Non-Gaussian diffusive fluctuations in Dirac fluids

• 成果类型: Article
• 署名作者: Gopalakrishnan, Sarang; Mcculloch, Ewan; Vasseur, Romain
• 署名单位: Princeton University; University of Massachusetts System; University of Massachusetts Amherst
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-14600
• DOI: 10.1073/pnas.2403327121
• 发表日期: 2024-12-10
• 关键词: 2d electron-gas; quantum; microscopy; noise; hydrodynamics; spin; FLOW

摘要

Dirac fluids-interacting systems obeying particle-hole symmetry and Lorentz invariance-are among the simplest hydrodynamic systems; they have also been studied as effective descriptions of transport in strongly interacting Dirac semimetals. Direct experimental signatures of the Dirac fluid are elusive, as its charge transport is diffusive as in conventional metals. In this paper, we point out a striking consequence of fluctuating relativistic hydrodynamics: The full counting statistics (FCS) of charge transport is highly non-Gaussian. We predict the exact asymptotic form of the FCS, which generalizes a result previously derived for certain interacting integrable systems. A consequence is that, starting from quasi-one-dimensional nonequilibrium initial conditions, charge noise in the hydrodynamic regime is parametrically enhanced relative to that in conventional diffusive metals.