Enhancement of the $\nu =5/2$ Fractional Quantum Hall State in a Small In-Plane Magnetic Field

Abstract

Using a 50-nm width, ultra-clean GaAs/AlGaAs quantum well, we have studied the Landau level filling factor $\nu =5/2$ fractional quantum Hall effect in a perpendicular magnetic field $B\sim$ 1.7 T and determined its dependence on tilted magnetic fields. Contrary to all previous results, the 5/2 resistance minimum and the Hall plateau are found to strengthen continuously under an increasing tilt angle $0<\theta <25^{\circ }$ (corresponding to an in-plane magnetic field 0 $<$ $B_{\parallel }$ $<0.8$ T). In the same range of $\theta$ the activation gaps of both the 7/3 and the 8/3 states are found to increase with tilt. The 5/2 state transforms into a compressible Fermi liquid upon tilt angle $\theta >60^{\circ }$, and the composite fermion series [2+$p/(2p\pm 1)$], $p=$ 1, 2 can be identified. Based on our results, we discuss the relevance of a Skyrmion spin texture at $\nu =5/2$ associated with small Zeeman energy in wide quantum wells, as proposed by W$\acute{\text{o}}$js $et$ $al$., Phys. Rev. Lett. 104, 086801 (2010).

5+ pages, 3 figures, accepted for by Phy. Rev. Lett

References in corpus (10)

• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
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• Spin polarization of the $\nu =5/2$ quantum Hall state
• Observation of Quantum Hall Valley Skyrmions
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• Transport gap in a nu=1/3 quantum Hall system: a probe for skyrmions

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• The behavior of the fractional quantum Hall states in the LLL and 1LL with in-plane magnetic field and Landau level mixing: a numerical investigation
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