Superballistic paradox in electron fluids: Evidence of tomographic transport

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Hauptverfasser: Estrada-Álvarez, Jorge, Díaz, Elena, Domínguez-Adame, Francisco
Format: Preprint
Veröffentlicht: 2025
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author Estrada-Álvarez, Jorge
Díaz, Elena
Domínguez-Adame, Francisco
author_facet Estrada-Álvarez, Jorge
Díaz, Elena
Domínguez-Adame, Francisco
contents Electron hydrodynamics encompasses the exotic fluid-like behavior of electrons in two-dimensional materials such as graphene. It accounts for superballistic conduction, also known as the Gurzhi effect, where increasing temperature reduces the electrical resistance. In analogy with conventional fluids, the Gurzhi effect is only expected in the hydrodynamic regime, with the decrease in the resistance occurring at intermediate temperatures. Nonetheless, experiments on electron fluids consistently show that superballistic conduction starts at close-to-zero temperatures. To address this paradox, we study hydrodynamic flow, and we find that replacing the classical dynamics with tomographic dynamics, where only head-on collisions are allowed between electrons, solves the dilemma. The latter strengthens superballistic conduction, with potential applications in low-dissipation devices, and explains its differences with the Molenkamp effect and conventional fluids dynamics. Our study reveals that the superballistic paradox is resolved by considering the electrons not as classical particles but as fermions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10265
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Superballistic paradox in electron fluids: Evidence of tomographic transport
Estrada-Álvarez, Jorge
Díaz, Elena
Domínguez-Adame, Francisco
Mesoscale and Nanoscale Physics
Quantum Gases
Statistical Mechanics
Electron hydrodynamics encompasses the exotic fluid-like behavior of electrons in two-dimensional materials such as graphene. It accounts for superballistic conduction, also known as the Gurzhi effect, where increasing temperature reduces the electrical resistance. In analogy with conventional fluids, the Gurzhi effect is only expected in the hydrodynamic regime, with the decrease in the resistance occurring at intermediate temperatures. Nonetheless, experiments on electron fluids consistently show that superballistic conduction starts at close-to-zero temperatures. To address this paradox, we study hydrodynamic flow, and we find that replacing the classical dynamics with tomographic dynamics, where only head-on collisions are allowed between electrons, solves the dilemma. The latter strengthens superballistic conduction, with potential applications in low-dissipation devices, and explains its differences with the Molenkamp effect and conventional fluids dynamics. Our study reveals that the superballistic paradox is resolved by considering the electrons not as classical particles but as fermions.
title Superballistic paradox in electron fluids: Evidence of tomographic transport
topic Mesoscale and Nanoscale Physics
Quantum Gases
Statistical Mechanics
url https://arxiv.org/abs/2502.10265