Hidden dimers and their effect on the optical and electronic transmission in Thue-Morse aperiodic structures

摘要

We show that a Thue-Morse aperiodic structure presents a unique kind of positional correlation between its constituents, leading to an unattenuated transmission of light as well as electrons through it. The reason for this is a resonant tunnelling, whose origin can be traced back to the presence of certain 'dimers' which are not explicitly displayed in the structure. It is interesting to observe that under suitable conditions, two apparently uncorrelated constituents in a Thue-Morse sequence combine together to form a dimer and the entire system can be thought of as being composed of nested dimers only. This aspect has been analysed in terms of light propagation through a Thue-Morse multilayered system and its electronic counterpart. [References: 18]