Superdiffusive transport on lattices with nodal impurities

Abstract

We show that 1D lattice models exhibit superdiffusive transport in the presence of random "nodal impurities" in the absence of interaction. Here a nodal impurity is defined as a localized state, the wave function of which has zeros (nodes) in momentum space. The dynamics exponent $z$, a defining quantity for transport behaviors, is computed to establish this result. To be specific, in a disordered system having only nodal impurities, the dynamical exponent $z=4n/(4n-1)$ where $n$ is the order of the node. If the system has time reversal, the nodes appear in pairs and the dynamical exponent can be enhanced to $z=8n/(8n-1)$. As $1<z<2$, both cases indicate superdiffusive transport.

References in corpus (37)

• Heat Transport in low-dimensional systems
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Operator Spreading in Random Unitary Circuits
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
• Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
• Finite-temperature transport in one-dimensional quantum lattice models
• Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Entanglement in a fermion chain under continuous monitoring
• Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
• Spin diffusion from an inhomogeneous quench in an integrable system
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Heat conduction in the disordered harmonic chain revisited
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
• Superdiffusion in spin chains
• Diffusive hydrodynamics from integrability breaking
• Superuniversality of superdiffusion
• Diffusion in deterministic interacting lattice systems
• Stability of superdiffusion in nearly integrable spin chains
• Non-integrability and the Fourier heat conduction law
• Fractality in nonequilibrium steady states of quasiperiodic systems
• The operator Lévy flight: light cones in chaotic long-range interacting systems
• Anomalous transport through algebraically localized states in one-dimension
• Superdiffusive Energy Transport in Kinetically Constrained Models
• Generic transport formula for a system driven by Markovian reservoirs
• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Transport and entanglement growth in long-range random Clifford circuits
• Exactly solvable model of quantum diffusion
• Transport in one-dimensional integrable quantum systems
• Absence of superdiffusion in certain random spin models
• Superdiffusive magnetization transport in the XX spin chain with non-local dephasing

Cited by in corpus (3)

• Measurement-induced Lévy flights of quantum information
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• Superdiffusive transport in chaotic quantum systems with nodal interactions