PHYSICAL AND MATHEMATICAL JUSTIFICATION OF THE NUMERICAL BRILLOUIN ZONE INTEGRATION OF THE BOLTZMANN RATE EQUATION BY GAUSSIAN SMEARING

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

ILLG CHRISTIAN; HAAG MICHAEL; TEENY NICOLAS; WIRTH JENS; FAHNLE MANFRED

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2016 | Volume:10 | Issue:1 Page(s): 1-6

Download Full-Text

View:

278

Download:

346

Cites:

Information Journal Paper

Title

PHYSICAL AND MATHEMATICAL JUSTIFICATION OF THE NUMERICAL BRILLOUIN ZONE INTEGRATION OF THE BOLTZMANN RATE EQUATION BY GAUSSIAN SMEARING

Author(s)

Keywords

ELECTRON SCATTERING

BOLTZMANN RATE EQUATIONS

BRILLOUIN ZONE INTEGRATION

TREATMENT OF DIRACS DELTA DISTRIBUTION

Abstract

Scatterings of electrons at quasiparticles or photons are very important for many topics in solid-state physics, e.g., spintronics, magnonics or photonics, and therefore a correct numerical treatment of these scatterings is very important. For a quantum-mechanical description of these scatterings, Fermi’s golden rule is used to calculate the transition rate from an initial state to a final state in a first-order time-dependent perturbation theory. One can calculate the total transition rate from all initial states to all final states with BOLTZMANN RATE EQUATIONS involving BRILLOUIN ZONE INTEGRATIONs. The numerical treatment of these integrations on a finite grid is often done via a replacement of the Dirac delta distribution by a Gaussian. The Dirac delta distribution appears in Fermi’s golden rule where it describes the energy conservation among the interacting particles. Since the Dirac delta distribution is a not a function it is not clear from a mathematical point of view that this procedure is justified. We show with physical and mathematical arguments that this numerical procedure is in general correct, and we comment on critical points.

Cites

No record.

References

No record.

Cite

APA: Copy

ILLG, CHRISTIAN, HAAG, MICHAEL, TEENY, NICOLAS, WIRTH, JENS, & FAHNLE, MANFRED. (2016). PHYSICAL AND MATHEMATICAL JUSTIFICATION OF THE NUMERICAL BRILLOUIN ZONE INTEGRATION OF THE BOLTZMANN RATE EQUATION BY GAUSSIAN SMEARING. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 10(1), 1-6. SID. https://sid.ir/paper/318871/en

Vancouver: Copy

ILLG CHRISTIAN, HAAG MICHAEL, TEENY NICOLAS, WIRTH JENS, FAHNLE MANFRED. PHYSICAL AND MATHEMATICAL JUSTIFICATION OF THE NUMERICAL BRILLOUIN ZONE INTEGRATION OF THE BOLTZMANN RATE EQUATION BY GAUSSIAN SMEARING. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2016;10(1):1-6. Available from: https://sid.ir/paper/318871/en

IEEE: Copy

CHRISTIAN ILLG, MICHAEL HAAG, NICOLAS TEENY, JENS WIRTH, and MANFRED FAHNLE, “PHYSICAL AND MATHEMATICAL JUSTIFICATION OF THE NUMERICAL BRILLOUIN ZONE INTEGRATION OF THE BOLTZMANN RATE EQUATION BY GAUSSIAN SMEARING,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 10, no. 1, pp. 1–6, 2016, [Online]. Available: https://sid.ir/paper/318871/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops