraelectrics
AU  - Harsh Jain
AU  - Manideep Gone
AU  - Nabyendu Das
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32224
UR  - https://arxiv.org/abs/2610.32224
AB  - We propose a microscopic theory of the phonon-mediated thermal Hall effect in quantum paraelectrics, driven by the intrinsic paramagnetism due to quantum fluctuations of the (nearly) critical optical phonon modes. The effective magnetization due to temporal fluctuations of the assosciated dipoles couple to an external magnetic field resulting the magnetoelectric term H · (P × Ṗ) in the effective Lagrangian density of the polarisation field P. This coupling splits the transverse optical phonon spectrum into right- and left-circularly polarized chiral branches. Using the chiral phonon Green's functions and the Kubo formalism, we derive the thermal Hall conductivity κ_xy from the heat-current correlation function. We observe that κ_xy is proportional to the difference in spectral weights of the two chiral modes, κ_xy ∝ A_+^2 − A_-^2, establishing a direct microscopic link between phonon chirality and transverse heat transport. Our theory predicts three key observations: (i) a linear-in-magnetic-field response κ_xy ∝ H at low fields, evolving into nonlinear behavior at higher fields (ii) a non-monotonic temperature dependence of κ_xy with a peak arising from the competition between thermal population and phonon scattering and (iii) strong enhancement of κ_xy near the quantum critical point ω_0 → 0, it exhibits power-law scaling κ_xy ∝ T^α with α≈ 0.41. Our findings provide an understanding of thermal Hall transport in quantum paraelectrics due to intrinsic paramagnetism and is aligned with the observed behaviour in SrTiO_3 and related materials.
ER  -