Phase diagram of the Two-Component Fractional Quantum Hall Effect

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.

5 pages, 4 figures

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Cited by in corpus (10)

• Composite Fermions and Broken Symmetries in Graphene
• Luttinger theorem for the strongly correlated Fermi liquid of composite fermions
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Fractionally charged skyrmions in fractional quantum Hall effect
• Possible realization of a chiral p-wave paired state in a two component system
• Complete spin phase diagram of the fractional quantum Hall liquid
• Microwave spectroscopic studies of the bilayer electron solid states at low Landau filling in a wide quantum well
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids