Laughlin states and their quasiparticle excitations on the torus
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)