Understanding the Missing Fractional Quantum Hall States in ZnO

Abstract

We have analyzed the crucial role the Coulomb interaction strength plays on the even and odd denominator fractional quantum Hall effects in a two-dimensional electron gas (2DEG) in the ZnO heterointerface. In this system, the Landau level gaps are much smaller than those in conventional GaAs systems. The Coulomb interaction is also very large compared to the Landau level gap even in very high magnetic fields. We therefore consider the influence of higher Landau levels by considering the screened Coulomb potential in the random phase approximation. Interestingly, our exact diagonalization studies of the collective modes with this screened potential successfully explain recent experiments of even and odd denominator fractional quantum Hall effects, in particular, the unexpected absence of the 5/2 state and the presence of 9/2 state in ZnO.

5 pages, 4 figures

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Cited by in corpus (8)

• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• The Pfaffian state in an electron gas with small Landau level gaps
• Interaction-Driven Distinctive Electronic States of Artificial Atoms at the ZnO Interface
• Tilt-Induced Phase Transitions in Even-Denominator Fractional Quantum Hall States at the ZnO Interface
• Tuning the Topological Features of Quantum-Dot Hydrogen and Helium by a Magnetic Field
• Disappearence of the Aharonov-Bohm Effect for Interacting Electrons in a ZnO Quantum Ring
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Massive spin-flip excitations in a $\nu =2$ quantum Hall ferromagnet