The Wiedemann-Franz law in doped Mott insulators without quasiparticles

Abstract

Many metallic quantum materials display anomalous transport phenomena that defy a Fermi liquid description. Here, we use numerical methods to calculate thermal and charge transport in the doped Hubbard model and observe a cross-over separating high- and low-temperature behaviors. Distinct from the behavior at high temperatures, the Lorenz number $L$ becomes weakly doping dependent and less sensitive to parameters at low temperatures. At the lowest numerically accessible temperatures, $L$ roughly approaches the Wiedemann-Franz constant $L_0$, even in a doped Mott insulator that lacks well-defined quasiparticles. Decomposing the energy current operator indicates a compensation between kinetic and potential contributions, which may help to clarify the interpretation of transport experiments beyond Boltzmann theory in strongly correlated metals.

15 pages, 4 figures. Supplementary Materials: 23 pages, 15 figures

References in corpus (14)

• Theory of universal incoherent metallic transport
• The Hubbard Model
• The Hubbard model: A computational perspective
• Planckian Dissipation in Metals
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Incoherent transport across the strange metal regime of highly overdoped cuprates
• An upper bound on transport
• The Wiedemann-Franz law in doped Mott insulators without quasiparticles
• Deviation from the Wiedemann-Franz law induced by nonmagnetic impurities in overdoped La_{2-x}Sr_{x}CuO_{4}
• Maximum entropy analytic continuation for frequency-dependent transport coefficients with non-positive spectral weight
• Magnon heat transport in a two-dimensional Mott insulator
• Thermal conductivity and heat diffusion in the two-dimensional Hubbard model
• A Criterion for Strange Metallicity in the Lorenz Ratio

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• A Criterion for Strange Metallicity in the Lorenz Ratio
• Fermionic Isometric Tensor Network States in Two Dimensions
• The Lorenz ratio as a guide to scattering contributions to Planckian transport
• Quantitative assessment of the universal thermopower in the Hubbard model
• Spatially Local Estimates of the Thermal Conductivity of Materials
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model