We propose a new mechanism of long-range coupling to excite low-frequency
discrete breathers without the on-site potential. This mechanism is universal
in long-range systems irrespective of the spatial boundary conditions, of
topology of the inner degree of freedom, and of precise forms of the coupling
functions. The limit of large population is theoretically discussed for the
periodic boundary condition. Existence of discrete breathers is numerically
demonstrated with stability analysis.Comment: 5 pages, 4 figure

Doi, Yusuke

Yamaguchi, Yoshiyuki Y.

English

arXiv

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

Low-frequency discrete breathers in long-range systems without on-site potential

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