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arXiv 2304.02071cond-mat.str-elcond-mat.mes-hall
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与关联反铁磁体耦合的磁矩上的几何自旋力矩

Geometrical torque on magnetic moments coupled to a correlated antiferromagnet

Nicolas Lenzing, David Krüger, Michael Potthoff

AI总结:

研究了与关联反铁磁体弱耦合的磁矩上的几何自旋力矩,发现反铁磁长程序引起的低能磁振子模式会显著增强该力矩,且在单电子激发有能隙时该效应具有普适性。

摘要:

几何自旋力矩介导了磁矩的间接相互作用,这些磁矩与巡游电子系统发生弱交换耦合。它源于有限的 spin-Berry 曲率,并导致非哈密顿的磁矩动力学。我们证明了,在关联导致反铁磁长程序存在的电子系统中,存在前所未有的强几何自旋力矩。关键观察是,由于 SU(2) 自旋旋转对称性的自发破缺,双电子自旋激发谱中出现的低能磁振子模式极大地增强了这种反常力矩。只要单电子激发存在能隙,该效应在很大程度上是普适的,即本质上独立于电子结构的细节,但决定性地依赖于晶格维度以及空间和自旋各向异性。类似于推导 Mermin-Wagner 定理的推理,存在一个下临界维度,在该维度及以下,spin-Berry 曲率发散。

英文摘要:

The geometrical spin torque mediates an indirect interaction of magnetic moments, which are weakly exchange coupled to a system of itinerant electrons. It originates from a finite spin-Berry curvature and leads to a non-Hamiltonian magnetic-moment dynamics. We demonstrate that there is an unprecedentedly strong geometrical spin torque in case of an electron system, where correlations cause antiferromagnetic long-range order. The key observation is that the anomalous torque is strongly boosted by low-energy magnon modes emerging in the two-electron spin-excitation spectrum due to spontaneous breaking of SU(2) spin-rotation symmetry. As long as single-electron excitations are gapped out, the effect is largely universal, i.e., essentially independent of the details of the electronic structure, but decisively dependent on the lattice dimension and spatial and spin anisotropies. Analogous to the reasoning that leads to the Mermin-Wagner theorem, there is a lower critical dimension at and below which the spin-Berry curvature diverges.

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