Density Functional Theory of Composite Fermions
arXiv:1903.03261 · doi:10.1088/0256-307X/32/3/037101
Abstract
We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the systems form composite fermion liquids. Our theory provides a systematic and rigorous approach to determine the properties of ground states in fractional quantum Hall regime modified by artificial structures. We also propose a practical way to construct approximated functional.
This paper has been published in Chinese physics letter in 2015