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Stokes flow around an obstacle in viscous two-dimensional electron liquid.
G M Gusev1, A S Jaroshevich2, A D Levin3
1Instituto de Física da Universidade de São Paulo, 135960-170, São Paulo, SP, Brazil. gusev@if.usp.br.
Scientific Reports
|May 14, 2020
Summary
This study explores electronic fluid dynamics in narrow channels, observing a unique temperature-dependent resistivity (Gurzhi effect) with obstacles. Results confirm theoretical predictions for ballistic and hydrodynamic transport regimes.
Area of Science:
- Condensed matter physics
- Mesoscopic physics
- Quantum transport
Background:
- The Gurzhi effect describes resistivity decreasing with temperature in hydrodynamic electron transport, analogous to Poiseuille flow.
- Disordered channel edges and obstacles influence electron scattering and transport behavior.
Purpose of the Study:
- To experimentally investigate the electronic analog of Stokes flow around a circular obstacle in a 2D viscous liquid.
- To examine the impact of obstacles on Poiseuille flow and the Gurzhi effect.
- To observe transport signatures of ballistic and hydrodynamic regimes.
Main Methods:
- Experimental study of electron transport in a narrow channel with a circular obstacle.
- Tuning temperature to probe different transport regimes (ballistic and hydrodynamic).
- Measurement of resistivity changes due to the obstacle and temperature variations.
Main Results:
- A circular obstacle introduces an additive contribution to resistivity.
- The Gurzhi effect (resistivity decreasing with temperature) is observed even with a circular obstacle.
- Distinct transport signatures of ballistic and hydrodynamic regimes were identified at the scale of the obstacle.
Conclusions:
- Experimental findings align with theoretical predictions for electronic fluid dynamics.
- The presence of obstacles does not preclude the observation of the Gurzhi effect under specific conditions.
- Temperature-dependent transport regimes can be experimentally controlled and observed.
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