Magnon heat transport in a two-dimensional Mott insulator

Wang, Wen O.; Ding, Jixun K.; Moritz, Brian; Huang, Edwin W.; Devereaux, T. P.

doi:10.1103/physrevb.105.l161103

Cited by 7 publications

(5 citation statements)

References 63 publications

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“…1C. In the infinitetemperature limit, k º 1=T 2 and s º 1=T (26,27,35,36). As T decreases from this limit, we observe a crossover at roughly T xo ∼t, separating distinct behavior in two regimes for both k and s. k decreases with doping at high temperatures, whereas it increases with doping at low temperatures.…”

Section: Thermal and Charge Conductivitymentioning

confidence: 70%

“…1C. In the infinite-temperature limit, κ∝1/T2 and σ∝1/T ( 26 , 27 , 35 , 36 ). As T decreases from this limit, we observe a crossover at roughly Txo∼t, separating distinct behavior in two regimes for both κ and σ.…”

Section: Thermal and Charge Conductivitymentioning

confidence: 99%

“…( D ) σ focused on the low-temperature regime. The high-temperature dotted lines in (A) and (C) are infinite-temperature limits calculated via a moments expansion ( 26 , 35 ). Parameters: U/t=8 and t'/t=−0.25.…”

Section: Thermal and Charge Conductivitymentioning

confidence: 99%

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The Wiedemann-Franz law in doped Mott insulators without quasiparticles

Wang,

Ding,

Schattner

et al. 2023

Science

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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 crossover 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.

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Section: Thermal and Charge Conductivitymentioning

confidence: 70%

Section: Thermal and Charge Conductivitymentioning

confidence: 99%

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The Wiedemann-Franz law in doped Mott insulators without quasiparticles

Wang,

Ding,

Schattner

et al. 2023

Science

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“…From the Hamiltonian in Eq. ( 1 ), the particle current J and the energy current J E are obtained as 37 , 38 and …”

Section: Methodsmentioning

confidence: 99%

Quantitative assessment of the universal thermopower in the Hubbard model

Wang,

Ding,

Huang

et al. 2023

Nat Commun

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As primarily an electronic observable, the room-temperature thermopower S in cuprates provides possibilities for a quantitative assessment of the Hubbard model. Using determinant quantum Monte Carlo, we demonstrate agreement between Hubbard model calculations and experimentally measured room-temperature S across multiple cuprate families, both qualitatively in terms of the doping dependence and quantitatively in terms of magnitude. We observe an upturn in S with decreasing temperatures, which possesses a slope comparable to that observed experimentally in cuprates. From our calculations, the doping at which S changes sign occurs in close proximity to a vanishing temperature dependence of the chemical potential at fixed density. Our results emphasize the importance of interaction effects in the systematic assessment of the thermopower S in cuprates.

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“…For 1d systems thermal transport was broadly studied, also due to much larger values having the origin in long mean free paths and proximity to integrable systems [25][26][27][28], but for dimension d > 1 the results are scarce. Hubbard model in 2d was very recently studied with determinant quantum Monte Carlo study of the Mott insulator [29] and with a weak coupling approach [30], but no other results exist. Even for more basic 2d Heisenberg model we are unaware of any calculation of thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Thermal conductivity and heat diffusion in the two-dimensional Hubbard model

Ulaga¹,

Mravlje²,

Prelovšek³

et al. 2022

Preprint

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We study the electronic thermal conductivity κ el and the thermal diffusion constant D Q,el in the square lattice Hubbard model using the finite-temperature Lanczos method. We exploit the Nernst-Einstein relation for thermal transport and interpret the strong non-monotonous temperature dependence of κ el in terms of that of D Q,el and the electronic specific heat c el . We present also the results for the Heisenberg model on a square lattice and ladder geometries. We study the effects of doping and consider the doped case also with the dynamical mean-field theory. We show that κ el is below the corresponding Mott-Ioffe-Regel value in almost all calculated regimes, while the mean free path is typically above lattice spacing. We discuss the opposite effect of quasi-particle renormalization on the electronic heat and charge diffusion constants. The calculated Lorenz ratio differs from the Sommerfeld value. We present results for the anisotropic marginal Fermi liquid model and discuss the results in relation to experiments on cuprates.

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Magnon heat transport in a two-dimensional Mott insulator

Cited by 7 publications

References 63 publications

The Wiedemann-Franz law in doped Mott insulators without quasiparticles

The Wiedemann-Franz law in doped Mott insulators without quasiparticles

Quantitative assessment of the universal thermopower in the Hubbard model

Thermal conductivity and heat diffusion in the two-dimensional Hubbard model

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