论文标题
ABA和ABC Trilayer石墨烯Van der waals异质结构的接近自旋轨道和交换耦合
Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
论文作者
论文摘要
我们研究了ABA和ABC Trilayer石墨烯中的近距离旋转轨道和交换耦合，这些石墨烯封装在半导体的过渡金属二核苷和铁电磁半导体CR $ _2 $ _2 $ ge $ _2 $ _2 $ _6 $ _6 $中。采用第一原理计算，我们获得了多层堆栈的电子结构，并通过将低能带拟合到模型的汉密尔顿人来提取相关的接近诱导的轨道和自旋相互作用参数。我们还通过横向电场证明了接近效应的可调性。使用模型汉密尔顿人，我们还研究了混合的自旋轨道/交换耦合封装，该封装可以通过应用场非常有效地定制自旋相互作用。我们还总结了Bare ABA，ABC和ABB Trilayers的自旋轨道物理，并提供了电子带结构的第一原理结果，状态的密度，旋转分离的密度，旋转分离和带的电场可调性，对观察到的行为和现实模型参数的定性理解，用于运输和CORRELERITY和CORRELAIDS的资源。
We investigate the proximity spin-orbit and exchange couplings in ABA and ABC trilayer graphene encapsulated within monolayers of semiconducting transition-metal dichalcogenides and the ferromagnetic semiconductor Cr$_2$Ge$_2$Te$_6$. Employing first-principles calculations we obtain the electronic structures of the multilayer stacks and extract the relevant proximity-induced orbital and spin interaction parameters by fitting the low-energy bands to model Hamiltonians. We also demonstrate the tunability of the proximity effects by a transverse electric field. Using the model Hamiltonians we also study mixed spin-orbit/exchange coupling encapsulation, which allows to tailor the spin interactions very efficiently by the applied field. We also summarize the spin-orbit physics of bare ABA, ABC, and ABB trilayers, and provide, along with the first-principles results of the electronic band structures, density of states, spin splittings, and electric-field tunabilities of the bands, qualitative understanding of the observed behavior and realistic model parameters as a resource for model simulations of transport and correlation physics in trilayer graphene.
