2016
DOI: 10.1103/physrevlett.117.096802
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Stabilization of the Particle-Hole Pfaffian Order by Landau-Level Mixing and Impurities That Break Particle-Hole Symmetry

Abstract: Numerical results suggest that the quantum Hall effect at ν = 5/2 is described by the Pfaffian or anti-Pfaffian state in the absence of disorder and Landau level mixing. Those states are incompatible with the observed transport properties of GaAs heterostructures, where disorder and Landau level mixing are strong. We show that the recent proposal of a PH-Pfaffian topological order by Son is consistent with all experiments. The absence of the particle-hole symmetry at ν = 5/2 is not an obstacle to the existence… Show more

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Cited by 120 publications
(159 citation statements)
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References 52 publications
(56 reference statements)
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“…The existence of a quantum critical point in Fig.3 thus highlights the dichotomy of the two descriptions of the half-filled Landau level: one based on electrons [27][28][29] and another on composite fermions 18,19 . Interest in the half-filled Landau level was recently rekindled by theories according to which the composite fermions are Dirac-like at exact particle-hole symmetry [65][66][67][68] . These theories naturally account for a Fermi sea and for a FQHS at half-filling, but do not accomodate the formation of the stripe phase 65 .…”
mentioning
confidence: 99%
“…The existence of a quantum critical point in Fig.3 thus highlights the dichotomy of the two descriptions of the half-filled Landau level: one based on electrons [27][28][29] and another on composite fermions 18,19 . Interest in the half-filled Landau level was recently rekindled by theories according to which the composite fermions are Dirac-like at exact particle-hole symmetry [65][66][67][68] . These theories naturally account for a Fermi sea and for a FQHS at half-filling, but do not accomodate the formation of the stripe phase 65 .…”
mentioning
confidence: 99%
“…Its particle-hole (PH) conjugate, the anti-Pfaffian state [35] is also likely since the two-body Coulomb interaction can not break the PH symmetry in a half-filled Landau level. Recently, a new Pfaffian-like state with PH symmetry [6,36] was proposed and may be valid for strong LLM or disorder. It is convenient to employ the Haldane pseudopotential to study the overlap between the Pfaffian state and the ground state of an even-electron system in the spherical geometry [37,38].…”
mentioning
confidence: 99%
“…This could be due to our choice of planar screened dielectric function. It is also possible that the ground state itself is another Pfaffian-like wave function with PH symmetry [6,36], especially for large κ, the strong LLM region. In the PH symmetric case where the shift is S = −1 and the flux is N P H = 2N e − 1 on a sphere, the ground state is compressible and located at L = 2 for N e = 10 without screening and disorder.…”
mentioning
confidence: 99%
“…Since this is a gapped phase, its properties (i.e., its quasiparticle content) should reflect this compatibility regardless of whether this self-duality is microscopically present. (This is analogous to the PH-Pfaffian, which, as a phase of matter, need not be PH symmetric [60].) It might be interesting to explore more generally how the requirement of self-duality in this sense constrains possible phases and their properties.…”
Section: Gapped Phases and Parent Hamiltoniansmentioning
confidence: 99%