Hydrodynamic Cooperons in Electron Fluids: Schwinger--Keldysh Derivation and Quantum Corrections to Magnetoresistance

Fuente: arXiv
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Main Author: Cortijo, Alberto
Format: Preprint
Published: 2026
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author Cortijo, Alberto
author_facet Cortijo, Alberto
contents We develop a Schwinger--Keldysh effective theory for quantum-interference corrections in a two-dimensional electron system in the hydrodynamic regime. Starting from the clean hydrodynamic fixed point, we introduce a minimal random-friction disorder model that generates a finite momentum-relaxation time within the self-consistent Born approximation. The disorder-averaged theory then allows us to construct a hydrodynamic Cooperon and to compute the associated self-energy corrections to the collective modes. Conservation laws protect the density and momentum sectors, so that the leading quantum-coherence correction is forced into the spin-two stress sector. The associated stress self-energy renormalizes the shear viscosity and modifies both the Gurzhi response and its low-field magnetohydrodynamic signatures.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26226
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hydrodynamic Cooperons in Electron Fluids: Schwinger--Keldysh Derivation and Quantum Corrections to Magnetoresistance
Cortijo, Alberto
Strongly Correlated Electrons
We develop a Schwinger--Keldysh effective theory for quantum-interference corrections in a two-dimensional electron system in the hydrodynamic regime. Starting from the clean hydrodynamic fixed point, we introduce a minimal random-friction disorder model that generates a finite momentum-relaxation time within the self-consistent Born approximation. The disorder-averaged theory then allows us to construct a hydrodynamic Cooperon and to compute the associated self-energy corrections to the collective modes. Conservation laws protect the density and momentum sectors, so that the leading quantum-coherence correction is forced into the spin-two stress sector. The associated stress self-energy renormalizes the shear viscosity and modifies both the Gurzhi response and its low-field magnetohydrodynamic signatures.
title Hydrodynamic Cooperons in Electron Fluids: Schwinger--Keldysh Derivation and Quantum Corrections to Magnetoresistance
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2605.26226