This is a page containing supporting movies for the paper: "Nonlinear conduction via solitons in a topological mechanical insulator", by Bryan Gin-ge Chen, Nitin Upadhyaya, and Vincenzo Vitelli at the Instituut-Lorentz for Theoretical Physics at Leiden University.
Movie link | Screenshots | Description |
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(S1) Bulk Rigidity, Exponentially Localized Mode | This movie shows a model of the chain of rotors which is rigid in the bulk due to the acoustic modes being gapped, and with an exponentially localized zero mode at the end. These illustrate predictions of the linear theory. | |
(S2) Conductor | This movie shows how the exponentially localized mode integrates into a moving domain wall in the model chain. | |
(S3) Flipper | This movie shows a simulation (Newtonian dynamics) of the full cycle of a (non-wobbling) flipper soliton in a chain of 17 rotors. The geometrical parameters of the chain are a = 1, r = 0.5 and \bar\theta = 0.97. The other model parameters were k_e = 1000, M = 1, and v_0 = 0.08. The green arrows on each rotor are proportional to the angular velocity, and the red and blue arrows underneath depict the x-projections of the rotors, showing the domain wall nature of the soliton. | |
(S4) Wobbling flipper | This movie shows a simulation of the full cycle of a wobbling flipper soliton in a chain of 17 rotors. The geometrical parameters of the chain are a = 1, r = 1.1 and \bar\theta = 1.18. The other model parameters were k_e = 1000, M = 1, and v_0 = 0.04. The green arrows on each rotor are proportional to the angular velocity, and the red and blue arrows underneath depict the x-projections of the rotors, showing the domain wall nature of the soliton. | |
(S5) Spinner | This movie shows a simulation of the full cycle of a spinner soliton in a chain of 17 rotors. The geometrical parameters of the chain are a = 1, r = 2 and \bar\theta = 1.18. The other model parameters were k_e = 1000, M = 1, and v_0 = 0.04. The green arrows on each rotor are proportional to the angular velocity, and the red and blue arrows underneath depict the x-projections of the rotors, showing the domain wall nature of the soliton. We offset the x-projections of the odd and even-numbered sites to emphasize that the angles of odd rotors and even rotors converge separately to smooth functions differing by a constant. | |
(S6) Flipper unit cell configuration space | This movie shows a unit cell of a chain in the (non-wobbling) flipper phase and its allowed motion in the configuration space spanned by the two rotor angles. The geometrical parameters of the chain are a = 1, r = 0.25 and \bar\theta = 0.79. | |
(S7) Wobbling flipper unit cell configuration space | This movie shows a unit cell of a chain in the wobbling flipper phase and its allowed motion in the configuration space spanned by the two rotor angles. The geometrical parameters of the chain are a = 1, r = 1.1 and \bar\theta = 1.18. | |
(S8) Spinner unit cell configuration space | This movie shows a unit cell of a chain in the (non-wobbling) flipper phase and its allowed motion in the configuration space spanned by the two rotor angles. The geometrical parameters of the chain are a = 1, r = 2 and \bar\theta = 1.18. | |
(S9) Spinner Realization | This movie shows a model of the chain of rotors made out of LEGO in the spinner phase. |