2025/01/14 by Yu-Peng Wang, Jie Ren, Wang, Yu-Peng +5 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2501.08381
openalex publication_date 2025/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a class of interacting fermionic quantum models in d dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to long-lived quasiparticle excitations that result in a diverging diffusion constant, even though the system is fully chaotic. Using a Boltzmann equation approach, we find that the charge mode acquires an anomalous dispersion relation at long wavelength ω(q) ∼ qz with dynamical exponent z=\rm min[(2n+d)/2n,2], where n is the order of the nodal point in momentum space. We verify our predictions in one dimensional systems using tensor-network techniques.