Topological d-wave pairing structures in Jain states

Abstract

We discuss d-wave topological (broken time reversal symmetry) pairing structures in unpolarized and polarized Jain states. We demonstrate pairing in the Jain spin singlet state by rewriting it in an explicit pairing form, in which we can recognize d-wave weak pairing of underlying quasiparticles - neutral fermions. We find and describe the root configuration of the Jain spin singlet state and its connection with neutral excitations of the Haldane-Rezayi state, and study the transition between these states via exact diagonalization. We find high overlaps with the Jain spin singlet state upon a departure from the hollow core model for which the Haldane-Rezayi state is the exact ground state. Due to a proven algebraic identity we were able to extend the analysis of topological d-wave pairing structures to polarized Jain states and integer quantum Hall states, and discuss its consequences.

8 pages

References in corpus (5)

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• Clustering Properties and Model Wavefunctions for Non-Abelian Fractional Quantum Hall Quasielectrons
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• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Unlocking new regimes in fractional quantum Hall effect with quaternions
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• Composite Fermion Wavefunctions Derived by Conformal Field Theory
• From the Gaffnian critical point to the incompressible 2/5 quantum Hall state