Energies and densities of electrons confined in elliptical and ellipsoidal quantum dots

Halder, Avik; Kresin, Vitaly V.

doi:10.1088/0953-8984/28/39/395302

Title: Energies and densities of electrons confined in elliptical and ellipsoidal quantum dots

Journal Article · Tue Aug 09 00:00:00 EDT 2016 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/0953-8984/28/39/395302· OSTI ID:1352650

Halder, Avik ^[1]; Kresin, Vitaly V. ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

Here, we consider a droplet of electrons confined within an external harmonic potential well of elliptical or ellipsoidal shape, a geometry commonly encountered in work with semiconductor quantum dots and other nanoscale or mesoscale structures. For droplet sizes exceeding the effective Bohr radius, the dominant contribution to average system parameters in the Thomas– Fermi approximation comes from the potential energy terms, which allows us to derive expressions describing the electron droplet’s shape and dimensions, its density, total and capacitive energy, and chemical potential. Our analytical results are in very good agreement with experimental data and numerical calculations, and make it possible to follow the dependence of the properties of the system on its parameters (the total number of electrons, the axial ratios and curvatures of the confinement potential, and the dielectric constant of the material). One interesting feature is that the eccentricity of the electron droplet is not the same as that of its confining potential well.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: AC02-06CH11357; AC-02-06CH11357

OSTI ID:: 1352650

Alternate ID(s):: OSTI ID: 1287745

Journal Information:: Journal of Physics. Condensed Matter, Vol. 28, Issue 39; ISSN 0953-8984

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 5 works

Citation information provided by
Web of Science

References (29)

Few-electron quantum dots Kouwenhoven, L. P.; Austing, D. G.; Tarucha, S. Reports on Progress in Physics, Vol. 64, Issue 6 https://doi.org/10.1088/0034-4885/64/6/201	journal	May 2001
Spectroscopy of Quantum Levels in Charge-Tunable InGaAs Quantum Dots Drexler, H.; Leonard, D.; Hansen, W. Physical Review Letters, Vol. 73, Issue 16 https://doi.org/10.1103/PhysRevLett.73.2252	journal	October 1994
Ellipsoidal deformation of vertical quantum dots Austing, D. G.; Sasaki, S.; Tarucha, S. Physical Review B, Vol. 60, Issue 16 https://doi.org/10.1103/PhysRevB.60.11514	journal	October 1999
Excitation of three-dimensional quantum dots Meurer, B.; Heitmann, D.; Ploog, K. Physical Review B, Vol. 48, Issue 15 https://doi.org/10.1103/PhysRevB.48.11488	journal	October 1993
Collective resonances and response properties of electrons in metal clusters Kresin, Vitaly V. Physics Reports, Vol. 220, Issue 1 https://doi.org/10.1016/0370-1573(92)90056-6	journal	November 1992
Shell-correction method for calculating the binding energy of metal clusters: Application to multiply charged anions Yannouleas, C.; Landman, Uzi Physical Review B, Vol. 48, Issue 11 https://doi.org/10.1103/PhysRevB.48.8376	journal	September 1993
Erratum: Thomas-Fermi and related theories of atoms and molecules Lieb, Elliott H. Reviews of Modern Physics, Vol. 54, Issue 1 https://doi.org/10.1103/RevModPhys.54.311	journal	January 1982
Large two-dimensional electronic systems: Self-consistent energies and densities at low cost Räsänen, E.; Pittalis, S.; Bekçioğlu, G. Physical Review B, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevB.87.035144	journal	January 2013
Dynamic response of quantum dots Shikin, V.; Nazin, S.; Heitmann, D. Physical Review B, Vol. 43, Issue 14 https://doi.org/10.1103/PhysRevB.43.11903	journal	May 1991
Flat Thomas-Fermi artificial atoms Ovchinnikov, Yu. N.; Halder, Avik; Kresin, Vitaly V. EPL (Europhysics Letters), Vol. 107, Issue 3 https://doi.org/10.1209/0295-5075/107/37001	journal	July 2014
Prediction of quantum dot characteristics through universal scaling relations Odriazola, A.; González, A.; Räsänen, E. Journal of Physics: Condensed Matter, Vol. 26, Issue 35 https://doi.org/10.1088/0953-8984/26/35/355501	journal	August 2014
Electrons Trapped in an Anisotropic Parabolic Potential Well, Thomas-Fermi Approach SaÑUdo, J.; Pacheco, A. F. International Journal of Modern Physics B, Vol. 22, Issue 05 https://doi.org/10.1142/S0217979208038740	journal	February 2008
Elliptical multielectron dimples on liquid and solid helium surfaces Shikin, V. B.; Leiderer, P. Solid State Communications, Vol. 47, Issue 4 https://doi.org/10.1016/0038-1098(83)90560-4	journal	July 1983
Contact Mechanics Johnson, K. L. https://doi.org/10.1017/CBO9781139171731	book	January 1985
Electronic structures in circular, elliptic, and triangular quantum dots Ezaki, T.; Mori, N.; Hamaguchi, C. Physical Review B, Vol. 56, Issue 11 https://doi.org/10.1103/PhysRevB.56.6428	journal	September 1997
Shell Filling and Spin Effects in a Few Electron Quantum Dot Tarucha, S.; Austing, D. G.; Honda, T. Physical Review Letters, Vol. 77, Issue 17 https://doi.org/10.1103/PhysRevLett.77.3613	journal	October 1996
Ellipsoidal shell structure in free-electron metal clusters Clemenger, Keith Physical Review B, Vol. 32, Issue 2 https://doi.org/10.1103/PhysRevB.32.1359	journal	July 1985
The physics of simple metal clusters: experimental aspects and simple models de Heer, Walt A. Reviews of Modern Physics, Vol. 65, Issue 3 https://doi.org/10.1103/RevModPhys.65.611	journal	July 1993
The Spectroscopy of Quantum Dot Arrays Heitmann, Detlef; Kotthaus, Jörg P. Physics Today, Vol. 46, Issue 6 https://doi.org/10.1063/1.881355	journal	June 1993
Localization in Artificial Disorder: Two Coupled Quantum Dots Brodsky, M.; Zhitenev, N. B.; Ashoori, R. C. Physical Review Letters, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevLett.85.2356	journal	September 2000
Electronic structure of quantum dots Reimann, Stephanie M.; Manninen, Matti Reviews of Modern Physics, Vol. 74, Issue 4 https://doi.org/10.1103/RevModPhys.74.1283	journal	November 2002
Artificial Atoms Kastner, Marc A. Physics Today, Vol. 46, Issue 1 https://doi.org/10.1063/1.881393	journal	January 1993
Capacitive nature of atomic-sized structures Iafrate, G. J.; Hess, K.; Krieger, J. B. Physical Review B, Vol. 52, Issue 15 https://doi.org/10.1103/PhysRevB.52.10737	journal	October 1995
Demagnetizing Factors of the General Ellipsoid Osborn, J. A. Physical Review, Vol. 67, Issue 11-12 https://doi.org/10.1103/PhysRev.67.351	journal	June 1945
XCVII. The demagnetizing factors for ellipsoids Stoner, Edmund C. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 36, Issue 263 https://doi.org/10.1080/14786444508521510	journal	December 1945
Electronic structure of three-dimensional isotropic quantum dots by four-component relativistic coupled cluster methods Yakobi, Hana; Eliav, Ephraim; Kaldor, Uzi The Journal of Chemical Physics, Vol. 134, Issue 5 https://doi.org/10.1063/1.3533778	journal	February 2011
Shell filling of artificial atoms within density-functional theory Lee, In-Ho; Rao, Vivek; Martin, Richard M. Physical Review B, Vol. 57, Issue 15 https://doi.org/10.1103/PhysRevB.57.9035	journal	April 1998
Electronic structure of three-dimensional quantum dots Vorrath, T.; Bl�mel, R. The European Physical Journal B - Condensed Matter, Vol. 32, Issue 2 https://doi.org/10.1140/epjb/e2003-00092-8	journal	March 2003
Recent Advances in Two-Dimensional Materials beyond Graphene Bhimanapati, Ganesh R.; Lin, Zhong; Meunier, Vincent ACS Nano, Vol. 9, Issue 12 https://doi.org/10.1021/acsnano.5b05556	journal	October 2015

Cited By (1)

Donor Impurity-Related Optical Absorption in GaAs Elliptic-Shaped Quantum Dots Londoño, M. A.; Restrepo, R. L.; Ojeda, J. H. Journal of Nanomaterials, Vol. 2017 https://doi.org/10.1155/2017/5970540	journal	January 2017

Similar Records

Spherical nematic shells with a prolate ellipsoidal core

Journal Article · Thu Sep 21 00:00:00 EDT 2017 · Soft Matter · OSTI ID:1352650

Sadati, Monirosadat; Zhou, Ye; Melchert, Drew; +5 more

First-principle study of quantum confinement effect on small sized silicon quantum dots using density-functional theory

Journal Article · Wed Sep 03 00:00:00 EDT 2014 · AIP Conference Proceedings · OSTI ID:1352650

Anas, M. M.; Othman, A. P.; Gopir, G.

Deformed shapes of hadrons. [Variational principle]

Conference · Fri Jun 01 00:00:00 EDT 1979 · OSTI ID:1352650

Parmentola, J

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Thomas–Fermi theory
nanoclusters
quantum dots
self-consistent field

Title: Energies and densities of electrons confined in elliptical and ellipsoidal quantum dots

Citation Formats

References (29)

Cited By (1)

Similar Records

Related Subjects