Quasihole Tunneling in Disordered Fractional Quantum Hall Systems
Min Lu1, Na Jiang1, Xin Wan1,2**
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027 2CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190
Abstract：Fractional quantum Hall systems are often described by model wave functions, which are the ground states of pure systems with short-range interaction. A primary example is the Laughlin wave function, which supports Abelian quasiparticles with fractionalized charge. In the presence of disorder, the wave function of the ground state is expected to deviate from the Laughlin form. We study the disorder-driven collapse of the quantum Hall state by analyzing the evolution of the ground state and the single-quasihole state. In particular, we demonstrate that the quasihole tunneling amplitude can signal the fractional quantum Hall phase to insulator transition.
2019, Vol. 36 
