Linking Spatial Distributions of Potential and Current in Viscous Electronics.

Area of Science:

• Condensed matter physics
• Quantum electronics
• Mesoscopic physics

Background:

• Viscous electronics describes electron systems behaving as a fluid.
• Electron viscous flows show nonlocal current-field relations, leading to dissimilar spatial patterns.
• Phenomena like negative resistance and vortices arise from viscous friction and electron interactions.

Purpose of the Study:

• To address the challenge of inferring electron flow patterns from potential distributions in viscous electronic systems.
• To develop a method for extracting current flow information from measured potentials, particularly under magnetic fields.
• To leverage complex analysis for understanding nonlocal transport phenomena.

Main Methods:

• Utilizing the inherent relationship between current and potential patterns through complex analysis.
• Applying a novel method to analyze potential distributions measured in the presence of a magnetic field.
• Investigating the nonlocal current-field relations characteristic of viscous electron fluids.

Main Results:

• Demonstrated a method to accurately extract electron current flows from potential distributions.
• Showcased the ability to identify complex flow patterns, including those against the electric field.
• Validated the technique's effectiveness in the presence of magnetic fields.

Conclusions:

• The proposed complex analysis method provides a powerful tool for visualizing and understanding electron fluid dynamics.
• This work advances the study of nonlocal transport phenomena in viscous electronic systems.
• The findings open new avenues for designing and controlling electronic devices based on viscous electron behavior.