标题： 量子霍尔盘上准粒子的可测分数自旋 显示英文标题

标题： Measurable fractional spin for quantum Hall quasiparticles on the disk

摘要： 我们研究了定义在圆盘上的最低朗道能级量子霍尔态的局域化准粒子激发的自旋。我们提出的自旋满足自旋统计关系，并可用于重构两个任意选择的准粒子交换所关联的拓扑几何相。由于它与准粒子电荷分布的四极矩有关，因此可以在实验中测量，并且可以用一种与迄今使用的干涉方案互补的方式揭示任意子性质。我们首先讨论了Laughlin态的准孔定义，对此我们对其自旋进行了数值和解析研究，然后继续讨论了Halperin 221态的几种不同类型的准孔。最后，我们讨论了我们的自旋与准粒子围绕其轴的绝热旋转之间的联系，并证明我们的自旋服从自旋统计关系。 显示英文摘要

摘要： We study the spin of the localised quasiparticle excitations of lowest-Landau-level quantum Hall states defined on a disk. The spin that we propose satisfies the spin-statistics relation and can be used to reconstruct the topological geometric phase associated to the exchange of two arbitrarily chosen quasiparticles. Since it is related to the quadrupole moment of the quasiparticle charge distribution, it can be measured in an experiment and could reveal anyonic properties in a way that is complementary to the interferometric schemes employed so far. We first discuss our definition for the quasiholes of the Laughlin state, for which we present a numerical and analytical study of our spin, and we proceed with a discussion of several kinds of quasiholes of the Halperin 221 state. Finally, we discuss the link between our spin and the adiabatic rotation of the quasiparticles around their axis and demonstrate that our spin obeys the spin-statistics relation.