This title appears in the Scientific Report :
2016
Please use the identifier:
http://dx.doi.org/10.1016/j.physe.2015.11.033 in citations.
Density of quantum states in quasi-1D layers
Density of quantum states in quasi-1D layers
Recently, new quantum effects have been studied in thin nanograting layers. Nanograting on the surface imposes additional boundary conditions on the electron wave function and reduces the density of states (DOS). When the nanograting dimensions are close to the de Broglie wavelength, the DOS reducti...
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Personal Name(s): | Kakulia, D. |
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Tavkhelidze, A. (Corresponding author) / Gogoberidze, V. / Mebonia, M. | |
Contributing Institute: |
Streumethoden; JCNS-2 Halbleiter-Nanoelektronik; PGI-9 JARA-FIT; JARA-FIT Streumethoden; PGI-4 |
Published in: | Physica / E, 78 (2016) S. 49 - 55 |
Imprint: |
Amsterdam [u.a.]
North-Holland, Elsevier Science
2016
|
DOI: |
10.1016/j.physe.2015.11.033 |
Document Type: |
Journal Article |
Research Program: |
Jülich Centre for Neutron Research (JCNS) Materials and Processes for Energy and Transport Technologies Quantum Condensed Matter: Magnetism, Superconductivity Controlling Collective States Controlling Collective States |
Publikationsportal JuSER |
Recently, new quantum effects have been studied in thin nanograting layers. Nanograting on the surface imposes additional boundary conditions on the electron wave function and reduces the density of states (DOS). When the nanograting dimensions are close to the de Broglie wavelength, the DOS reduction is considerable and leads to changes in the layer properties. DOS calculations are challenging to perform and are related to the quantum billiard problem. Performing such calculations requires finding the solutions for the time-independent Schrödinger equation with Dirichlet boundary conditions. Here, we use a numerical method, namely the Method of Auxiliary Sources, which offers significant computational cost reduction relative to other numerical methods. We found the first five eigenfunctions for the nanograting layer and compared them with the corresponding eigenfunctions for a plain layer by calculating the correlation coefficients. Furthermore, the numerical data were used to analyze the DOS reduction. The nanograting is shown to reduce the probability of occupation of a particular quantum state, reducing the integrated DOS by as much as 4.1-fold. This reduction in the DOS leads to considerable changes in the electronic properties. |