Density Functional Theory of Composite Fermions

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.

arXiv commentThis paper has been published in Chinese physics letter in 2015

References in corpus (3)

• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Ensemble density functional theory of the fractional quantum Hall effect
• Quantum Anomalous Hall Insulator of Composite Fermions

Cited by in corpus (5)

• Density functional theory of the fractional quantum Hall effect
• Taming Landau level mixing in fractional quantum Hall states with deep learning
• Quantum mechanics of composite fermions
• Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime
• Developments in the applications of density functional theory to fractional quantum Hall systems