The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Density-functional calculation of sub-band structure in accumulation and inversion layers
Abstract
The Hohenberg-Kohn-Sham theory of an inhomogeneous electron gas is applied to the calculation of the subband structure of accumulation and inversion layers on the Si (100) surface. The exchange-correlation effect is shown to be very important and lower the sub-band energies considerably. Especially in accumulation layers the first excited sub-band really becomes a bound state in contrast to the result of the Hartree approximation. The agreement between the theory and experimental results of inter-sub-band optical transitions is satisfactory. The effective mass and the $g$ factor are also calculated.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Explicit local exchange-correlation potentials
Hedin, L., & Lundqvist, B. I. (1971) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/4/14/022 · Cited by 3,337
Properties of Semiconductor Surface Inversion Layers in the Electric Quantum Limit
Stern, F., & Howard, W. E. (1967) · Physical Review · doi:10.1103/physrev.163.816 · Cited by 1,934
Self-Consistent Results forn-Type Si Inversion Layers
Stern, F. (1972) · Physical Review B · doi:10.1103/physrevb.5.4891 · Cited by 1,176
One-Particle Properties of an Inhomogeneous Interacting Electron Gas
Sham, L. J., & Kohn, W. (1966) · Physical Review · doi:10.1103/physrev.145.561 · Cited by 1,007
Hubbard, J. (1958) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1958.0003 · Cited by 783
Effects of a Tilted Magnetic Field on a Two-Dimensional Electron Gas
Fang, F. F., & Stiles, P. J. (1968) · Physical Review · doi:10.1103/physrev.174.823 · Cited by 490
Theory of Oscillatory g Factor in an MOS Inversion Layer under Strong Magnetic Fields
Ando, T., & Uemura, Y. (1974) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.37.1044 · Cited by 470
Self-citationElectron-Hole Liquids in Semiconductors
Brinkman, W. F., & Rice, T. M. (1973) · Physical Review B · doi:10.1103/physrevb.7.1508 · Cited by 470
Correlation Energy of an Electron Gas with a Slowly Varying High Density
MA, S.-K., & BRUECKNER, K. A. (1968) · Physical Review · doi:10.1103/physrev.165.18 · Cited by 424
Improved Statistical Exchange Approximation for Inhomogeneous Many-Electron Systems
Herman, F., Van Dyke, J. P., & Ortenburger, I. B. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.807 · Cited by 402
The Density-Functional Formalism and the Electronic Structure of Metal Surfaces
Lang, N. D. (1974) · Solid State Physics · doi:10.1016/s0081-1947(08)60204-0 · Cited by 358
The effects of electron-electron interaction on the properties of metals
Rice, T. M. (1965) · Annals of Physics · doi:10.1016/0003-4916(65)90234-4 · Cited by 344
Condensation of excitons in germanium and silicon
Combescot, M., & Nozieres, P. (1972) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/5/17/014 · Cited by 258
gFactor of the Two-Dimensional Interacting Electron Gas
JANAK, J. F. (1969) · Physical Review · doi:10.1103/physrev.178.1416 · Cited by 215
Electron-Electron Interactions Continuously Variable in the Range2.1>rs>0.9
Smith, J. L., & Stiles, P. J. (1972) · Physical Review Letters · doi:10.1103/physrevlett.29.102 · Cited by 185
Electron Exchange Energy in Si Inversion Layers
Stern, F. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.278 · Cited by 131
Effective Mass and g Factor of Interacting Electrons in the Surface Inversion Layer of Silicon
Ting, C. S., Lee, T. K., & Quinn, J. J. (1975) · Physical Review Letters · doi:10.1103/physrevlett.34.870 · Cited by 122
Resonance Spectroscopy of Electronic Levels in a Surface Accumulation Layer
Kamgar, A., Kneschaurek, P., Dorda, G., & Koch, J. F. (1974) · Physical Review Letters · doi:10.1103/physrevlett.32.1251 · Cited by 120
Baraff, G. A., & Appelbaum, J. A. (1972) · Physical review. B, Solid state · doi:10.1103/physrevb.5.475 · Cited by 114
Ohkawa, F. J., & Uemura, Y. (1975) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.57.164 · Cited by 102
Transverse Hall Effect in the Electric Quantum Limit
Stern, F. (1968) · Physical Review Letters · doi:10.1103/physrevlett.21.1687 · Cited by 99
Surface quantum oscillations in (110) and (111) n-type silicon inversion layers
Neugebauer, T., von Klitzing, K., Landwehr, G., & Dorda, G. (1975) · Solid State Communications · doi:10.1016/0038-1098(75)90297-5 · Cited by 85
Subband Structure of an Accumulation Layer under Strong Magnetic Fields
Ando, T. (1975) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.39.411 · Cited by 82
Self-citationCalculated Energy Levels and Optical Absorption in n -Type Si Accumulation Layers at Low Temperature
Stern, F. (1974) · Physical Review Letters · doi:10.1103/physrevlett.33.960 · Cited by 68
The g-Factors of Interacting Electrons in Silicon Inversion Layers
Suzuki, K., & Kawamoto, Y. (1973) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.35.1456 · Cited by 55
Vinter, B. (1975) · Physical Review Letters · doi:10.1103/physrevlett.35.598 · Cited by 50
Electron-electron interactions in the surface inversion layer of a semiconductor
Lee, T. K., Ting, C. S., & Quinn, J. J. (1975) · Solid State Communications · doi:10.1016/0038-1098(75)90835-2 · Cited by 49
Pals, J. A. (1972) · Physical review. B, Solid state · doi:10.1103/physrevb.5.4208 · Cited by 45
Experimental Study of Oscillatory Values of g* of a Two-Dimensional Electron Gas
Lakhani, A. A., & Stiles, P. J. (1973) · Physical Review Letters · doi:10.1103/physrevlett.31.25 · Cited by 36
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Self-citationOn the absorption of infrared radiation by electrons in semiconductor inversion layers
Allen, S. J., Tsui, D. C., & Vinter, B. (1976) · Solid State Communications · doi:10.1016/0038-1098(76)90541-x · Cited by 301
Electronic Structure: Basic Theory and Practical Methods
Martin, R. M. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108555586 · Cited by 269
Metadata
- Authors
- Ando, T.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1976-04-15
- Volume
- 13
- Issue
- 8
- Pages
- 3468-3477
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W1977389106
- Cited by
- 269
- References
- 31
- FWCI
- 16.42
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
