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Non-Gaussian diffusive fluctuations in Dirac fluids.

Sarang Gopalakrishnan1, Ewan McCulloch1,2, Romain Vasseur2

  • 1Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544.

Proceedings of the National Academy of Sciences of the United States of America
|December 4, 2024
PubMed
Summary
This summary is machine-generated.

Dirac fluids exhibit highly non-Gaussian charge transport statistics due to fluctuating relativistic hydrodynamics. This leads to parametrically enhanced charge noise in hydrodynamic systems compared to conventional metals.

Keywords:
Dirac fluidsanomalous transportfluctuating hydrodynamicsfull counting statisticsnonequilibrium physics

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Area of Science:

  • Condensed matter physics
  • Hydrodynamics
  • Quantum field theory

Background:

  • Dirac fluids are simple hydrodynamic systems with particle-hole symmetry and Lorentz invariance.
  • They serve as effective models for transport in Dirac semimetals.
  • Experimental signatures of Dirac fluids are difficult to detect due to diffusive charge transport.

Purpose of the Study:

  • To investigate the consequences of fluctuating relativistic hydrodynamics in Dirac fluids.
  • To identify unique, experimentally accessible signatures of Dirac fluid behavior.
  • To generalize existing theoretical results on full counting statistics.

Main Methods:

  • Analysis of fluctuating relativistic hydrodynamics.
  • Derivation of the full counting statistics (FCS) for charge transport.
  • Generalization of known results for interacting integrable systems.

Main Results:

  • The full counting statistics (FCS) of charge transport in Dirac fluids is highly non-Gaussian.
  • The exact asymptotic form of the FCS is predicted.
  • Charge noise is parametrically enhanced under specific nonequilibrium conditions.

Conclusions:

  • Fluctuating hydrodynamics provides a unique signature for Dirac fluids.
  • The non-Gaussian FCS and enhanced charge noise are key experimental probes.
  • This work generalizes theoretical understanding of transport in relativistic systems.