Temperature dependence of butterfly effect in a classical many-body system

Understand

We study the chaotic dynamics in a classical many-body system of interacting spins on the kagome lattice.

• We characterise many-body chaos via the butterfly effect as captured by an appropriate out-of-time-ordered correlator.
• Due to the emergence of a spin liquid phase, the chaotic dynamics extends all the way to zero temperature.
• We thus determine the full temperature dependence of two complementary aspects of the butterfly effect: the Lyapunov exponent, $\mu$, and the butterfly speed, $v_b$, and study their interrelations with usual measures of spin dynamics such as the spin-diffusion constant, $D$ and spin-autocorrelation time, $\tau$.