Effective mass of a charge carrier

In summary, the effective mass of a charge carrier is a measure of its response to an external force in a crystal lattice and is determined experimentally using different techniques. It is affected by factors such as crystal structure, temperature, and external fields, and is important in understanding electronic properties and predicting behavior in materials. It can also be negative in some materials, known as a negative effective mass.
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What is the effective mass of a charge carrier, numerically? Is it equivalent to the mass of an electron? Is it the same for negative charge carriers as it is for positive charge carriers?
 
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For Bloch electrons? The effective mass is inversely proportional to the curvature of the [tex]\epsilon[/tex] vs k graph for the band that the carrier is in.
 

What is the effective mass of a charge carrier?

The effective mass of a charge carrier is a concept used in solid state physics to describe the behavior of an electron or hole in a crystal lattice. It is a measure of the particle's response to an external force and is different from its actual mass.

How is the effective mass of a charge carrier determined?

The effective mass of a charge carrier is determined experimentally using various techniques such as cyclotron resonance, Hall effect, and optical spectroscopy. The results are then compared to theoretical calculations.

What factors affect the effective mass of a charge carrier?

The effective mass of a charge carrier is influenced by the crystal structure, temperature, and external magnetic and electric fields. It can also be affected by the presence of impurities or defects in the crystal lattice.

Why is the effective mass of a charge carrier important?

The effective mass of a charge carrier plays a crucial role in understanding the electronic properties of materials, such as conductivity and mobility. It also helps in predicting the behavior of electrons and holes in different materials, which is important for designing electronic devices.

Can the effective mass of a charge carrier be negative?

Yes, the effective mass of a charge carrier can be negative. This means that the particle behaves as if it has a negative mass when subjected to an external force. This phenomenon is observed in certain materials, such as semiconductors, and is known as a negative effective mass.

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