Distinguish dissimilar quantum hall states

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The ground state for a quantum Hall system on a torus by fractional filling factor can be classified by the Chern number, which is why the Hall conductance is quantized. Is there another method or classification one can utilize to distinguish states?

A clearer version of this question: Dissimilar quantum Hall states can be characterized by their different Hall conductances. Is there other characterization that one can use to distinguish dissimilar Quantum Hall States?

Reference no: EM13675366

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