Anyons, boundary constraint, and hierarchy in fractional quantum Hall effect.
Anyons, boundary constraint, and hierarchy in fractional quantum Hall effect.
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DOI：
10.1103/physrevlett.68.3460
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发表时间：
1992-06
影响因子：
8.6
通讯作者：
He;Xie;Zhang
中科院分区：
文献类型：
--
作者：
He;Xie;Zhang
对有限尺寸系统进行了计算，以检验分数量子霍尔效应的层次理论。准粒子和准空穴的概念被证明在高密度下仍然有效。数值结果表明，任意子准粒子受到硬核边界的约束，当其中两个粒子在空间中靠近时，它们的波函数必须为零。这种禁忌的动力学起源于准粒子之间的强烈短程斥力。用硬核任意子理论解释了系统中观测到的准粒子-准空穴不对称性。
Calculations on finite-size systems are carried out to examine the hierarchy theory of the fractional quantum Hall effect. The concept of quasiparticle and quasihole is justified to remain valid at high densities. Numerical results reveal a hard-core boundary constraint on the anyonic quasiparticles so that their wave function must vanish as two of them get close in space. The dynamics of this contraint originates from a strong short-range repulsion between the quasiparticles. The observed quasiparticle-quasihole asymmetry in the hierarchy is understood through the hard-core anyon theory.