Algebra of Majorana Doubling

Algebra of Majorana Doubling
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DOI:
10.1103/physrevlett.111.226402
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发表时间:
2013-11-27
影响因子:
8.6
通讯作者:
Wilczek, Frank
Wilczek, Frank
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Lee, Jaehoon;Wilczek, Frank

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出于识别马约拉纳模式运营商在路口的问题,我们分析了一个基本的代数结构,导致一个双重的频谱。对于一般的(非线性)相互作用的紧急模式创建运营商是高度非线性的,在原来的有效模式运营商,因此也在底层的电子创建和销毁运营商。这种现象可能为控制模式的动态操纵开辟新的可能性。我们简要地比较和对比Pfronan量子霍尔态的相关问题。
Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly nonlinear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.