Exact ground state wave functions for \(N\) anyons in a magnetic field on a torus

DOI10.1142/S0217732393002117zbMATH Open1021.81976arXivhep-th/9303120MaRDI QIDQ2727663

Fayyazuddin

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Abstract: The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies.

Full work available at URL: https://arxiv.org/abs/hep-th/9303120

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

ANYON EQUATION ON A TORUS ⋮ \(N\)-anyon problem: Cyclic corrections ⋮ Laughlin type wave function for two-dimensional anyon fields in a KMS-state

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