Interlayer-correlated fractional quantum Hall state in a trilayer electron system

Abstract

In multilayer quantum Hall systems, when the layer separation is sufficiently small, the interplay between intralayer and interlayer Coulomb interactions can lead to exotic, multi-component, many-body states. A particular example is the even-denominator fractional quantum Hall state (FQHS) at total filling factor $\nu =1/2$ in bilayer systems with negligible interlayer tunneling. This state can be understood as a generalized Laughlin state described by the Halperin-Laughlin ${\Psi }_{331}$ wavefunction. While such correlated states have been extensively explored in bilayers, little is known about their counterparts in systems with more than two layers. Here, we investigate a trilayer two-dimensional electron system confined to ultrahigh-quality GaAs triple quantum wells. We observe an exotic FQHS at total filling factor $\nu =5/7$, evinced by a deep longitudinal resistance minimum and a quantized Hall plateau, when the side layers have a density larger than the middle layer and $d/l_B\simeq 2.2$ ($d$ is the interlayer distance and $l_B$ the magnetic length). This state is naturally interpreted as the long-predicted trilayer, generalized Laughlin (${\Psi }_{33311}$) state, characterized by $\nu =1/3$-like intralayer correlation within each layer and $\nu =1$-like interlayer correlation between neighboring layers. Our observation establishes a new member of the Halperin-Laughlin many-body states that extends interlayer coherence to three coupled layers.

arXiv comment7 + 11 pages, 4 + 9 figures

References in corpus (30)

• Non-Abelian Anyons and Topological Quantum Computation
• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Excitonic superfluid phase in Double Bilayer Graphene
• Quantum Hall Drag of Exciton Superfluid in Graphene
• Exciton Condensation and Perfect Coulomb Drag
• Ultra-high quality two-dimensional electron systems
• Activated Transport in the individual Layers that form the ${\nu }_T$=1 Exciton Condensate
• Evidence for a Bilayer Quantum Wigner Solid
• Interlayer fractional quantum Hall effect in a coupled graphene double-layer
• Evidence for pairing states of composite fermions in double-layer graphene
• Composite Fermions Waltz to the Tune of a Wigner Crystal
• Phase Diagram of Bilayer Composite Fermion States
• Quantum Hall Phase Diagram of Second Landau-level Half-filled Bilayers: Abelian versus Non-Abelian States
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Spontaneous Interlayer Charge Transfer near the Magnetic Quantum Limit
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Geometric Resonance of Composite Fermions near Bilayer Quantum Hall States
• The fractional quantum Hall effect in infinite layer systems
• Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
• Excitons in the Fractional Quantum Hall Effect
• Gap evolution in nu=1/2 bilayer quantum Hall systems
• Correlated states of 2D electrons near the Landau level filling $\nu =1/7$
• Spontaneous coherence and the quantum Hall Effect in triple-layer electron systems
• Microwave spectroscopic observation of a Wigner solid within the 1/2 fractional quantum Hall effect
• Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Fractional quantum Hall state at $\nu =1/2$ with energy gap up to 6 K, and possible transition from one- to two-component state