Landau-level-mixing and the ground state of the 5/2 quantum Hall effect

Abstract

Inter-Landau-level transitions break particle hole symmetry and will choose either the Pfaffian or the anti-Pfaffian state as the absolute ground state at 5/2 filling of the fractional quantum Hall effect. An approach based on truncating the Hilbert space has favored the anti-Pfaffian. A second approach based on an effective Hamiltonian produced the Pfaffian. In this letter perturbation theory is applied to finite sizes without bias to any specific pseudo-potential component. This method also singles out the anti-Pfaffian. A critical piece of the effective Hamiltonian, which was absent in previous studies, reverts the ground state at 5/2 to the anti-Pfaffian.

5 pages, 6 figures

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• Spin polarization of the $\nu =5/2$ quantum Hall state
• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• Quantum Hall Spin Diode

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