Page 160 - Principles and Applications of NanoMEMS Physics

148 Chapter 3

2 variation produced by the PBCs. This corroborates the strong role the PBC
plays in controlling the radiative lifetime of the emitters.

3.3 Summary

This chapter has dealt with the physics of waves that is of relevance to
quantum phenomena occurring in NanoMEMS. It began with typical
phenomena that manifest and exploit the wave nature of electrons, in
particular, the quantization of electrical conductance, its calculation with
Landauer’s formula, and its manifestation in quantum wires, quantum point
contacts, resonant tunneling and quantum interference (Aharonov-Bohm
effect). Then, the topic of quantum transport theory was taken up, with
particular emphasis on dealing with phenomena dominating in one-
dimensional transport, such as the Lüttinger liquid. Finally, wave behavior in
both periodic and non-periodic media was addressed, in particular, carbon
nanotubes, superconductors, photonic bandgap crystals, and cavity quantum
electrodynamics. In next chapter focuses on the application of the material
presented thus far to engineer a variety of circuits and systems that typify
elements to be found in NanoMEMS.