Incompressible Paired Hall State, Stripe Order, and the Composite Fermion Liquid Phase in Half-Filled Landau Levels

1999/06/30 by E. H. Rezayi, F. D. M. Haldane · 8 citations
Physics and Astronomy · #Composite fermion #Compressibility #Condensed matter physics #Coulomb #Electron #Fermi gas #Fermi liquid theory #Fermion #Fractional quantum Hall effect #Landau quantization #Landau theory #Pairing #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum oscillations #Quantum phase transition #Quantum spin Hall effect #Shubnikov–de Haas effect #Superconductivity #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.84.4685

published as Physical Review Letters 84, 4685 (2000) · Replaced with the published version which has a new title and some other chages

openalex publication_date 2000/05/15 · arxiv created 2001/01/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Exact results for interacting electrons in high Landau levels
• Nonabelions in the fractional quantum hall effect

Cited by

• Parent Hamiltonian Construction of Generalized Calogero-Sutherland Models
• Experimental Demonstration of Fermi Surface Effects at Filling Factor5/2
• Fractional quantum Hall effect in HgTe quantum wells
• Approximate two-body generating Hamiltonian for the particle-hole Pfaffian wave function
• Wigner crystallization of a two-dimensional electron gas in a magnetic field: Single electrons versus electron pairs at the lattice sites
• Edge states and interferometers in the Pfaffian and anti-Pfaffian states of theν=52quantum Hall system
• Fractional Quantum Hall Effects
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids