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Formulation of the relativistic quantum Hall effect and parity anomaly

Formulation of the relativistic quantum Hall effect and parity anomaly

We present a relativistic formulation of the quantum Hall effect on Haldane sphere. An explicit form of the pseudopotential is derived for the relativistic quantum Hall effect with/without mass term. We clarify particular features of the relativistic quantum Hall states with the use of the exact diagonalization study of the …