Fractionalisation and dynamics of anyons at $\nu =n+1/3$ in fractional quantum Hall effect and their experimental signatures

Abstract

We show the low-lying excitations at filling factor $\nu =n+1/3$ with realistic interactions are contained completely within the well-defined Hilbert space of "Gaffnian quasiholes". Each Laughlin quasihole can thus be understood as a bound state of two Gaffnian quasiholes, which in the lowest Landau level (LLL) behaves like "partons" with "asymptotic freedom" mediated by neutral excitations acting as "gluons". Near the experimentally observed nematic FQH phase in higher LLs, quasiholes become weakly bounded and fractionalise with rich dynamical properties. By studying the effective interactions between quasiholes, we predict a finite temperature phase transition of the Laughlin quasiholes even when the Laughlin ground state remains incompressible, and derive relevant experimental conditions for its possible observations.

arXiv comment4+ pages, 4 figures. Comments welcome

References in corpus (36)

• Fractional Quantum Hall States and Jack Polynomials
• Quantum Hall Physics - hierarchies and CFT techniques
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
• A nu=2/5 Paired Wavefunction
• Observation of a Nematic Quantum Hall Liquid on the Surface of Bismuth
• Generalized Clustering Conditions of Jack Polynomials at Negative Jack Parameter $\alpha$
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Properties of Non-Abelian Fractional Quantum Hall States at Filling $\nu =\frac{k}{r}$
• Field theory of the quantum Hall nematic transition
• Parton construction of a wave function in the anti-Pfaffian phase
• Clustering Properties and Model Wavefunctions for Non-Abelian Fractional Quantum Hall Quasielectrons
• Conformal invariance of chiral edge theories
• Theory of Nematic Fractional Quantum Hall State
• Generalized Quantum Hall Projection Hamiltonians
• Fibonacci Anyons From Abelian Bilayer Quantum Hall States
• Landau Level Quantization on the Sphere
• The Fractional Quantum Hall States at $\nu =13/5$ and $12/5$ and their Non-Abelian Nature
• Role of exciton screening in the 7/3 fractional quantum Hall effect
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• From Irrational to Non-Unitary: on the Haffnian and Haldane-Rezayi wave functions
• Nature of Quasielectrons and the Continuum of Neutral Bulk Excitations in the Laughlin Quantum Hall Fluids
• Microscopic theory for nematic fractional quantum Hall effect
• Thin torus perturbative analysis of elementary excitations in the Gaffnian and Haldane-Rezayi quantum Hall states
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• Emergent Commensurability from Hilbert Space Truncation in Fractional Quantum Hall Fluids
• Single-electron tunneling in the fractional quantum Hall effect regime
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Gaplessness of the Gaffnian
• The Neutral Excitations in the Gaffnian State
• The Gaffnian and Haffnian: physical relevance of non-unitary CFT for incompressible fractional quantum Hall effect
• Fractional quantum Hall effect from frustration-free Hamiltonians
• Mean field approximations for short range four body interactions at $\nu =3/5$

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