Density-Functional Theory of the Fractional Quantum Hall Effect
- Pennsylvania State Univ., University Park, PA (United States)
- Indian Institute of Science, Bengaluru (India)
Here, 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.
- Research Organization:
- Pennsylvania State Univ., University Park, PA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- SC0005042
- OSTI ID:
- 1489116
- Alternate ID(s):
- OSTI ID: 1356453
- Journal Information:
- Physical Review Letters, Vol. 118, Issue 19; ISSN 0031-9007
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Similar Records
Crystalline solutions of the Kohn-Sham equations in the fractional quantum Hall regime
On extending Kohn-Sham density functionals to systems with fractional number of electrons