Stationary Occupied State in a Coulomb Potential with Electron Screening

Ouisse, T.

doi:10.1143/jpsj.67.4157

J. Phys. Soc. Jpn.

1998

DOI: 10.1143/jpsj.67.4157

|View full text |Cite

Stationary Occupied State in a Coulomb Potential with Electron Screening

T. Ouisse¹

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1999

2022

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…-The case of the empty site has been thoroughly studied in many papers and here only the calculation details of the occupied case are given. Besides, I have already treated in detail elsewhere the case of the TF approximation, with an emphasis put on scattering phenomena [9]. I shall therefore focus on Lindhard screening, treated in reciprocal space.…”

mentioning

confidence: 99%

“…With TF screening this potential can be expressed analytically in real space [9], but with Lindhard screening it is much easier to solve the Schrödinger equation in q-space. The kinetic energy part is T = h2 a 2 /2m, m being an effective mass, and the potential energy is [3] W e = eV e ( q )G( q )d 3 q ,…”

mentioning

confidence: 99%

“…The electrostatic terms have already been explicited in ref. [9,16]. The kinetic energy terms of the screening cloud which must be subtracted from one another are of the form [14]…”

mentioning

confidence: 99%

See 2 more Smart Citations

Influence of a bound electron on the screening of a test charge by an electron gas

Ouisse¹

1999

Europhys. Lett.

View full text Add to dashboard Cite

By including the contribution of a bound electron to the potential to be screened, it is shown that the screening cloud around a Coulomb charge is repelled so as to enable the formation of a persistent localized state. This result is obtained either with Thomas-Fermi or Lindhard screening, and is applied to the determination of Mott's critical density.Introduction. -The bound states induced by a test charge screened by an electron gas have already been the subject of numerous papers. Their determination was primarily of interest in the study of the Metal-Insulator Transition (MIT) (see, e.g., [1][2][3][4]). Screened potentials are also known for exhibiting specific features such as Friedel oscillations, either in three-dimensional [5] or two-dimensional systems [6]. More recently, some authors also investigated the possibility of occurrence of a bound state in the attractive part of such oscillating potentials, either attractive or repulsive [7]. In all the cases I am aware of, an important property of such bound systems seems to have remained unnoticed: In contrast to the stationary states induced by an unscreened potential, as, for instance, with a hydrogen atom in vacuum or an impurity in a low-doped semiconductor, the potential felt by the trapped electron is not the same as the one which exists in the absence of such an electron. In other words, the screening of the test charge is also a function of the potential induced by the wave function of the bound particle. That the localized electron tends to repel the screening cloud should indeed be a trivial remark. But I wish to show that this may have major consequences, since this implies that the binding energy is not the same, depending on whether an electron was present or not in the site before switching on electron screening. Indeed, we shall see that even when the increase in electron density is such that there is no longer an empty state, the binding energy of the occupied state never vanishes. For the sake of clarity (and brevity), in this letter, I only intend to provide the simplest comprehensive example of such a phenomenon, in a three-dimensional system. I have therefore chosen to treat the case of an occupied bound state with a positive test charge, the screening of which is accounted for by introducing either the Lindhard or the Thomas-Fermi

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Influence of a bound electron on the screening of a test charge by an electron gas

Ouisse¹

1999

Europhys. Lett.

View full text Add to dashboard Cite

show abstract

Calculation of the mobility in Al2O3/GaN electron channel: Effect of p-doping and comparison with experiments

Rrustemi¹,

Triozon²,

Jaud³

et al. 2022

Solid-State Electronics

View full text Add to dashboard Cite

Neutral impurity scattering with electron screening

Ouisse¹

1999

Physica B: Condensed Matter

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Stationary Occupied State in a Coulomb Potential with Electron Screening

Cited by 3 publications

References 19 publications

Influence of a bound electron on the screening of a test charge by an electron gas

Influence of a bound electron on the screening of a test charge by an electron gas

Calculation of the mobility in Al2O3/GaN electron channel: Effect of p-doping and comparison with experiments

Neutral impurity scattering with electron screening

Contact Info

Product

Resources

About