Quantum localization correction to chiral edge mode transport
We answer the question- Can chiral quantum Hall edge modes suffer localization? in the affirmative. Hitherto, only seen in quantum diffusive transport, a quantum localization correction arises in the calculation of the Hall and 2-terminal resistance. To elaborate, for an N terminal quantum Hall sample a quantum localization correction term arises when all the contacts of the sample are disordered. Increasing the number of contacts in the sample reduces the quantum localization correction. Moreover, the presence of inelastic scattering can completely kill this localization correction term.