## Fractional quantum numbers via complex orbifolds. (arXiv:1811.11748v1 [math.AG])

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

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 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.
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