Localization properties of a multi-stranded phononic ladder with FK type modulation

Article Type

Research Article

Publication Title

Physics Letters, Section A: General, Atomic and Solid State Physics


We report for the first time the co-existence of both sliding and pinned phononic eigenstates, and thus, mobility edge (ME) in a phononic ladder in presence of Frenkel-Kontorova (FK) type aperiodic potential. For a strictly one-dimensional system, a transition from a fully sliding to the absolutely pinned phase occurs beyond a critical FK modulation strength, without having any mixture between the sliding and pinned states. On the other hand, a mixture of these states appears when at least two such 1D chains are coupled with each other beyond the usual minimal nearest-neighbor coupling. A mathematical description is given for finding the critical points of any multi-stranded ladder. Solving the motion equations we compute phonon eigenfrequencies and eigenstates, and estimate the localization behavior by studying average inverse participation ratio. Our analysis can be utilized to get switching action and selective phonon transfer in different kinds of such aperiodic phononic systems.



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