2017
DOI: 10.1088/2053-1583/aa9fca
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Effective interactions in a graphene layer induced by the proximity to a ferromagnet

Abstract: The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization. We find that, in addition to a simple exchange field, a number of other terms arise. Some of these terms act as magnetic orbital couplings, and others are proximity-induced spin-orbit interactions. The couplings are of similar order of magnitude, and depend on the orientati… Show more

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Cited by 27 publications
(18 citation statements)
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“…This is derived from first-principles calculations, as well as additional symmetry arguments [44,45], and it is valid in the vicinity of both Dirac points, K and K . It reproduces the gap at the Dirac point and the spin splitting of the bands due to proximity SOC [46,47], of valley-Zeeman and Rashba types [29,45,48], which originates from WS 2 , as well as the proximity magnetism [49,50] from Cr 2 Ge 2 Te 6 into graphene.…”
Section: First-principles Band Structure and Thereby Derived Low-mentioning
confidence: 99%
“…This is derived from first-principles calculations, as well as additional symmetry arguments [44,45], and it is valid in the vicinity of both Dirac points, K and K . It reproduces the gap at the Dirac point and the spin splitting of the bands due to proximity SOC [46,47], of valley-Zeeman and Rashba types [29,45,48], which originates from WS 2 , as well as the proximity magnetism [49,50] from Cr 2 Ge 2 Te 6 into graphene.…”
Section: First-principles Band Structure and Thereby Derived Low-mentioning
confidence: 99%
“…In particular, significant attention is being paid to the enhancement of SOC in graphene [19][20][21][22][23][24][25][26][27][28][29][30][31][32], which would be an important extension of its properties enabling a number of interesting applications. For example, if in addition to the unavoidable Rashba term, that appears in supported graphene [33][34][35], the substrate is magnetically ordered and induces an exchange coupling by proximity [36], then the system might exhibit a quantum anomalous Hall effect [37]. On the contrary, if time-reversal symmetry is preserved but the intrinsic (Kane and Mele) SOC dominates, the system is ideally in a quantum spin Hall phase [3].…”
Section: Introductionmentioning
confidence: 99%
“…2(b)]. The peak in R nl (≈380 ) at V D may indicate a contribution from the spin Hall [22] or Zeeman spin Hall effects [14]. However, R xx shows a negative magnetoresistance (weak localization) [see Fig.…”
mentioning
confidence: 99%