Density Functional Theory of Composite Fermions


Zhang Y-H, Shi J-R. Density Functional Theory of Composite Fermions. Chinese Phys. Lett. 2015;32:037101.


We construct a density functional theory for two-dimensional 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 a fractional quantum Hall regime that is modified by artificial structures. We also propose a practical way to construct an approximated functional.