Complete spin phase diagram of the fractional quantum Hall liquid

Abstract

Study of the ground-state electronic spin-polarization can permit discovery and identification of novel correlated phases in the quantum Hall (QH) system. It can thus determine the potential usefulness of QH states for quantum computing. However, prior measurements involving optical and NMR techniques may perturb the system away from delicate ground-states. Here, we present spin-resolved pulsed tunneling (SRPT) that precisely determines the complete phase diagram of the ground-state spin-polarization as a function of magnetic field (B) and filling factor (ν). We observe fully-polarized ν = 5/2 and 8/3 states at very small B, suggesting strong deviation from the weakly-interacting composite-fermion model that largely successfully describes our phase diagram for the lowest Landau level. The results establish SRPT as a powerful technique for investigating correlated electron phenomena.

arXiv comment12 pages, 4 figures, Supplementary Materials

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Cited by in corpus (11)

• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Unconventional ${\mathbb{Z}}_n$ parton states at $\nu =7/3$: The role of finite width
• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
• Time, momentum, and energy resolved pump-probe tunneling spectroscopy of two-dimensional electron systems
• Spin and valley ordering of fractional quantum Hall states in monolayer graphene
• Collective excitations of quantum Hall states under tilted magnetic field
• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Domain Textures in the Fractional Quantum Hall Effect
• Spin polarization of Quantum Hall states for filling factors 1 < v < 2 measured with microcavity polaritons