Spin-statistics relation and the Abelian braiding phase for anyons in fractional quantum Hall effect

• Main Authors: Trung, Ha Quang, Wang, Yuzhu, Yang, Bo
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Physics; Finite Size; Fractional Quantum Hall Effects
• Online Access: https://hdl.handle.net/10356/169897
• Institution: Nanyang Technological University

Quasihole excitations in fractional quantum Hall (FQH) systems exhibit fractional statistics and fractional spin, but how the spin-statistics relation emerges from many-body physics remains poorly understood. Here we prove a spin-statistics relation using only FQH wave functions, on both the sphe...