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arXiv · 1405.0742

Laughlin states and their quasi-particle excitations on the torus

Martin Greiter·Vera Schnells·Ronny Thomale
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Abstract

We provide a full derivation of Laughlin's Jastrow-type wave functions for quantized Hall states subject to periodic boundary conditions using an operator formalism. The construction includes the quasi-hole and the technically more challenging quasi-electron excitation, which was left as an open problem in the classic paper by Haldane and Rezayi [Phys. Rev. B 31, 2529 (1985)].

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Martin Greiter, Vera Schnells, Ronny Thomale. 2016-04-01. Laughlin states and their quasi-particle excitations on the torus. https://doi.org/10.1103/physrevb.93.245156

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