Fractional Quantum Hall Hierarchy and the Second Landau Level

Details Fractional Quantum Hall Hierarchy and the Second Landau Level Fractional Quantum Hall Hierarchy and the Second Landau Level

2007-11-20

arxiv.org/abs/0711.3204v3

Phys. Rev. B 78, 125323 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages; v2: many additional details and discussion included to help clarify the original results, including a composite ferm

Scientific paper

10.1103/PhysRevB.78.125323

We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the nu = 5/2 Moore-Read state, we construct new explicit trial wavefunctions to describe the fractional quantum Hall effect in the second Landau level. The resulting hierarchy of states, which reproduces the filling fractions of all observed Hall conductance plateaus in the second Landau level, is characterized by electron pairing in the ground state and an excitation spectrum that includes non-Abelian anyons of the Ising type. We propose this as a unifying picture in which p-wave pairing characterizes the fractional quantum Hall effect in the second Landau level.

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