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Density-Functional Theory of the Fractional Quantum Hall Effect

Zhao, Jianyun and Thakurathi, Manisha and Jain, Manish and Sen, Diptiman and Jain, J K (2017) Density-Functional Theory of the Fractional Quantum Hall Effect. In: PHYSICAL REVIEW LETTERS, 118 (19).

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.118.196802

Abstract

A conceptual difficulty in formulating the density-functional theory of the fractional quantum Hall effect is that while in the standard approach the Kohn-Sham orbitals are either fully occupied or unoccupied, the physics of the fractional quantum Hall effect calls for fractionally occupied Kohn-Sham orbitals. This has necessitated averaging over an ensemble of Slater determinants to obtain meaningful results. We develop an alternative approach in which we express and minimize the grand canonical potential in terms of the composite fermion variables. This provides a natural resolution of the fractional-occupation problem because the fully occupied orbitals of composite fermions automatically correspond to fractionally occupied orbitals of electrons. We demonstrate the quantitative validity of our approach by evaluating the density profile of fractional Hall edge as a function of temperature and the distance from the delta dopant layer and showing that it reproduces edge reconstruction in the expected parameter region.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 10 Jun 2017 04:38
Last Modified: 10 Jun 2017 04:38
URI: http://eprints.iisc.ac.in/id/eprint/57159

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