Diffusive charge transport in the gapped 1D Hubbard model at all finite temperatures

Abstract

Studies relying on hydrodynamic theory and Kardar-Parisi-Zhang (KPZ) scaling have found that in the one-dimensional Hubbard model spin and charge transport are for all temperatures T > 0 anomalous superdiffusive at zero magnetic field, h = 0, and zero chemical potential, μ = 0, respectively. However, this contradicts recent exact results that at very low temperature charge transport rather is normal diffusive. In this Letter we identify the mechanisms that control the different types of temperature dependence of the h = 0 spin and μ = 0 charge transport and find that the latter is normal diffusive for all finite temperatures T > 0, in contrast to the hydrodynamic theory and KPZ scaling predictions.

arXiv comment6 pages, 2 figures plus Supplementary Material

References in corpus (23)

• Hydrodynamic Diffusion in Integrable Systems
• Spin diffusion from an inhomogeneous quench in an integrable system
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Super-diffusion in one-dimensional quantum lattice models
• Ballistic spin transport in a periodically driven integrable quantum system
• The Quantum Inverse Scattering Method for Hubbard-like Models
• Superuniversality of superdiffusion
• Superdiffusion from emergent classical solitons in quantum spin chains
• Stability of superdiffusion in nearly integrable spin chains
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Absence of Normal Fluctuations in an Integrable Magnet
• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Emergent hydrodynamics in non-equilibrium quantum systems
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Temperature dependence of charge transport in the half-filled 1D Hubbard model
• Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
• Tunable surface electron gas and effect of phonons in Sr${}_2$CuO${}_3$: A first-principles study

Cited by in corpus (2)

• Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry