发表机构
Technical University of Munich; Munich Center for Quantum Science and Technology (MCQST)（慕尼黑工业大学; 慕尼黑量子科学与技术中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出菱面体多层石墨烯在面内磁场下通过轨道耦合与层反铁磁协同，实现无需自旋轨道耦合的$p$-波磁性，且随层数增强，为共线磁体奇宇称自旋劈裂提供可控平台。
AI 中文摘要
我们提出在施加面内磁场的菱面体多层石墨烯作为高度可调的非相对论共线 $p$-波磁性平台。轨道与磁场的耦合破坏了时间反演对称性，并与相互作用驱动的层反铁磁性一起，在不依赖自旋轨道耦合的情况下产生奇动量自旋劈裂。利用最小低能有效理论，我们表明由此产生的 $p$-波自旋劈裂随层数增加而显著增强。这种增强源于低能态的表面局域性质及其与面内场的层依赖轨道耦合。塞曼耦合仅微弱扰动这种主要由轨道场诱导的机制。我们进一步利用更现实的哈伯德模型估计了空穴掺杂下 $p$-波磁性的稳定性及独特的输运特征。我们的结果确立了外部磁场的轨道耦合作为共线磁体中奇宇称自旋劈裂的可控途径。
英文摘要
We propose rhombohedral multilayer graphene in an applied in-plane magnetic field as a highly tunable platform for nonrelativistic collinear $p$-wave magnetism. The orbital coupling to the magnetic field breaks time-reversal symmetry and, together with interaction-driven layer antiferromagnetism, generates an odd-in-momentum spin splitting without relying on spin-orbit coupling. Using a minimal low-energy effective theory, we show that the resulting $p$-wave spin splitting is strongly enhanced with increasing layer number. This enhancement originates from the surface-localized nature of the low-energy states and their layer-dependent orbital coupling to the in-plane field. The Zeeman coupling only weakly perturbs this predominantly orbital-field-induced mechanism. We further estimate stability of the $p$-wave magnetism under hole-doping and distinct transport signature using a more realistic Hubbard model. Our results establish orbital coupling to an external magnetic field as a controllable route to odd-parity spin splitting in collinear magnets.
Comments9 pages, 6 figures
