Wannier functions and Fractional Quantum Hall Effect
R. Ferrari
TL;DR
This paper introduces Wannier functions for electrons in a magnetic field and explores their relevance to the Fractional Quantum Hall Effect, demonstrating the construction of a Hartree-Fock state using these functions.
Contribution
It presents a novel application of Wannier functions to model electrons in magnetic fields and connects this to the Fractional Quantum Hall Effect with a new Hartree-Fock state.
Findings
Wannier functions can be constructed for electrons in magnetic fields
A Hartree-Fock state relevant to the FQHE is built using Wannier functions
The approach provides new insights into the electronic structure in quantum Hall systems
Abstract
We introduce and study the Wannier functions for an electron moving in a plane under the influence of a perpendicular uniform and constant magnetic field. The relevance for the Fractional Quantum Hall Effect is discussed; in particular it shown that an interesting Hartree-Fock state can be constructed in terms of Wannier functions.
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