Inductive Probing of the Integer Quantum Hall Effect

TL;DR

This paper explores the Integer Quantum Hall Effect using an inductive approach, revealing how edge states dominate conduction when the Fermi energy is between Landau levels and how bulk states contribute to Hall current without screening.

Contribution

It introduces an inductive probing method to study the IQHE, providing new insights into the roles of edge and bulk states in quantum Hall conduction.

Findings

Edge states are the only extended states at the Fermi energy when between Landau levels.

Bulk extended states can carry Hall current but do not screen electrostatic potentials.

The study clarifies the spatial distribution of extended states in IQHE.

Abstract

We investigated the Integer Quantum Hall Effect (IQHE) using an inductive method. The following conclusions can be derived from our study: (i) when the Fermi energy is located between Landau levels the only extended states at the Fermi energy are located at the physical edges of the sample. (ii) the extended states located at the bulk of the sample below the Fermi energy are capable of carrying a substantial amount of Hall current, but cannot screen an external electrostatic potential.