Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels

Abstract

We consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the Moore-Read state. The critical point is very near the Coulomb potential and the transition can be driven by increasing the width of the electron layer. We find a much weaker transition (either second order or a crossover) from pairing to the composite fermion Fermi liquid behavior. A very similar picture is obtained for the lowest Landau level but the transition point is not near the Coulomb potential.

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References in corpus (6)

• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
• Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\nu =9/2$ and $\nu =5/2$ Under Tilted Magnetic Field
• Charge Density Wave Ordering in Half Filled High Landau Levels

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• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
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• Quantum Hall Liquid Crystals
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• Subband Engineering Even-Denominator Quantum Hall States
• Automatic design of Hamiltonians
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• Numerical studies of the Pfaffian model of the nu=5/2 fractional quantum Hall effect
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• Model interactions for Pfaffian paired states based on Chern-Simons field theory description
• Topological Entropy of Quantum Hall States in Rotating Bose Gases
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
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• Pfaffian paired states for half-integer fractional quantum Hall effect
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• Identifying Quantum Topological Phases Through Statistical Correlation
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• Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
• Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
• Nonperturbative emergence of Dirac fermion in strongly correlated composite fermions of fractional quantum Hall effects
• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
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• Competing quantum Hall phases in the second Landau level in low density limit
• Boson-Lattice Construction for Anyon Models
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
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