Related Experiment Video
Updated: Jun 16, 2025
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
9.6K
Anomalous conductivity due to relativistic Landau quantization.
Gert Brodin1, Haidar Al-Naseri2
1Department of Physics, <a href="https://ror.org/05kb8h459">Umeå University</a>, SE-901 87 Umeå, Sweden.
Physical Review. E
|August 20, 2024
Summary
We studied electromagnetic waves in magnetar magnetic fields using a new kinetic model. A quantum relativistic effect causes an anomalous electron Hall current, modifying wave propagation and introducing a new resonance frequency.
Area of Science:
- Plasma physics
- Astrophysics
- Quantum electrodynamics
Background:
- Magnetars possess superstrong magnetic fields where relativistic effects are significant.
- Understanding electromagnetic wave propagation is crucial for magnetar physics.
Purpose of the Study:
- To investigate electromagnetic wave propagation in superstrong magnetic fields using a novel kinetic model.
- To calculate the conductivity tensor and analyze relativistic quantum effects.
Main Methods:
- Developed a kinetic model derived from the Dirac equation.
- Calculated the leading contribution to the conductivity tensor.
- Analyzed the electron Hall current in the quantum relativistic regime.
Main Results:
- Identified an anomalous contribution to the electron Hall current due to diamagnetic and Zeeman energy.
- Discovered a new quantum resonance frequency.
- Observed significant modifications to the dispersion relation for polarized modes at long and moderate wavelengths.
Conclusions:
- The quantum relativistic regime in magnetar fields leads to unique plasma behavior.
- The findings impact our understanding of wave propagation and phenomena in magnetars.
- This work provides a new framework for studying extreme astrophysical environments.
Related Concept Videos
01:17Theory of Metallic Conduction
1.3K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
1.3K
01:13Electrical Conductivity
1.1K
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
1.1K
01:25Boundary Conditions for Current Density
830
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
830
01:20Electric Field Inside a Conductor
5.9K
When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. The resulting charge distribution and its electric field have many interesting properties, which can be investigated with the help of Gauss's law.
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then...
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then...
5.9K
01:26Electric Field at the Surface of a Conductor
4.6K
Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its outer surface, regardless of where they originate.
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
4.6K
01:17Gauss's Law in Dielectrics
4.3K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
4.3K