Quantum dots are 0D. 2D quantum structures are called quantum wells.
Yes, the principles are the same. But you will have to quantize from three dimensions instead of just one.
Dear Amit,
The fractional dimensional space approach (FDSA) involves the mapping of the anisotropic quasi-particles in the real space into an isotropic environment parameterized by the dimensionality term. This approach can be appreciated by the fact that the dimensionality is independent of the physical mechanisms which give rise to confinement effects associated with specific geometrical structures. Hence you can unify zero and two dimensional quantum systems using the FDSA. The following references may be useful:
1) X.-F. He, Phys. Rev. B 43, 2063 (1991).
2) H. Mathieu, P. Lefebvre, and P. Christol, Phys. Rev. B 46, 4092 (1992).
3) P. Christol, P. Lefebvre, and H. Mathieu, J. Appl. Phys. 74, 5626 (1993).
4) F. H. Stillinger, J. Math. Phys. 18, 1224 (1977).
5) A. Thilagam, Journal of Applied Physics 116, 053523 (2014) or http://arxiv.org/abs/1407.0902
yes it is possible. for example for quantum disk, if the lateral size is greater than the thickness, we can consider the system is 2D. But if if the lateral size have the same order of length of the thickness, here we consider the system is 0D (Quantum Dot) (see the attached figure )
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Condensed Matter Physics
- Solid State Physics