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arXiv 1003.5477cond-mat.str-elcond-mat.other
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稀相石墨烯反铁磁体的有限温度有序化

Finite temperature ordering of dilute graphene antiferromagnets

Thomas Fabritius, Nicolas Laflorencie, Stefan Wessel

摘要:

采用大尺度量子蒙特卡罗模拟方法研究了低载流子浓度下,长程RKKY相互作用引起的随机局域在石墨烯蜂窝晶格上的稀磁矩之间的磁有序转变.在这种情况下,有效的交换相互作用在每个子晶格内是铁磁性的,而在相对的子晶格之间是反铁磁性的,相互作用强度随着时刻之间的分离而整体立方衰减。我们明确地验证,这种可伸缩性导致反铁磁秩序之间的磁矩低于一个有限的转变温度在这个二维系统。此外,有序化温度显示出从低浓度到高浓度区域的幂律标度与矩稀释的交叉。

英文摘要:

We employ large-scale quantum Monte Carlo simulations to study the magnetic ordering transition among dilute magnetic moments randomly localized on the graphene honeycomb lattice, induced by long-ranged RKKY interactions at low charge carrier concentration. In this regime the effective exchange interactions are ferromagnetic within each sublattice, and antiferromagnetic between opposite sublattices, with an overall cubic decay of the interaction strength with the separation between the moments. We verify explicitly, that this commensurability leads to antiferromagnetic order among the magnetic moments below a finite transition temperature in this two-dimensional system. Furthermore, the ordering temperature shows a crossover in its power-law scaling with the moments' dilution from a low- to a high-concentration regime.

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