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Updated: May 24, 2026

Ultrasound Velocity Measurement in a Liquid Metal Electrode

Ultrasound Velocity Measurement in a Liquid Metal Electrode

Published on: August 5, 2015

Hall viscosity and electromagnetic response.

Carlos Hoyos¹, Dam Thanh Son

¹Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.

Physical Review Letters

|March 10, 2012

Summary

Hall viscosity influences electromagnetic responses in quantum Hall states at finite wave numbers. This viscosity contributes to the Hall conductivity

Area of Science:

Condensed matter physics
Quantum Hall effect

Background:

The quantum Hall effect describes the behavior of electrons in a 2D system under strong magnetic fields.
Electromagnetic responses are crucial for understanding electronic properties.

Purpose of the Study:

To investigate the role of Hall viscosity in the electromagnetic response of Galilean invariant quantum Hall states.
To analyze the contribution of Hall viscosity to Hall conductivity at finite wave numbers.

Main Methods:

Theoretical analysis of electromagnetic response.
Examination of Hall conductivity at small, finite wave numbers (q).

Main Results:

Hall viscosity emerges in the electromagnetic response at finite wave numbers (q).

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Hall viscosity directly contributes to the leading q dependence of Hall conductivity at small q.

The coefficient of the q(2) term in Hall conductivity is universal under strong magnetic fields.

Conclusions:

Hall viscosity is a key factor in the electromagnetic response of quantum Hall states.
The findings provide insights into the fundamental properties of quantum Hall systems.
Universality in the Hall conductivity coefficient highlights important theoretical aspects.