Short and Long Ranged Impurities in Fractional Quantum Hall Systems

Abstract

Short and long-range impurities have been examined for fractional quantum Hall systems. There appears to be a consistent computational picture for short range impurities. In the case of long range impurities, calculations agree qualitatively with experiment, in that the critical mobility is very sensitive to long range impurities and the critical mobility for long range impurities is larger than the critical mobility for short range impurities. The physical mechanism of this sensitivity and a quantitative understanding remain a challenging computational issue.

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Quantum Hall Spin Diode
• Direct observation of composite fermions and their fully spin-polarized Fermi sea near $\nu =5/2$
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids

Cited by in corpus (2)

• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures