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Discrete breathers are time-periodic, spatially localized solutions ofequations of motion for classical degrees of freedom interacting on a lattice.They come in one-parameter families. We report on studies of energy propertiesof breather families in one-, two- and three-dimensional lattices. We show thatbreather energies have a positive lower bound if the lattice dimension of agiven nonlinear lattice is greater than or equal to a certain critical value.These findings could be important for the experimental detection of discretebreathers.Comment: 10 pages, LaTeX, 4 figures (ps), Physical Review Letters, in prin

Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices