Hall coefficient's finite temperature experiments in metals

In summary, The book "Transport Properties of Metals" by M.J. Phillips is the best reference for Hall coefficient vs. temperature, containing plots for both conventional and disordered metals, as well as a discussion of the temperature dependence of the Hall angle and its cotangent.
  • #1
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There are lots of measurements showing strong temperature ($T$) dependence of Hall coefficient ($R_H$) in correlated materials (eg. cuprate superconductors and other oxide materials) and such plots are available in many recent experimental papers. However, I could not find any $R_H$ vs $T$ plot for a conventional metal more or less devoid of disorder/impurity effects.

Is there any such paper or textbook available? Also is there any reference that shows how Hall angle or its cotangent behaves with temperature in a conventional Fermi liquid metal?
 
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  • #2
The best reference for Hall coefficient vs. temperature is the book by M.J. Phillips, "Transport Properties of Metals". The book contains a number of plots of Hall coefficient versus temperature for various metals, including both conventional and disordered metals. Additionally, the book also provides a detailed discussion of the temperature dependence of the Hall angle and its cotangent for different types of metals.
 

1. What is the Hall coefficient and what does it measure?

The Hall coefficient is a measure of the strength and direction of the magnetic field in a material. It is defined as the ratio of the induced electric field to the applied magnetic field, and it provides information about the charge carriers and their motion in a material.

2. How is the Hall coefficient experiment performed?

In a typical Hall coefficient experiment, a metal sample is placed in a magnetic field and a current is passed through it. The voltage perpendicular to both the magnetic field and the current is measured, and the Hall coefficient is calculated using the measured values.

3. What are the factors that affect the Hall coefficient in metals?

The Hall coefficient in metals is affected by several factors, including the density and mobility of charge carriers, the strength of the magnetic field, and the temperature of the material. Additionally, impurities and defects in the material can also influence the Hall coefficient.

4. How does the Hall coefficient change with temperature?

In most metals, the Hall coefficient decreases with increasing temperature. This is due to the increase in thermal energy, which disrupts the regular motion of charge carriers and reduces their mobility. However, in some materials such as semiconductors, the Hall coefficient may increase with temperature.

5. What is the significance of finite temperature experiments in determining the Hall coefficient?

Finite temperature experiments are important because they provide a more accurate representation of the Hall coefficient in real-world conditions. At finite temperatures, the thermal energy affects the motion of charge carriers, and this can have a significant impact on the measured Hall coefficient. Therefore, considering the temperature dependence of the Hall coefficient is crucial for a complete understanding of the material's properties.

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