Thermal transport is a crucial probe for studying excitations in insulators. In Mott insulators, the primary candidates for heat carriers are spins and phonons, and which dominates the thermal conductivity is a persistent issue. Typically, phonons dominate the longitudinal thermal conductivity while the thermal Hall effect (THE) is primarily associated with spins, which requires time-reversal symmetry breaking. The coupling between phonons and spins usually depends on spin-orbit interaction and is relatively weak. Here, we propose a new mechanism for this coupling and the associated THE: the skew scattering of phonons via spin fluctuations by the scalar spin chirality. This coupling does not require spin-orbit interaction and is ubiquitous in Mott insulators, leading to a thermal Hall angle on the order of $10^{-3}$ to $10^{-2}$. Based on this mechanism, we investigate the THE in YMnO$_3$ with a trimerized triangular lattice where the THE beyond spins was recognized, and predict the THE in the Kagome and square lattices.
Proposal for detecting spin-chirality terms in Mott insulators via resonant inelastic x-ray scattering
本文研究了共振非弹性X射线散射（RIXS）能否用于探测与自旋手征项S_i耦合的多体激发。（S_j x S_k）的近似解。我们发现，虽然自旋手征项一般不存在于通常的实验设置的RIXS，有实现这些条款的前景，如果人们认为，而不是散射附近的前边缘。然后，我们进行了详细的分析，正方形和戈薇晶格，三角形和蜂窝晶格的简要分析，其中我们表明，自旋手征性条款确实存在于所有上述晶格，但它们发生在我们的展开戈薇和蜂窝晶格的高阶。在U（1）Dirac自旋液体中出现的规范玻色子的背景下，还简要讨论了使用RIXS和拉曼光谱检测与自旋手征项耦合的激发的优点。
Vector chirality for effective total momentum $J_{\textrm{eff}}$ in a nonfrustrated Mott insulator: Effects of strong spin-orbit coupling and broken inversion symmetry
在具有强自旋轨道耦合的非阻挫莫特绝缘体中，由于$ab$平面的反转对称性破缺，出现了自旋轨道耦合的矢量手征。在强自旋-轨道耦合和IS破缺诱导的跳跃积分下，导出了正方晶格上$t_{2g}$ -轨道Hubbard模型的超交换相互作用，解释了Dzyaloshinsky-Moriya（DM）型和Kitaev型相互作用的微观起源.然后，通过采用平均场近似的最小模型，只包括海森伯型和DM型最近邻相互作用，我表明，IS破缺导致自旋轨道耦合的手征作为稳定的螺旋状态的结果。我还强调了硬赝自旋近似在讨论DM型和Kitaev型相互作用存在下的螺旋态的稳定性时的极限，并讨论了它的意义。最后讨论了四元晶场和$J_{\textrm{eff}}=\frac{3}{2}$态的影响，以及对Sr $_{2}$ IrO $_{4}$的$[001]$表面附近的铱酸盐和Sr $_{2}$ IrO $_{4}$与Sr $_{3}$ Ir $_{2}$ O $_{7}$界面的应用。
Microscopic Theory of the Phonon Thermal Hall Effect in Chiral Mott Insulators
Seoul National University（首尔大学）；Soongsil University（崇实大学）；Origin of Matter and Evolution of Galaxies (OMEG) institute, Soongsil University（崇实大学物质起源与星系演化研究所）
Relativistic Mott transition and high-order van Hove singularity in twisted double bilayer WSe${}_2$: mean-field and functional renormalization group study
Magnetic State of the Geometrically Frustrated Quasi-One-Dimensional Spin System Cu$_3$Mo$_2$O$_9$ Studied by Thermal Conductivity
我们测量了准一维自旋系统Cu $_3$ Mo $_2$ O $_9$在磁场中的热导率.由于自旋的热导率的贡献已被观察到沿自旋链的热导率。由于声子的热导率，$κ_{\rm phonon}$，已被发现通过施加磁场而降低，这已被解释为是由于自旋单重态二聚体引起的自旋间隙的减小。此外，已经发现，$κ_{\rm phonon}$在低温下在高于~7 T的高场中随着场的增加而增加。这表明存在一种新的场诱导自旋态，并讨论了在阻挫莫特绝缘体中可能的自旋手征有序。
Anomalous Hall and Nernst effects driven by static and fluctuating spin chiralities on Kagome lattice
School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences（中国科学院大学电子电气与通信工程学院）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences（中国科学院大学科维理理论科学研究所）
Giant anomalous Hall conductivity in frustrated magnet EuCo2Al9
Zhejiang University of Technology（浙江工业大学）；Zhejiang University（浙江大学）；Center for High Pressure Science & Technology Advanced Research（高压科学先进研究中心）；Renmin University of China（中国人民大学）；China Institute of Atomic Energy（中国原子能科学研究院）；Peking University（北京大学）；Huazhong University of Science and Technology（华中科技大学）；Songshan Lake Materials Laboratory（松山湖材料实验室）；Hefei National Laboratory（合肥国家实验室）；Nanjing University（南京大学）
