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Invariant structure of the hierarchy theory of fractional quantum Hall states with spin

M. Milovanovic·N. Read
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Abstract

We describe the invariant structure common to abelian fractional quantum Hall systems with spin. It appears in a generalization of the lattice description of the polarized hierarchy that encompasses both partially polarized and unpolarized ground state systems. We formulate, using the spin-charge decomposition, conditions that should be satisfied so that the description is SU(2) invariant. In the case of the spin- singlet hierarchy construction, we find that there are as many SU(2) symmetries as there are levels in the construction. We show the existence of a spin and charge lattice for the systems with spin. The ``gluing'' of the charge and spin degrees of freedom in their bulk is described by the gluing theory of lattices.

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M. Milovanovic, N. Read. 1996-12-16. Invariant structure of the hierarchy theory of fractional quantum Hall states with spin. https://doi.org/10.1103/physrevb.56.1461

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