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Title: Low-frequency discrete breathers in long-range systems without on-site potential
Authors: Yamaguchi, Yoshiyuki Y.
Doi, Yusuke
Author's alias: 山口, 義幸
土井, 祐介
Issue Date: 25-Jun-2018
Publisher: American Physical Society (APS)
Journal title: Physical Review E
Volume: 97
Issue: 6
Thesis number: 062218
Abstract: A mechanism of long-range couplings is proposed to realize low-frequency discrete breathers without on-site potentials. The realization of such discrete breathers requires a gap below the band of linear eigenfrequencies. Under the periodic boundary condition of a one-dimensional lattice and the limit of large population, we show theoretically that the long-range couplings universally open the gap below the band irrespective of the coupling functions, while the short-range couplings cannot. The existence of the low-frequency discrete breathers, spatial localization, and stability are numerically analyzed from long range to short range.
Rights: ©2018 American Physical Society
DOI(Published Version): 10.1103/PhysRevE.97.062218
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