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Quantum Hall skyrmions at v = 0, ±1 in monolayer graphene

机译：v = 0，单层石墨烯的v = 0，±1的量子大厅ksyrmions

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摘要

Monolayer graphene under a strong perpendicular magnetic field exhibits quantum Hall ferromagnetism with spontaneously broken spin and valley symmetry [K. Nomura and A.H. MacDonald, Phys. Rev. Lett. 96, 256602 (2006)]. The approximate SU(4) spin/valley symmetry is broken by small lattice-scale effects in the central Landau level corresponding to filling factors. = 0,+/- 1. Notably, the ground state at. = 0 is believed to be a canted antiferromagnetic (AF) or a ferromagnetic (F) state depending on the component of the magnetic field parallel to the layer and the strength of small anisotropies. We study the skyrmions for the filling factors. = +/- 1, 0 by using exact diagonalizations on the spherical geometry. If we neglect anisotropies, we confirm the validity of the standard skyrmion picture generalized to four degrees of freedom. For filling factor. = -1, the hole skyrmion is an infinite-size valley skyrmion with full spin polarization because it does not feel the anisotropies. The electron skyrmion is also always of infinite size. In the F phase it is always fully polarized, while in the AF phase it undergoes continuous magnetization under increasing Zeeman energy. In the case of nu = 0, the skyrmion is always maximally localized in space both in F and AF phases. In the F phase it is fully polarized, while in the AF phase it has also progressive magnetization with Zeeman energy. The magnetization process is unrelated to the spatial profile of the skyrmions, contrary to the SU(2) case. In all cases, the skyrmion physics is dominated by the competition between anisotropies and Zeeman effect but not directly by the Coulomb interactions, breaking universal scaling with the ratio Zeeman to Coulomb energy.
机译：在强垂直磁场下的单层石墨烯表现出Quantum Hall铁磁性与自发破旋和谷对称[K.野村和A.H.麦克唐纳，物理。 rev. lett。 96,256602（2006）]。近似SU（4）旋转/谷对称性被中央兰德水平对应于灌装因素的小格拉迪级效应。 = 0，+ / - 1.特别地，地面状态在。尤其被认为是倾斜的反铁磁体（AF）或铁磁性（F）状态，取决于平行于该层的磁场的组分和小各向同性的强度。我们研究填充因子的臭鼬。 = +/- 1,0通过在球面几何上使用精确的对角。如果我们忽视各向异性，我们证实了标准斯基尔蒙皮图片的有效性推广到四程度的自由。用于填充因子。 = -1，漏洞斯基尔氏症是一种无限大小的山谷斯基序，具有完全自旋极化，因为它没有感受到各向同性。电子Skyrmion也是无限尺寸的。在F阶段，它始终完全偏振，而在AF相位中，它在增加的塞曼能量下进行连续磁化。在Nu = 0的情况下，Skyrmion始终在F和AF阶段的空间中最大限度地定位。在F阶段，它是完全偏振的，而在AF相位中，它还具有塞曼能量的逐步磁化。磁化过程与臭鼬的空间轮廓无关，与SU（2）壳体相反。在所有情况下，Skyrmion物理学由各向异性和塞曼效应之间的竞争主导，但不是由库仑相互作用直接，与比例Zeeman与库仑能量进行普遍缩放。

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  • 来源
    《Physical review》 |2019年第11期|115422.1-115422.11|共11页
  • 作者

    Jolicoeur Thierry; Pandey Bradraj;

  • 作者单位

    Univ Paris Saclay CNRS Inst Phys Theor F-91190 Gif Sur Yvette France;

    Univ Paris Saclay CNRS Lab Phys Theor & Modeles Stat F-91405 Orsay France;

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