Laughlin液体中示踪粒子分数统计量的出现
Emergence of fractional statistics for tracer particles in a Laughlin liquid
摘要：
我们考虑一个思想实验，其中两个不同种类的二维粒子在垂直的磁场通过排斥势相互作用。如果磁场和相互作用足够强，一种粒子形成Laughlin态，另一种粒子耦合到Laughlin准空穴。我们表明，在这种情况下，第二类粒子的运动是由一个有效的哈密顿量，对应于非相互作用的任意子的磁规范图片。这一论点与Arovas-Schrieffer-Wilczek的Berry相位计算是一致的，但又有所不同。这表明在分数量子霍尔系统中观察有效任意子统计的影响的可能性。
英文摘要：
We consider a thought experiment where two distinct species of 2D particles in a perpendicular magnetic field interact via repulsive potentials. If the magnetic field and the interactions are strong enough, one type of particles forms a Laughlin state and the other ones couple to Laughlin quasi-holes. We show that in this situation, the motion of the second type of particles is described by an effective Hamiltonian, corresponding to the magnetic gauge picture for non-interacting anyons. The argument is in accord with, but distinct from, the Berry phase calculation of Arovas-Schrieffer-Wilczek. It suggests possibilities to observe the influence of effective anyon statistics in fractional quantum Hall systems.
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