Comment on ``Periodic wave functions and number of extended states in random dimer systems'
M. Hilke (Princeton University), J.C. Flores (Universidad de, Tarapaca), and F. Dominguez-Adame (Universidad Complutense)

TL;DR
This paper discusses the nature of wave functions in random dimer models, highlighting the absence of true periodic wave functions but the presence of periodic envelopes near critical energies influenced by non-disordered system properties.
Contribution
It clarifies the distinction between actual periodic wave functions and envelope functions in RDMs, emphasizing the role of non-disordered properties near critical energies.
Findings
No true periodic wave functions in RDMs.
Existence of periodic envelopes near critical energies.
Envelopes determined by non-disordered system properties.
Abstract
There are no periodic wave-functions in the RDM but close to the critical energies there exist periodic envelopes. These envelopes are given by the non-disordered properties of the system.
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