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https://hdl.handle.net/2440/121666
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Type: | Journal article |
Title: | Fractional quantum numbers via complex orbifolds |
Author: | Mathai, V. Wilkin, G. |
Citation: | Letters in Mathematical Physics, 2019; 109(11):2473-2484 |
Publisher: | Springer Nature |
Issue Date: | 2019 |
ISSN: | 0377-9017 1573-0530 |
Statement of Responsibility: | Varghese Mathai, Graeme Wilkin |
Abstract: | 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. |
Keywords: | Fractional quantum numbers; Riemann orbifolds; holomorphic orbibundles; orbifold Nahm transform |
Rights: | © Springer Nature B.V. 2019 |
DOI: | 10.1007/s11005-019-01190-y |
Grant ID: | http://purl.org/au-research/grants/arc/FL170100020 http://purl.org/au-research/grants/arc/DP170101054 |
Published version: | http://dx.doi.org/10.1007/s11005-019-01190-y |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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