Density-functional theory of quantum dots in the high magnetic field limit

T. H. Stoof; G. E.W. Bauer

doi:10.1016/0038-1101(95)00326-6

Density-functional theory of quantum dots in the high magnetic field limit

T. H. Stoof, G. E.W. Bauer

Advanced Institute for Materials Research (AIMR)

Delft University of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study the competition between the exchange and the direct Coulomb interaction near the edge of a quantum dot in a strong magnetic field using the density-functional theory in a local approximation for the exchange-energy functional. We develop a scheme in which it is possible to describe fractional filling in the extreme quantum limit. Exchange plays a significant role in reducing the spatial extent of the compressible edge channel regions obtained from an electrostatic description. The transition from narrow incompressible edge channels to broad compressible strips occurs within a narrow and experimentally accessible range of confinement strengths.

Original language	English
Pages (from-to)	349-352
Number of pages	4
Journal	Solid-State Electronics
Volume	40
Issue number	1-8
DOIs	https://doi.org/10.1016/0038-1101(95)00326-6
Publication status	Published - 1996

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title = "Density-functional theory of quantum dots in the high magnetic field limit",

abstract = "We study the competition between the exchange and the direct Coulomb interaction near the edge of a quantum dot in a strong magnetic field using the density-functional theory in a local approximation for the exchange-energy functional. We develop a scheme in which it is possible to describe fractional filling in the extreme quantum limit. Exchange plays a significant role in reducing the spatial extent of the compressible edge channel regions obtained from an electrostatic description. The transition from narrow incompressible edge channels to broad compressible strips occurs within a narrow and experimentally accessible range of confinement strengths.",

author = "Stoof, {T. H.} and Bauer, {G. E.W.}",

note = "Funding Information: Acknowledgements-The authorsw ouldl ike to thankS asha Khaetskii, Yuli Nazarov and Lex Rijkels for vahrabk discussionsa nd A. H. MacDonaldf or a reprinto f Ref. [4]. This work is part of the researchp rogramo f the “Stichting voor FundamenteeOl nderaoekd er Materie” (FOM), which is financiallys upportedb y the “NederlandseO rganisatie voor WetenschappehjOkn deraoek”( NWO).",

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doi = "10.1016/0038-1101(95)00326-6",

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AU - Stoof, T. H.

AU - Bauer, G. E.W.

N1 - Funding Information: Acknowledgements-The authorsw ouldl ike to thankS asha Khaetskii, Yuli Nazarov and Lex Rijkels for vahrabk discussionsa nd A. H. MacDonaldf or a reprinto f Ref. [4]. This work is part of the researchp rogramo f the “Stichting voor FundamenteeOl nderaoekd er Materie” (FOM), which is financiallys upportedb y the “NederlandseO rganisatie voor WetenschappehjOkn deraoek”( NWO).

PY - 1996

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N2 - We study the competition between the exchange and the direct Coulomb interaction near the edge of a quantum dot in a strong magnetic field using the density-functional theory in a local approximation for the exchange-energy functional. We develop a scheme in which it is possible to describe fractional filling in the extreme quantum limit. Exchange plays a significant role in reducing the spatial extent of the compressible edge channel regions obtained from an electrostatic description. The transition from narrow incompressible edge channels to broad compressible strips occurs within a narrow and experimentally accessible range of confinement strengths.

AB - We study the competition between the exchange and the direct Coulomb interaction near the edge of a quantum dot in a strong magnetic field using the density-functional theory in a local approximation for the exchange-energy functional. We develop a scheme in which it is possible to describe fractional filling in the extreme quantum limit. Exchange plays a significant role in reducing the spatial extent of the compressible edge channel regions obtained from an electrostatic description. The transition from narrow incompressible edge channels to broad compressible strips occurs within a narrow and experimentally accessible range of confinement strengths.

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VL - 40

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EP - 352

JO - Solid-State Electronics

JF - Solid-State Electronics

IS - 1-8

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Density-functional theory of quantum dots in the high magnetic field limit

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