  Investigating the behavior of noninteracting fermions subjected to local
dephasing, we reveal that quasi-particle dephasing can induce superdiffusive
transport. This superdiffusion arises from nodal points within the momentum
distribution of local dephasing quasi-particles, leading to asymptotic
long-lived modes. By studying the dynamics of the Wigner function, we
rigorously elucidate how the dynamics of these enduring modes give rise to
L\'evy walk processes, a renowned mechanism underlying superdiffusion
phenomena. Our research demonstrates the controllability of dynamical scaling
exponents by selecting quasi-particles and extends its applicability to higher
dimensions, underlining the pervasive nature of superdiffusion in dephasing
models.
