Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes

Abstract

We investigate the nature of the quantum Hall liquid in a half-filled second Landau level ($n=1$) as a function of band mass anisotropy using numerical exact diagonalization (ED) and density matrix renormalization group (DMRG) methods. We find increasing the mass anisotropy induces a quantum phase transition from the Moore-Read state to a charge density wave state. By analyzing the energy spectrum, guiding center structure factors and by adding weak pinning potentials, we show that this charge density wave is a uni-directional quantum Hall stripe, which has a periodicity of a few magnetic lengths and survives in the thermodynamic limit. We find smooth profiles for the guiding center occupation function that reveal the strong coupling nature of the array of chiral Luttinger liquids residing at the stripe edges.

5 pages, 3 figures

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Cited by in corpus (19)

• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Anisotropic Pseudopotential Characterization of Quantum Hall Systems under Tilted Magnetic Field
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
• Non-Abelian quasiholes in lattice Moore-Read states and parent Hamiltonians
• Geometry of flux attachment in anisotropic fractional quantum Hall states
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Hamiltonian theory for Quantum Hall systems in a tilted magnetic field: robustness of activation gaps
• Interaction-dependent anisotropy of fractional quantum Hall states
• Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$
• Charge density waves and their transitions in anisotropic quantum Hall systems
• Anisotropic quantum Hall states in the presence of interactions with fourfold rotational symmetry
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures