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Anomalous Hydrodynamics in a One-Dimensional Electronic Fluid.

I V Protopopov1,2, R Samanta3, A D Mirlin2,4,5,6

  • 1Department of Theoretical Physics, University of Geneva, 1211 Geneva, Switzerland.

Physical Review Letters
|July 9, 2021
PubMed
Summary
This summary is machine-generated.

We developed multimode viscous hydrodynamics for one-dimensional spinless electrons, revealing anomalous scaling and Kardar-Parisi-Zhang (KPZ)-like broadening. This impacts wave propagation and thermal conductivity in quantum systems.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Quantum Hydrodynamics

Background:

  • Understanding the behavior of one-dimensional quantum systems is crucial for developing new electronic materials.
  • Previous models often simplified the complex dynamics of electron fluids.

Purpose of the Study:

  • To construct a multimode viscous hydrodynamics model for one-dimensional spinless electrons.
  • To investigate the impact of hydrodynamic modes on anomalous scaling and wave propagation.

Main Methods:

  • Developed a theoretical framework for multimode viscous hydrodynamics.
  • Analyzed the behavior of hydrodynamic modes across different length scales (short, intermediate, long).
  • Investigated mode interactions and their influence on physical observables.

Main Results:

  • Identified six, four, or three hydrodynamic modes depending on the scale.
  • Observed anomalous scaling and Kardar-Parisi-Zhang (KPZ)-like broadening in the four-mode regime.
  • Demonstrated that wave interactions lead to asymmetric power-law tails and affect thermal conductivity with unique scaling.

Conclusions:

  • The system exhibits distinct hydrodynamic behaviors at different scales, influencing its physical properties.
  • Interactions between modes drive anomalous scaling and KPZ-like broadening, impacting wave dynamics.
  • The three-mode regime aligns with classical viscous fluid universality, while the heat mode follows Levy flight distributions.