Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level

Abstract

In spite of its ubiquity in strongly correlated systems, the competition of paired and nematic ground states remains poorly understood. Recently such a competition was reported in the two-dimensional electron gas at filling factor $\nu =5/2$. At this filling factor a pressure-induced quantum phase transition was observed from the paired fractional quantum Hall state to the quantum Hall nematic. Here we show that the pressure induced paired-to-nematic transition also develops at $\nu =7/2$, demonstrating therefore this transition in both spin branches of the second orbital Landau level. However, we find that pressure is not the only parameter controlling this transition. Indeed, ground states consistent with those observed under pressure also develop in a sample measured at ambient pressure, but in which the electron-electron interaction was tuned close to its value at the quantum critical point. Our experiments suggest that electron-electron interactions play a critical role in driving the paired-to-nematic transition.

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Cited by in corpus (22)

• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Cooling low-dimensional electron systems into the microkelvin regime
• Microscopic Model for Fractional Quantum Hall Nematics
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Complete spin phase diagram of the fractional quantum Hall liquid
• Piezo-driven sample rotation system with ultra-low electron temperature
• Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Magnetotransport patterns of collective localization near $\nu =1$ in a high-mobility two-dimensional electron gas
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Interaction between Surface Acoustic Wave and Quantum Hall Effects
• Universal collective modes in 2 dimensional chiral superfluids
• Charge density waves and their transitions in anisotropic quantum Hall systems
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Re-Symmetrizing the Broken Symmetry with Isotropic Hydrostatic Pressure
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• Orientation of hole quantum Hall nematic phases in an out-of-plane electric field
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions