Abstract
The mode-dependent transmission of relativistic ballistic massless Dirac fermion through a graphene based double barrier structure is being investigated for various barrier parameters. We compare our results with already published work and point out the relevance of these findings to a systematic study of the transport properties in double barrier structures. An interesting situation arises when we set the potential in the leads to zero, then our 2D problem reduces effectively to a 1D massive Dirac equation with an effective mass proportional to the quantized wave number along the transverse direction. Furthermore we have shown that the minimal conductivity and maximal Fano factor remain insensitive to the ratio between the two potentials (V 2/V 1 = α).
| Original language | English |
|---|---|
| Pages (from-to) | 40-56 |
| Number of pages | 17 |
| Journal | Journal of Low Temperature Physics |
| Volume | 168 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jul 2012 |
Bibliographical note
Funding Information:Acknowledgements The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all Authors. We also acknowledge the support of to KFUPM under project RG1108-1-2. AJ also acknowledges partial support by King Faisal University. The authors are indebted to the referee for his constructive comment.
Keywords
- Dirac equation
- Double barrier
- Graphene
- Shot noise
- Transmission
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- General Materials Science
- Condensed Matter Physics