Harmonic vibrational excitations in graded elastic networks: transition from phonons to gradons

Details Harmonic vibrational excitations in graded elastic networks: transition from phonons to gradons Harmonic vibrational excitations in graded elastic networks: transition from phonons to gradons

2005-12-07

arxiv.org/abs/cond-mat/0512149v1

Phys. Rev. B 73, 054201 (2006)

Physics

Condensed Matter

Materials Science

LaTeX format, 7 eps figures, submitted for publications

Scientific paper

10.1103/PhysRevB.73.054201 10.11

We have identified a new type of transition from extended to localized vibrational states in one-dimensional graded elastic chains of coupled harmonic oscillators, in which the vibrating masses or nearest-coupling force constants vary linearly along the chain. We found that the delocalization transition occurs at the maximum frequency of the corresponding homogeneous chain, which is in a continuous single band. Although each state in the localized phase, called gradon, can be regarded as an impurity localized mode, the localization profile is clearly distinct from usual impurity modes or the Anderson localized modes. We also argue how gradons may affect the macroscopic properties of graded systems. Our results can provide insights into many analogous systems with graded characters.

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