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Nonlinear breathers with crystalline symmetries

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If you have a question about this talk, please contact Gaurav .

Nonlinear lattice models can support ``discrete breather’’ excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and exponentially localized Wannier states are a central tool in the classification of band structures with crystalline symmetries. Moreover, the quantized transport observed in nonlinear Thouless pumps relies on the fact that—at least in a specific model—discrete breathers recover Wannier states in the limit of vanishing nonlinearity. In my talk, I will explain a simple formalism to analytically predict the nonlinear breather spectrum, center of mass and symmetry representations, and apply this to nonlinear generalizations of the Su-Schrieffer-Heeger chain and the breathing kagome lattice.

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