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Laughlin states and their quasi-particle excitations on the torus

2014/05/31 by Martin Greiter, Vera Schnells, Ronny Thomale · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.93.245156

published as Phys. Rev. B 93, 245156 (2016) · 11 pages, no figures

arxiv created 2016/04/01 · arxiv updated 2016/07/06

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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