---
_id: '18626'
abstract:
- lang: eng
text: We present a simple analytic scheme for calculating the binding energy of
excitons in semiconductors that takes full account of the existing anisotropy
in the effective mass, as a complement to the qualitative treatment in most textbooks.
Results obtained for excitons in gallium nitride form the basis for a discussion
of the accuracy of this approach.
- lang: ger
text: Wir präsentieren ein einfaches analytisches Verfahren zur Berechnung der Bindungsenergie
von Exzitonen in Halbleitern, das die vorhandene Anisotropie in der effektiven
Masse vollständig miteinbezieht, in Ergänzung zu der qualitativen Betrachtung
in den meisten Lehrbüchern. Ergebnisse für Exzitonen in Galliumnitrid bilden die
Grundlage für eine Diskussion der Genauigkeit dieser Methode.
article_type: original
author:
- first_name: Arno
full_name: Schindlmayr, Arno
id: '458'
last_name: Schindlmayr
orcid: 0000-0002-4855-071X
citation:
ama: Schindlmayr A. Excitons with anisotropic effective mass. European Journal
of Physics. 1997;18(5):374-376. doi:10.1088/0143-0807/18/5/011
apa: Schindlmayr, A. (1997). Excitons with anisotropic effective mass. European
Journal of Physics, 18(5), 374–376. https://doi.org/10.1088/0143-0807/18/5/011
bibtex: '@article{Schindlmayr_1997, title={Excitons with anisotropic effective mass},
volume={18}, DOI={10.1088/0143-0807/18/5/011},
number={5}, journal={European Journal of Physics}, publisher={IOP Publishing and
The European Physical Society}, author={Schindlmayr, Arno}, year={1997}, pages={374–376}
}'
chicago: 'Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” European
Journal of Physics 18, no. 5 (1997): 374–76. https://doi.org/10.1088/0143-0807/18/5/011.'
ieee: 'A. Schindlmayr, “Excitons with anisotropic effective mass,” European Journal
of Physics, vol. 18, no. 5, pp. 374–376, 1997, doi: 10.1088/0143-0807/18/5/011.'
mla: Schindlmayr, Arno. “Excitons with Anisotropic Effective Mass.” European
Journal of Physics, vol. 18, no. 5, IOP Publishing and The European Physical
Society, 1997, pp. 374–76, doi:10.1088/0143-0807/18/5/011.
short: A. Schindlmayr, European Journal of Physics 18 (1997) 374–376.
date_created: 2020-08-28T22:03:49Z
date_updated: 2022-11-11T07:00:05Z
ddc:
- '530'
doi: 10.1088/0143-0807/18/5/011
extern: '1'
external_id:
arxiv:
- physics/9709036
file:
- access_level: closed
content_type: application/pdf
creator: schindlm
date_created: 2020-08-28T22:05:27Z
date_updated: 2020-08-30T16:24:01Z
description: © 1997 IOP Publishing Ltd and The European Physical Society
file_id: '18627'
file_name: Arno_Schindlmayr_1997_Eur._J._Phys._18_011.pdf
file_size: 145493
relation: main_file
title: Excitons with anisotropic effective mass
file_date_updated: 2020-08-30T16:24:01Z
has_accepted_license: '1'
intvolume: ' 18'
issue: '5'
language:
- iso: eng
page: 374-376
publication: European Journal of Physics
publication_identifier:
eissn:
- 1361-6404
issn:
- 0143-0807
publication_status: published
publisher: IOP Publishing and The European Physical Society
quality_controlled: '1'
status: public
title: Excitons with anisotropic effective mass
type: journal_article
user_id: '458'
volume: 18
year: '1997'
...
---
_id: '18628'
abstract:
- lang: eng
text: We present a nontrivial model system of interacting electrons that can be
solved analytically in the GW approximation. We obtain the particle number from
the GW Green’s function strictly analytically, and prove that there is a genuine
violation of particle number conservation if the self-energy is calculated non-self-consistently
from a zeroth order Green’s function, as done in virtually all practical implementations.
We also show that a simple shift of the self-energy that partially restores self-consistency
reduces the numerical deviation significantly.
article_type: original
author:
- first_name: Arno
full_name: Schindlmayr, Arno
id: '458'
last_name: Schindlmayr
orcid: 0000-0002-4855-071X
citation:
ama: Schindlmayr A. Violation of particle number conservation in the GW approximation.
Physical Review B. 1997;56(7):3528-3531. doi:10.1103/PhysRevB.56.3528
apa: Schindlmayr, A. (1997). Violation of particle number conservation in the GW
approximation. Physical Review B, 56(7), 3528–3531. https://doi.org/10.1103/PhysRevB.56.3528
bibtex: '@article{Schindlmayr_1997, title={Violation of particle number conservation
in the GW approximation}, volume={56}, DOI={10.1103/PhysRevB.56.3528},
number={7}, journal={Physical Review B}, publisher={American Physical Society},
author={Schindlmayr, Arno}, year={1997}, pages={3528–3531} }'
chicago: 'Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW
Approximation.” Physical Review B 56, no. 7 (1997): 3528–31. https://doi.org/10.1103/PhysRevB.56.3528.'
ieee: 'A. Schindlmayr, “Violation of particle number conservation in the GW approximation,”
Physical Review B, vol. 56, no. 7, pp. 3528–3531, 1997, doi: 10.1103/PhysRevB.56.3528.'
mla: Schindlmayr, Arno. “Violation of Particle Number Conservation in the GW Approximation.”
Physical Review B, vol. 56, no. 7, American Physical Society, 1997, pp.
3528–31, doi:10.1103/PhysRevB.56.3528.
short: A. Schindlmayr, Physical Review B 56 (1997) 3528–3531.
date_created: 2020-08-28T22:07:22Z
date_updated: 2022-11-11T07:00:49Z
ddc:
- '530'
doi: 10.1103/PhysRevB.56.3528
extern: '1'
external_id:
arxiv:
- cond-mat/9709275
isi:
- A1997XR96400004
file:
- access_level: open_access
content_type: application/pdf
creator: schindlm
date_created: 2020-08-28T22:08:35Z
date_updated: 2020-08-30T16:26:32Z
description: © 1997 American Physical Society
file_id: '18629'
file_name: PhysRevB.56.3528.pdf
file_size: 93337
relation: main_file
title: Violation of particle number conservation in the GW approximation
file_date_updated: 2020-08-30T16:26:32Z
has_accepted_license: '1'
intvolume: ' 56'
isi: '1'
issue: '7'
language:
- iso: eng
oa: '1'
page: 3528-3531
publication: Physical Review B
publication_identifier:
eissn:
- 1095-3795
issn:
- 0163-1829
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Violation of particle number conservation in the GW approximation
type: journal_article
user_id: '458'
volume: 56
year: '1997'
...
---
_id: '18630'
abstract:
- lang: eng
text: Inspired by earlier work on the band-gap problem in insulators, we reexamine
the treatment of strongly correlated Hubbard-type models within density-functional
theory. In contrast to previous studies, the density is fully parametrized by
occupation numbers and overlap of orbitals centered at neighboring atomic sites,
as is the local potential by the hopping matrix. This corresponds to a good formal
agreement between density-functional theory in real space and second quantization.
It is shown that density-functional theory is formally applicable to such systems
and the theoretical framework is provided. The question of noninteracting v representability
is studied numerically for finite one-dimnsional clusters, for which exact results
are available, and qualitatively for infinite systems. This leads to the conclusion
that the electron density corresponding to interacting systems of the type studied
here is in fact not noninteracting v representable because the Kohn-Sham electrons
are unable to reproduce the correlation-induced localization correctly.
article_type: original
author:
- first_name: Arno
full_name: Schindlmayr, Arno
id: '458'
last_name: Schindlmayr
orcid: 0000-0002-4855-071X
- first_name: Rex William
full_name: Godby, Rex William
last_name: Godby
citation:
ama: Schindlmayr A, Godby RW. Density-functional theory and the v-representability
problem for model strongly correlated electron systems. Physical Review B.
1995;51(16):10427-10435. doi:10.1103/PhysRevB.51.10427
apa: Schindlmayr, A., & Godby, R. W. (1995). Density-functional theory and the
v-representability problem for model strongly correlated electron systems. Physical
Review B, 51(16), 10427–10435. https://doi.org/10.1103/PhysRevB.51.10427
bibtex: '@article{Schindlmayr_Godby_1995, title={Density-functional theory and the
v-representability problem for model strongly correlated electron systems}, volume={51},
DOI={10.1103/PhysRevB.51.10427},
number={16}, journal={Physical Review B}, publisher={American Physical Society},
author={Schindlmayr, Arno and Godby, Rex William}, year={1995}, pages={10427–10435}
}'
chicago: 'Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and
the v-Representability Problem for Model Strongly Correlated Electron Systems.”
Physical Review B 51, no. 16 (1995): 10427–35. https://doi.org/10.1103/PhysRevB.51.10427.'
ieee: 'A. Schindlmayr and R. W. Godby, “Density-functional theory and the v-representability
problem for model strongly correlated electron systems,” Physical Review B,
vol. 51, no. 16, pp. 10427–10435, 1995, doi: 10.1103/PhysRevB.51.10427.'
mla: Schindlmayr, Arno, and Rex William Godby. “Density-Functional Theory and the
v-Representability Problem for Model Strongly Correlated Electron Systems.” Physical
Review B, vol. 51, no. 16, American Physical Society, 1995, pp. 10427–35,
doi:10.1103/PhysRevB.51.10427.
short: A. Schindlmayr, R.W. Godby, Physical Review B 51 (1995) 10427–10435.
date_created: 2020-08-28T22:09:57Z
date_updated: 2022-11-11T07:01:30Z
ddc:
- '530'
doi: 10.1103/PhysRevB.51.10427
extern: '1'
external_id:
arxiv:
- cond-mat/9709266
isi:
- A1995QW28400017
pmid:
- '9977737'
file:
- access_level: open_access
content_type: application/pdf
creator: schindlm
date_created: 2020-08-28T22:11:01Z
date_updated: 2020-08-30T16:27:22Z
description: © 1995 American Physical Society
file_id: '18631'
file_name: PhysRevB.51.10427.pdf
file_size: 541229
relation: main_file
title: Density-functional theory and the v-representability problem for model strongly
correlated electron systems
file_date_updated: 2020-08-30T16:27:22Z
has_accepted_license: '1'
intvolume: ' 51'
isi: '1'
issue: '16'
language:
- iso: eng
oa: '1'
page: 10427-10435
pmid: '1'
publication: Physical Review B
publication_identifier:
eissn:
- 1095-3795
issn:
- 0163-1829
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Density-functional theory and the v-representability problem for model strongly
correlated electron systems
type: journal_article
user_id: '458'
volume: 51
year: '1995'
...