Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4

Abstract

Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs are those observed at even-denominator Landau level filling factors, as their quasi-particles are generally believed to obey non-Abelian statistics and be of potential use in topological quantum computing. Such states, however, are very rare and fragile, and are typically observed in the excited Landau level of 2D electron systems with the lowest amount of disorder. Here we report the observation of a new and unexpected even-denominator FQHS at filling factor ν = 3/4 in a GaAs 2D hole system with an exceptionally high quality (mobility). Our magneto-transport measurements reveal a strong minimum in the longitudinal resistance at ν = 3/4, accompanied by a developing Hall plateau centered at (h/e2)/(3/4). This even-denominator FQHS is very unusual as it is observed in the lowest Landau level and in a 2D hole system. While its origin is unclear, it is likely a non-Abelian state, emerging from the residual interaction between composite fermions.

6+6 pages, 3+3 figures; featured in Physics; featured as Editor's suggestion

References in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Ultra-high quality two-dimensional electron systems
• Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Density and well width dependences of the effective mass of twodimensional holes in (100) GaAs quantum wells measured by cyclotron resonance at microwave frequencies
• Fractional quantum Hall effect energy gap: role of electron layer thickness
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Record-quality GaAs two-dimensional hole systems
• Bloch Ferromagnetism of Composite Fermions
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Origin of the $\nu =1/2$ fractional quantum Hall effect in wide quantum wells

Cited by in corpus (18)

• Composite-fermion pairing at half and quarter filled lowest Landau level
• Composite fermion pairing induced by Landau level mixing
• Fractional Quantum Hall State at Filling Factor $\nu =1/4$ in Ultra-High-Quality GaAs 2D Hole Systems
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Ultraclean two-dimensional hole systems with mobilities exceeding 10${}^7$ cm${}^2$/Vs
• Competing Many-Body Phases at Small Fillings in Ultrahigh-Quality GaAs 2D Hole Systems: Role of Landau Level Mixing
• Developing fractional quantum Hall states at $\nu$ = $\frac{1}{7}$ and $\frac{2}{11}$ in the presence of significant Landau level mixing
• Fractional quantum Hall state at $\nu =1/2$ with energy gap up to 6 K, and possible transition from one- to two-component state
• Quantization of resistivity as consequence of symmetry invariance
• Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Cascade of fractional quantum Hall states in 2D system
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor