Fractional quantum numbers via complex orbifolds

Autor:	Mathai, Varghese, Wilkin, Graeme
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Condensed Matter - Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics Mathematics - Differential Geometry
Zdroj:	Lett. Math. Phys., 109, 11, (2019) 2473-2484
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-019-01190-y
Popis:	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. Comment: 11 pp, Lett. Math. Phys. (to appear)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.11748 Zobrazit plný text záznamu View this record from Arxiv