Phase diagram of the Two-Component Fractional Quantum Hall Effect

TL;DR

This paper maps the phase diagram of the two-component fractional quantum Hall effect, revealing new phase transitions influenced by Zeeman energy and filling factor, relevant to graphene and quantum well systems.

Contribution

It provides the first comprehensive phase diagram for the two-component fractional quantum Hall effect considering spin and valley degrees of freedom.

Findings

Identifies new phase transitions and boundaries across fractional plateaus.

Shows relevance to experimental systems like graphene and quantum wells.

Abstract

We calculate the phase diagram of the two component fractional quantum Hall effect as a function of the spin or valley Zeeman energy and the filling factor, which reveals new phase transitions and phase boundaries spanning many fractional plateaus. This phase diagram is relevant to the fractional quantum Hall effect in graphene and in GaAs and AlAs quantum wells, when either the spin or valley degree of freedom is active.