Related papers: Superdiffusive transport in chaotic quantum systems with nodal interactions

Superdiffusive transport in chaotic quantum systems with nodal interactions

URL: http://arxiv.org/abs/2501.08381v2
Date: Fri, 07 Feb 2025 02:48:52 GMT
Title: Superdiffusive transport in chaotic quantum systems with nodal interactions
Authors: Yu-Peng Wang, Jie Ren, Sarang Gopalakrishnan, Romain Vasseur,
Abstract summary: 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.
Score: 1.7934794154114089
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Abstract: 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 $\omega(q) \sim q^{z} $ 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.

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