Interaction-induced transition in the quantum chaotic dynamics of a disordered metal

Understand

We demonstrate that a weakly disordered metal with short-range interactions exhibits a transition in the quantum chaotic dynamics when changing the temperature or the interaction strength.

• For weak interactions, the system displays exponential growth of the out-of-time-ordered correlator (OTOC) of the current operator.
• The Lyapunov exponent of this growth is temperature-independent in the limit of vanishing interaction.
• With increasing the temperature or the interaction strength, the system undergoes a transition to a non-chaotic behaviour, for which the exponential growth of the OTOC is absent.