One Dimensional Time-Dependent Tunnelling of Excitons
We study the time-dependent tunnelling of excitons in one dimension using numerical integration based on the Crank–Nicholson method. A complete development of the time-dependent simulator is provided. External barriers studied include single and double delta barriers. We find that the appearance of...
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Published in | Few-body systems Vol. 58; no. 2; pp. 1 - 21 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Vienna
Springer Vienna
01.03.2017
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | We study the time-dependent tunnelling of excitons in one dimension using numerical integration based on the Crank–Nicholson method. A complete development of the time-dependent simulator is provided. External barriers studied include single and double delta barriers. We find that the appearance of transmission resonances depends strongly on the dielectric constant, relative effective masses, and initial spatial spread of the wavefunction. A discussion regarding applications to realistic systems is provided. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0177-7963 1432-5411 |
DOI: | 10.1007/s00601-016-1196-8 |