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Fractional quantum numbers via complex orbifolds. (arXiv:1811.11748v1 [math.AG])
来源于:arXiv
This paper studies both the conductance and charge transport on 2D orbifolds
in a strong magnetic field. We consider a family of Landau Hamiltonians on a
complex, compact 2D orbifold $Y$ that are parametrised by the Jacobian torus
$J(Y)$ of $Y$. We calculate the degree of the associated stable holomorphic
spectral orbibundles when the magnetic field $B$ is large, and obtain
fractional quantum numbers as the conductance and a refined analysis also gives
the charge transport. A key tool studied here is a nontrivial generalisation of
the Nahm transform to 2D orbifolds. 查看全文>>