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arXiv 0704.0439cond-mat.mes-hall
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任意子的库仑阻塞

Coulomb blockade of anyons

Dmitri V. Averin, James A. Nesteroff

摘要:

库仑相互作用使填充因子为$ν=1/(2m+1)$的初级量子霍尔液体中的任意准粒子转变为硬核任意子。通过将一维阿贝尔任意子的Wigner-Jordan描述扩展到隧穿问题,我们建立了一个多反点系统中这种准粒子的相干输运模型。我们表明,即使在{ \em缺乏}的准粒子交换的无离子交换统计表现在隧道电导。特别地,它可以被看作是与准粒子隧穿通过三个反点的线相关的非零共振峰。

英文摘要:

Coulomb interaction turns anyonic quasiparticles of a primary quantum Hall liquid with filling factor $ν=1/(2m+1)$ into hard-core anyons. We have developed a model of coherent transport of such quasiparticles in systems of multiple antidots by extending the Wigner-Jordan description of 1D abelian anyons to tunneling problems. We show that the anyonic exchange statistics manifests itself in tunneling conductance even in the {\em absence} of quasiparticle exchanges. In particular, it can be seen as a non-vanishing resonant peak associated with quasiparticle tunneling through a line of three antidots.

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