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Finite-temperature transport in gapless and gapped 1D integrable quantum systems.

Jose M P Carmelo1

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Generalized hydrodynamics (GHD) explains anomalous superdiffusion in 1D models. Disagreements on 1D Hubbard model charge transport at zero chemical potential stem from symmetry treatments, impacting understanding of superdiffusion.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Generalized hydrodynamics (GHD) has advanced understanding of finite-temperature transport in 1D integrable models.
  • Anomalous superdiffusive transport mechanisms have been explained by GHD in various systems.
  • Discrepancies exist regarding finite-temperature charge transport in the 1D Hubbard model at zero chemical potential.

Purpose of the Study:

  • To resolve disagreements on finite-temperature charge transport in the 1D Hubbard model at zero chemical potential.
  • To clarify the role of global symmetry treatments in GHD predictions.
  • To deepen the understanding of anomalous superdiffusion in 1D integrable systems.

Main Methods:

  • Review of GHD and other methods for predicting spin transport in gapless 1D integrable models.
  • Analysis of T > 0 transport results in gapped 1D integrable models, focusing on the 1D Hubbard model and XXZ chain.
  • Identification and discussion of the origins of discrepancies in transport predictions.

Main Results:

  • Controversy identified regarding whether charge transport is anomalous superdiffusive or normal diffusive.
  • Disagreements linked to differing treatments of the model's global symmetry (SU(2)xSU(2) vs. [SU(2)xSU(2)xU(1)]/Z_2^2).
  • Resolution of discrepancies offers deeper insights into anomalous superdiffusion.

Conclusions:

  • The treatment of global symmetry is crucial for accurate predictions of charge transport in the 1D Hubbard model.
  • Understanding these symmetry aspects is key to resolving debates on anomalous superdiffusion.
  • This work contributes to a more unified understanding of transport phenomena in 1D integrable systems.