Thermal Hall Signatures of Distinct Schwinger-Boson Flux Sectors on the Honeycomb Lattice
Abstract
Thermal transport offers a bulk probe of charge-neutral excitations in frustrated magnets. It remains challenging, however, to determine whether such transport can distinguish different parton mean-field structures of the same spin system. This question is particularly relevant on the honeycomb lattice, where distinct $0$-flux, π-flux, and chiral π/2-flux sectors have been proposed. In this paper, we compare self-consistent saddle-point solutions in these three sectors for a frustrated J1−J2 Heisenberg model with a next-nearest-neighbor Dzyaloshinskii-Moriya interaction and a perpendicular magnetic field. Using finite-temperature Schwinger-boson mean-field theory and the Kubo formula for bosonic Bogoliubov-de Gennes systems, we evaluate the intrinsic spinon thermal Hall conductivity. At a common parameter point where all three branches remain gapped, the $0$-flux response is positive and the π-flux response is negative for D>0 and h>0 under the sign conventions used in this paper, whereas the π/2-flux response changes sign with increasing temperature. We further show that a projective symmetry combining a sixfold rotation with time reversal forces the zero-field response of a fixed chiral π/2-flux domain to vanish. Within the mean-field regime examined in this paper, the sign and temperature dependence of κxy/T therefore provide a flux-sensitive transport signature.
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BibTeX
@misc{sasamoto2026thermal,
title = {{Thermal Hall Signatures of Distinct Schwinger-Boson Flux Sectors on the Honeycomb Lattice}},
author = {Daiki Sasamoto},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.29792},
eprint = {2608.29792},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29792},
}
RIS
TY - UNPB
TI - Thermal Hall Signatures of Distinct Schwinger-Boson Flux Sectors on the Honeycomb Lattice
AU - Daiki Sasamoto
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2608.29792
UR - https://arxiv.org/abs/2608.29792
AB - Thermal transport offers a bulk probe of charge-neutral excitations in frustrated magnets. It remains challenging, however, to determine whether such transport can distinguish different parton mean-field structures of the same spin system. This question is particularly relevant on the honeycomb lattice, where distinct $0$-flux, π-flux, and chiral π/2-flux sectors have been proposed. In this paper, we compare self-consistent saddle-point solutions in these three sectors for a frustrated J_1−J_2 Heisenberg model with a next-nearest-neighbor Dzyaloshinskii-Moriya interaction and a perpendicular magnetic field. Using finite-temperature Schwinger-boson mean-field theory and the Kubo formula for bosonic Bogoliubov-de Gennes systems, we evaluate the intrinsic spinon thermal Hall conductivity. At a common parameter point where all three branches remain gapped, the $0$-flux response is positive and the π-flux response is negative for D>0 and h>0 under the sign conventions used in this paper, whereas the π/2-flux response changes sign with increasing temperature. We further show that a projective symmetry combining a sixfold rotation with time reversal forces the zero-field response of a fixed chiral π/2-flux domain to vanish. Within the mean-field regime examined in this paper, the sign and temperature dependence of κ_xy/T therefore provide a flux-sensitive transport signature.
ER -