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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Bibliographic Details
Published inFew-body systems Vol. 58; no. 2; pp. 1 - 21
Main Authors Kilcullen, Patrick, Salayka-Ladouceur, Logan, Malmgren, Kevin, Reid, Matthew, Shegelski, Mark R. A.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.03.2017
Springer Nature B.V
Subjects
Atomic
Barriers
Crank-Nicholson method
Deltas
Dielectric constant
Dielectric properties
Excitons
Few-body systems
Hadrons
Heavy Ions
Molecular
Nuclear Physics
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Simulation
Studies
Time dependence
Tunnelling
Wavefunctions
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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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-016-1196-8