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Viscous electronics is an emerging field dealing with systems in which strongly interacting electrons behave as a fluid. Electron viscous flows are governed by a nonlocal current-field relation which renders the spatial patterns of current…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Gregory Falkovich , Leonid Levitov

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

We propose a protocol to identify spatial hallmarks of viscous electron flow in graphene and other two-dimensional viscous electron fluids. We predict that the profile of the magnetic field generated by hydrodynamic electron currents…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Karina A. Guerrero-Becerra , Francesco M. D. Pellegrino , Marco Polini

Graphene has generated a lot of research interest due to its special properties, which include a hydrodynamic regime. It is not yet clear however which boundary condition such a hydrodynamic current flow satisfies. The aim of this paper is…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Glenn Wagner

In this paper we dwell over the study of the boundary layer problem in a hydrodynamical description of the electrons in gated graphene. It has been verified experimentally that this fluid can display non-Poiseuille like flow as reproduced…

Mesoscale and Nanoscale Physics · Physics 2021-06-28 Pedro Cosme , João S. Santos , Hugo Terças

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

This review covers recent experimental progress in probing the electronic properties of graphene and how they are influenced by various substrates, by the presence of a magnetic field and by the proximity to a superconductor. The focus is…

Mesoscale and Nanoscale Physics · Physics 2012-04-23 Eva Y. Andrei , Guohong Li , Xu Du

We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Jack N. Engdahl , Aydın Cem Keser , Thomas Schmidt , Oleg P. Sushkov

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Bouchaib Lemaalem , Abdelhadi Belouad , Miloud Mekkaoui , Ahmed Jellal

Elastic deformations of graphene can significantly change the flow paths and valley polarization of the electric currents. We investigate these phenomena in graphene nanoribbons with localized out-of-plane deformations by means of…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Thomas Stegmann , Nikodem Szpak

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

The peculiar nature of electron scattering in graphene is among many exciting theoretical predictions for the physical properties of this material. To investigate electron scattering properties in a graphene plane, we have created a…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 B. Huard , J. A. Sulpizio , N. Stander , K. Todd , B. Yang , D. Goldhaber-Gordon

In sufficiently clean materials where electron-electron interactions are strong compared to momentum-relaxing scattering processes, electron transport resembles the flow of a viscous fluid. We study hydrodynamic electron transport across…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Ramal Afrose , Aydin Cem Keser , Oleg Sushkov , Shaffique Adam

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

The unique optical properties of graphene, with broadband absorption and ultrafast response, make it a critical component of optoelectronic and spintronic devices. Using time-resolved momentum microscopy with high data rate and high dynamic…

Electron-electron interactions in graphene are sufficiently strong to induce a correlated and momentum-conserving flow such that charge carriers behave similarly to the Hagen-Poiseuille flow of a classical fluid. In the current work, we…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 Wenhao Huang , Tathagata Paul , Kenji Watanabe , Takashi Taniguchi , Mickael L. Perrin , Michel Calame

Hydrodynamic electrons in high-mobility graphene devices have demonstrated great potential in establishing an electronic analogue of relativistic quantum fluid in solid-state systems. One of the key requirements for observing viscous…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Richa P. Madhogaria , Aniket Majumdar , Nishant Dahma , Pritam Pal , Rishabh Hangal , Kenji Watanabe , Takashi Taniguchi , Arindam Ghosh

We investigate the impact of geometric constriction on the viscous flow of electron liquid through quantum point contacts. We provide analysis on the electric potential distribution given the setup of a slit configuration and use the method…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Songci Li , Maxim Khodas , Alex Levchenko

Because of its fascinating electronic properties, graphene is expected to produce breakthroughs in many areas of nanoelectronics. For spintronics, its key advantage is the expected long spin lifetime, combined with its large electron…

We introduce a model for amorphous grain boundaries in graphene, and find that stable structures can exist along the boundary that are responsible for local density of states enhancements both at zero and finite (~0.5 eV) energies. Such…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Andrej Mesaros , Stefanos Papanikolaou , C. F. J. Flipse , Darius Sadri , Jan Zaanen
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