Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy

Abstract

We find the finite-width, i.e., the layer thickness, of experimental quasi-two dimensional systems produces a physical environment sufficient to stabilize the Moore-Read Pfaffian state thought to describe the fractional quantum Hall effect at filling factor $\nu =5/2$. This conclusion is based on exact calculations performed in the spherical and torus geometries, studying wavefunction overlap and ground state degeneracy

5 pages, 3 figures, updated with published version

References in corpus (8)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Fractional Quantum Hall Effect in the Second Landau Level
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function
• Fermions out of Dipolar Bosons in the lowest Landau level

Cited by in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• The non-Abelian Interferometer
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Spontaneous Particle-Hole Symmetry Breaking in the $\nu =5/2$ Fractional Quantum Hall Effect
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Domain walls, fusion rules and conformal field theory in the quantum Hall regime
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Effects of thickness in quantum dots at strong magnetic fields