Abstract
The electron transmission probability in nanodevices is calculated by solving an eigenvalue problem. The eigenvalues are the transmission probabilities and the number of nonzero eigenvalues is equal to the number of open quantum transmission eigenchannels. The number of open eigenchannels is typically a few dozen at most, thus the computational cost amounts to the calculation of a few outer eigenvalues of a complex Hermitian matrix (the transmission matrix). The method is implemented on a real space grid basis providing an alternative to localized atomic orbital based quantum transport calculations. Numerical examples are presented to illustrate the efficiency of the method.
| Original language | English |
|---|---|
| Article number | 465306 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 22 |
| Issue number | 46 |
| DOIs | |
| Publication status | Published - Nov 24 2010 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Materials Science(all)
Cite this
Calculation of transmission probability by solving an eigenvalue problem. / Bubin, Sergiy; Varga, Kálmán.
In: Journal of Physics Condensed Matter, Vol. 22, No. 46, 465306, 24.11.2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Calculation of transmission probability by solving an eigenvalue problem
AU - Bubin, Sergiy
AU - Varga, Kálmán
PY - 2010/11/24
Y1 - 2010/11/24
N2 - The electron transmission probability in nanodevices is calculated by solving an eigenvalue problem. The eigenvalues are the transmission probabilities and the number of nonzero eigenvalues is equal to the number of open quantum transmission eigenchannels. The number of open eigenchannels is typically a few dozen at most, thus the computational cost amounts to the calculation of a few outer eigenvalues of a complex Hermitian matrix (the transmission matrix). The method is implemented on a real space grid basis providing an alternative to localized atomic orbital based quantum transport calculations. Numerical examples are presented to illustrate the efficiency of the method.
AB - The electron transmission probability in nanodevices is calculated by solving an eigenvalue problem. The eigenvalues are the transmission probabilities and the number of nonzero eigenvalues is equal to the number of open quantum transmission eigenchannels. The number of open eigenchannels is typically a few dozen at most, thus the computational cost amounts to the calculation of a few outer eigenvalues of a complex Hermitian matrix (the transmission matrix). The method is implemented on a real space grid basis providing an alternative to localized atomic orbital based quantum transport calculations. Numerical examples are presented to illustrate the efficiency of the method.
UR - http://www.scopus.com/inward/record.url?scp=78149424869&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78149424869&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/22/46/465306
DO - 10.1088/0953-8984/22/46/465306
M3 - Article
VL - 22
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 46
M1 - 465306
ER -