发表机构
Department of Physics, Graduate School of Science, Tohoku University（东北大学理学研究科物理学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对带次近邻DM相互作用和垂直磁场的阻挫J₁-J₂海森堡模型，用施温格玻色子平均场理论计算蜂窝格子上三种通量扇区的热霍尔响应，发现κₓᵧ/T的符号及温度依赖性可作为通量敏感特征。
AI 中文摘要
热输运是阻挫磁体中电荷中性激发的体探测手段，但仍难以确定该输运能否区分同一自旋系统的不同部分子平均场结构，这一问题在蜂窝格子上尤为相关，该格子已被提出存在不同的0通量、π通量和手性π/2通量扇区。本文针对具有次近邻Dzyaloshinskii-Moriya相互作用和垂直磁场的阻挫J₁-J₂海森堡模型，对比这三个扇区的自洽鞍点解。采用有限温度施温格玻色子平均场理论和玻色子Bogoliubov-de Gennes系统的Kubo公式，计算本征自旋子热霍尔电导率。在所有三个分支均保持有能隙的共同参数点，根据本文采用的符号约定，当D>0且h>0时，0通量响应为正，π通量响应为负，而π/2通量响应随温度升高改变符号。本文进一步证明，结合六重旋转与时间反演的投影对称性会使固定手性π/2通量畴的零场响应消失。因此，在本文研究的平均场范围内，κₓᵧ/T的符号及其温度依赖性提供了对通量敏感的输运特征。
英文摘要
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.
Commentsmain text: 14 pages, 9 figures; supplemental information: 6 pages, 3 figures
