Fibonacci invariant and electronic properties of GaAs/Ga1−xAl

Electric field effects in Fibonacci superlattices

“…Theoretical studies demonstrate that ideal aperiodic SLs should exhibit a highly-fragmented and fractal-like electronic spectrum [4,[9][10][11]. This self-similar spectrum is observable even when unintentional imperfections arising during the growth process are considered [12].…”

Comparative study of the sagittal elastic waves in metallic and semiconductor multilayer systems between periodic and Fibonacci superlattices

“…We shall consider that the A and B blocks are formed by two slabs of different materials, with different thicknesses in each case, as in the experimental realizations [5][6][7][8][9][10].…”

“…Interesting properties of these systems have been deduced [2][3][4] mainly by theoretical studies based on simple one-dimension (1D) models. Some quasiregular structures have been obtained by means of molecular beam epitaxy (MBE) 0039 [5][6][7][8][9][10]. The theory for all the mathematical and formal properties of quasiregular systems usually discussed holds for infinitely large systems [2][3][4], and this never happens in real experiments or calculations.…”

Electronic structure of Fibonacci Si δ-doped GaAs

“…From the very beginning, most researchers have considered the Fibonacci sequence as a typical example of a quasiperiodic system [3,4], and several characteristic properties of Fibonacci systems have been reported during the last decade. Thus, it is now well established that Fibonacci lattices exhibit highly fragmented electron and phonon spectra with a hierarchy of splitting subbands displaying self-similar patterns [5], and their corresponding electronic density of states shows spiky features [6]. This exotic electronic spectrum strongly influences electron propagation [7,8] and dc conductance through the system, even at finite temperature [9].…”