Kardar-Parisi-Zhang Scaling for an Integrable Lattice Landau-Lifshitz Spin Chain

Understand

Recent studies report on anomalous spin transport for the integrable Heisenberg spin chain at its isotropic point.

• Anomalous scaling is also observed in the time-evolution of non-equilibrium initial conditions, the decay of current-current correlations, and non-equilibrium steady state averages.
• These studies indicate a space-time scaling with $x \sim t^{2/3}$ behavior at the isotropic point, in sharp contrast to the ballistic form $x \sim t$ generically expected for integrable systems.
• In our contribution we study the scaling behavior for the integrable lattice Landau-Lifshitz spin chain.