Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field

Abstract

Using a tilted field geometry, the effect of an in-plane magnetic field on the even denominator nu = 5/2 fractional quantum Hall state is studied. The energy gap of the nu = 5/2 state is found to collapse linearly with the in-plane magnetic field above ~0.5 T. In contrast, a strong enhancement of the gap is observed for the nu = 7/3 state. The radically distinct tilted-field behaviour between the two states is discussed in terms of Zeeman and magneto-orbital coupling within the context of the proposed Moore-Read pfaffian wavefunction for the 5/2 fractional quantum Hall effect.

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• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Optical Probing of the Spin Polarization of the nu=5/2 Quantum Hall State
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• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
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• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
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• Piezo-driven sample rotation system with ultra-low electron temperature
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• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Tilt-Induced Phase Transitions in Even-Denominator Fractional Quantum Hall States at the ZnO Interface
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• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Magnetization and Spin Excitations of Non-Abelian Quantum Hall States
• Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$
• Domain Textures in the Fractional Quantum Hall Effect
• Observation of exchange Coulomb interactions in the quantum Hall state at nu=3
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• Quantization of resistivity as consequence of symmetry invariance