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Triplon thermal Hall response in a honeycomb-lattice $J_1$-$J_2$ Heisenberg antiferromagnet with Dzyaloshinskii--Moriya interactions — arXiv:2610.40910

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.40910
License (as archived): CC0-1.0
Archived: 2026-11-02T08:10:04.828Z
SHA-256 of the archived text: c7c5b2b5ad4a56f3b3a22bd20f1c021e2543da2029610922f21dcdc1b5f8d0b3
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How to cite

Triplon thermal Hall response in a honeycomb-lattice $J_1$-$J_2$ Heisenberg antiferromagnet with Dzyaloshinskii--Moriya interactions — arXiv:2610.40910 — arXiv (en), https://arxiv.org/abs/2610.40910 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a3ab7a67cabc (Metraipolis archive dc_a3ab7a67cabc, sha256 c7c5b2b5ad4a56f3b3a22bd20f1c021e2543da2029610922f21dcdc1b5f8d0b3)

BibTeX

@misc{dca3ab7a67cabc,
  title = {Triplon thermal Hall response in a honeycomb-lattice $J_1$-$J_2$ Heisenberg antiferromagnet with Dzyaloshinskii--Moriya interactions — arXiv:2610.40910},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.40910},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a3ab7a67cabc; sha256 c7c5b2b5ad4a56f3b3a22bd20f1c021e2543da2029610922f21dcdc1b5f8d0b3},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.40910. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We investigate triplon topology and the thermal Hall transport in a columnar valence-bond solid of a spin-$1/2$ honeycomb-lattice $J_1$-$J_2$ Heisenberg antiferromagnet. Inequivalent triangular sublattices, modeled by $J_2^A\neq J_2^B$, remove inversion symmetry at nearest-neighbor bond centers and allow in-plane Dzyaloshinskii--Moriya (DM) interactions. We identify the two symmetry-allowed in-plane DM vector patterns and present detailed results for the pattern parallel to the bonds including an out-of-plane magnetic field. Within a harmonic bond-operator treatment, we determine the triplon bands, their Berry curvatures and Chern numbers, and the triplon thermal Hall conductivity. The DM interaction and magnetic field generate nonzero Berry curvatures, but the numerically integrated Chern number of every isolated triplon band vanishes. Nevertheless, the energy-dependent Bose weighting of positive and negative Berry-curvature regions produces a finite thermal Hall response at nonzero low temperatures. We delimit the dilute-triplon regime in which the harmonic transport calculation is expected to be reliable. These results show that a vanishing Chern number band does not directly constrain the triplon response of a valence-bond solid. We also comment on the effects on the columnar valence-bond solid phase of a DM interaction between next-nearest-neighbor spins characterized by an out-of-plane vector pattern.

Tema degli esploratori: fisica e astronomia (elenco arXiv cond-mat.stat-mech, nuovi lavori del giorno).
Categorie arXiv: Strongly Correlated Electrons (cond-mat.str-el) ; Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2610.40910 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-02T07:47:15.694Z dalla pagina https://arxiv.org/list/cond-mat.stat-mech/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).