Phase Diagram of Integer Quantum Hall Effect

TL;DR

This paper numerically determines the phase diagram of the integer quantum Hall effect in a tight-binding model, aligning well with experimental observations and revealing two distinct insulating phases terminating quantum Hall plateaus.

Contribution

It provides a detailed numerical phase diagram of the integer quantum Hall effect that matches experimental features, including the nature of insulating phases.

Findings

Quantum Hall plateaus are terminated by two distinct insulating phases.

The phase diagram aligns with experimental results.

Insulating phases are characterized by classic and quantized Hall resistance.

Abstract

The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are terminated by two distinct insulating phases, characterized by the Hall resistance with classic and quantized values, respectively, which is also in good agreement with experiments.