Explaining electrical resistivity behaviour from phonon perspective

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Discussion Overview

The discussion centers around the relationship between phonons and electrical resistivity in crystalline and non-crystalline metals, particularly focusing on the behavior of electrical resistivity with temperature changes. Participants explore the contrasting phenomena observed in crystalline metals versus non-crystalline metals, specifically metallic glasses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that electrical resistivity in crystalline metals increases with temperature due to phonon scattering of electrons.
  • Another participant suggests that defects in non-crystalline metals may decrease with temperature, potentially influencing resistivity, but questions the assumption that increasing temperature alone would heal defects.
  • A different viewpoint challenges the applicability of phonon scattering to explain the resistivity behavior in non-crystalline metals, recommending exploration of percolation theories instead.
  • A participant requests more information about the specific materials being studied, indicating that various factors related to electronic structure could affect resistivity's temperature dependence.
  • A participant describes their material as an amorphous metal (metallic glass) with specific composition and properties, highlighting its glassy characteristics and advantages over common metals.

Areas of Agreement / Disagreement

Participants express differing views on the role of phonons and defects in explaining resistivity behavior, indicating that multiple competing perspectives remain without consensus on the underlying mechanisms.

Contextual Notes

The discussion highlights the complexity of transport phenomena in disordered systems and the limitations of applying traditional theories based on periodic lattices to non-crystalline materials.

y4ku24
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Hello everyone.

This question may sound naive, but since I am relatively new to the subject, I would like to ask for some clarification related to phonon and electrical resistivity.

As most of you might be aware of, electrical resistivity of crystalline metals increases due to increase in temperature. I am currently working with some non-crystalline metals, and the data show a high electrical resistivity at RT, and a linear decrease due to increase in temperature.

Since both are conductors, could this two contrary phenomenon be explained from a phonon perspective?

Thank you in advance.
 
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From my (3rd year undergraduate) understanding phonons increase the resistivity for metals because they scatter electrons. Have you considered defects? They are known to decrease as temperature is increased and I would expect that a noncrystaline metal would have plenty of them, it would depend upon the temperature ranges that you are dealing with.
 
To transcience: Hm,seems like a considerable explanation. Will look up about it. Thank you.
 
Why are defects decreasing as T is increasing?

Just increasing T doesn't heal anything, for annealing to remove defects, the lattice should be heated and slowly cooled.

y4ku24 - I don't think your data can be so easily explained by phonon scattering. Maybe you want to check percolation theories to see what's going on.

Transport in disordered systems (like non-crystalline metals) is very different than the idealized transport theory where the lattice is perfectly periodic, etc...
 
Hi, y4ku24, would you say a little more about the materials you are measuring ? Because, several factors may affect temperature dependence of resistivity, depending on the electronic structure of the material.
 
TO hiyok: My material is an amorphous metal, with composition of Zr55Ni5Al10Cu30. It is known as metallic glass, and has some advantages compared to common metals such as high strength and high corrosion resistance, provided that it stays as an amorphous metal.
The materials looks like a common alloy, but in the atomic scale it has glassy characteristics such as the existence of glass transition temperature.

Hope that helps.
 

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