Topological Superconductivity and Majorana Fermions in RKKY Systems
Topological Superconductivity and Majorana Fermions in RKKY Systems
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DOI：
10.1103/physrevlett.111.186805
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发表时间：
2013-11-01
影响因子：
8.6
通讯作者：
Loss, Daniel
中科院分区：
文献类型：
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作者：
Klinovaja, Jelena;Stano, Peter;Loss, Daniel
我们考虑准一维Ruderman-Kittel-Kasuya-Yosida（RKKY）系统在接近s波超导体。我们证明了在一维极限下超导体自旋磁化率的2k（F）峰通过RKKY相互作用支持局域磁矩的螺旋序，其中k（F）是费米波矢.磁螺旋等效于均匀磁场和非常强的自旋轨道相互作用（SOI），有效SOI长度为1/2k（F）。我们找到了在具有磁性原子或核自旋的原子链和半导体纳米线中建立这种磁性状态的条件。一般来说，这些系统是在拓扑阶段与马约拉纳费米子。螺旋固有的自调谐到2k（F）消除了调谐化学势的需要。
We consider quasi-one-dimensional Ruderman-Kittel-Kasuya-Yosida (RKKY) systems in proximity to an s-wave superconductor. We show that a 2k(F) peak in the spin susceptibility of the superconductor in the one-dimensional limit supports helical order of localized magnetic moments via RKKY interaction, where k(F) is the Fermi wave vector. The magnetic helix is equivalent to a uniform magnetic field and very strong spin-orbit interaction (SOI) with an effective SOI length 1/2k(F). We find the conditions to establish such a magnetic state in atomic chains and semiconducting nanowires with magnetic atoms or nuclear spins. Generically, these systems are in a topological phase with Majorana fermions. The inherent self-tuning of the helix to 2k(F) eliminates the need to tune the chemical potential.