论文标题
密度波介导的dzyaloshinskii-moriya相互作用
Density Wave Mediated Dzyaloshinskii-Moriya Interactions
论文作者
论文摘要
我们研究了密度波状态对平方晶格的局部旋转的影响。我们发现，在存在外部磁场的情况下，拓扑上的非平凡密度波状态可以诱导晶格局部旋转之间稳定的Dzyaloshinskii-Moriya（DM）相互作用，并且我们研究了抗铁磁和铁磁背景的旋转模型。如Li＆Lee（Arxiv：1905.04248v3）所示，密度波状态本身可以导致热室效应，但对称考虑因素排除了所产生的自旋激发，因此无法诱导进一步的热室效应。我们利用有关经典平均场基态的Holstein-Primakoff（HP）替代，以计算LSCO的磁化分散体，并发现密度波诱导了弱$ d_ {x^2-y^2} $ anisotropy;在计算该磁杆分支的非阿布莱浆果曲率后，我们明确表明，镁对$κ_{xy} $的贡献为零。最后，由于铁磁背景的拓扑密度波，我们计算校正磁接地态能量，旋转倾斜角度以及旋转波分散体。我们发现，HP玻色子中线性的术语可能会影响临界行为，这是文献中先前忽略的观点。
We investigate the effect that density wave states have on the localized spins of a square lattice. We find that topologically nontrivial density wave states can induce stable Dzyaloshinskii-Moriya (DM) interactions among the localized spins of the lattice in the presence of an external magnetic field, and we study the resulting spin models for both antiferromagnetic and ferromagnetic backgrounds. While the density wave state itself can contribute to the the thermal Hall effect, as shown by Li & Lee (arXiv:1905.04248v3), symmetry considerations preclude the resulting spin excitations from inducing a further thermal Hall effect. We utilize a Holstein-Primakoff (HP) substitution about the classical mean-field ground state to calculate the magnon dispersion for LSCO and find that the density wave induces a weak $d_{x^2-y^2}$ anisotropy; upon calculating the non-Abelian Berry curvature for this magnon branch we show explicitly that the magnon contribution to $κ_{xy}$ is zero. Finally, we calculate corrections to the magnetic ground state energy, spin canting angles, and the spin-wave dispersion due to the topological density wave for ferromagnetic backgrounds. We find that terms linear in the HP bosons can affect the critical behavior, a point previously overlooked in the literature.
