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arXiv · 1903.03261

Density Functional Theory of Composite Fermions

Yinhan Zhang·Junren Shi
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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.

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Yinhan Zhang, Junren Shi. 2019-03-08. Density Functional Theory of Composite Fermions. https://doi.org/10.1088/0256-307x%2F32%2F3%2F037101

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