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arXiv 2602.21871cond-mat.mtrl-sci
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相对论自旋-动量锁住与反演对称性破坏的相互作用:p波磁性的条件

Interplay between Relativistic Spin-Momentum Locking and Breaking of Inversion Symmetry: conditions for p-wave magnetism

Institute of Physics, Polish Academy of Sciences(波兰科学院物理研究所);Consiglio Nazionale delle Ricerche (CNR-SPIN)(国家研究委员会(CNR-SPIN));International Research Centre Magtop(Magtop国际研究中心);Department of Materials Science, University Milan-Bicocca(米兰比可卡大学材料科学系);SPIN-CNR, UOS Salerno(SPIN-CNR萨莱诺联合操作站)

Amar Fakhredine, Giuseppe Cuono, Jan Skolimowski, Silvia Picozzi, Carmine Autieri

AI总结:

研究相对论自旋-动量锁住与反演对称性破坏的相互作用,揭示p波磁性的形成条件,通过Ca2RuO4材料验证自旋轨道耦合的多样性。

摘要:

我们研究了由交替磁性引起的相对论自旋-动量锁住与各种反演对称性破坏形式的相互作用。根据对称性破坏的不同,这可以导致Rashba型自旋轨道耦合(SOC)、Weyl型SOC或两种不同自旋-动量锁住的共存。我们专注于交替磁性Ca2RuO4作为测试材料。我们的结果重现了实验观测到的基态,即A中心磁序,具有Neel向量沿b轴,包含a-和c-轴上的自旋倾斜,但无弱铁磁性。Ca2RuO4表现出相对论自旋-动量锁住,三种自旋分量有不同的偶极子波序。我们解释实验结果为从纯交替磁性相到弱铁磁性相的转变证据。在铁电和反铁电样式的畸变下,非相对论自旋-动量锁住和弱铁磁性无明显变化。然而,我们观察到Rashba或Weyl型SOC的出现。通过数值和分析模型,我们研究了当反演对称性被破坏时,哪些节点平面保持不变。在Rashba情况下,其他组件的自旋-动量锁住具有p波特征;相反,Weyl型SOC破坏所有节点平面,仅留下节点线。最后,为了模拟沿z轴的条纹相,我们研究了在Ca2RuO4单层内诱导原子位移的调制电场。这产生了一个具有两种非相对论自旋-动量锁住的奇异交替磁性相,其中包含弱铁磁性。我们的研究对各种可能的交替磁体在相对论效应下的反演对称性破坏情况进行了全面分析。

英文摘要:

We investigate the interplay between relativistic spin-momentum locking arising from altermagnetism and various forms of inversion symmetry breaking. Depending on the symmetry breaking, this can give rise to Rashba-type spin-orbit coupling (SOC), Weyl-type SOC, or the coexistence of two distinct spin-momentum lockings. We focus on the altermagnetic Ca2RuO4 as a testbed material. Our results reproduce the experimentally observed ground state, which is an A-centered magnetic order with the Neel vector along the b-axis, hosting spin cantings along the a- and c-axes but without weak ferromagnetism. Ca2RuO4 exhibits relativistic spin-momentum locking, with different even-parity wave orders for the three spin components. We interpret the experimental results on doped samples as evidence for a transition from a pure altermagnetic phase to a weak ferromagnetic phase. Under ferroelectric- and antiferroelectric-like distortions, there are no qualitative changes in the non-relativistic spin-momentum locking and in the weak ferromagnetism. However, we observe the rise of the Rashba or Weyl-type SOC. Using numerical and analytical models, we investigate which nodal planes persist when inversion symmetry is broken in the relativistic case. The spin-momentum locking of the other components adopt a p-wave character in the case of Rashba; in contrast, Weyl-type SOC disrupts all nodal planes, leaving only nodal lines. Finally, to simulate a stripe phase with structural distortions along the z-axis, we studied a modulated electric field inducing atomic displacements within one Ca2RuO4 layer. This produces a magnetic phase transition to an exotic altermagnetic state with two non-relativistic spin-momentum lockings hosting weak ferromagnetism. Our research presents a comprehensive analysis of various possible scenarios in altermagnets with breaking of inversion symmetries under relativistic effects

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