Electron-hole gas density in different materials

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Discussion Overview

The discussion revolves around the behavior of electron-hole gas density in different materials, particularly focusing on the transfer of charge carriers between materials with differing Fermi levels and the implications for conductivity. The scope includes theoretical considerations and conceptual clarifications regarding charge carriers in metals.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant proposes that when connecting two metals with different Fermi levels, electrons will flow from the metal with a higher Fermi level to the one with a lower Fermi level until charge equilibrium is reached.
  • The same participant questions whether holes would also transfer between two materials with equal conductivity for both electrons and holes, seeking clarification on the mechanism of such transfer.
  • Another participant asks how a hole is defined in a metal, indicating a need for conceptual clarity on this topic.
  • A subsequent post raises the question of whether a positive Hall coefficient can exist in metals, suggesting a potential connection to the concept of holes.
  • One participant confirms that a positive Hall coefficient does exist in metals like aluminum but emphasizes that this does not necessarily imply the presence of holes as charge carriers.
  • The same participant seeks further clarification on what charge carriers are present if not holes, indicating a desire for deeper understanding.

Areas of Agreement / Disagreement

Participants express differing views on the nature of charge carriers in metals and the behavior of holes, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are limitations in the definitions and assumptions regarding charge carriers, particularly in the context of metals, which remain unresolved in the discussion.

Stanley514
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If we connect a two metals with different Fermi levels electrons will start to flow from metal with higher Fermi level to a lower one. until metal with lower Fermi level will get negatively charged and the process will stop.
But what if we connect a two materials with different Fermi levels, but equal conductivity of both electrons and
holes? Will holes start to get transferred between these materials too, and if yes, how exactly?
 
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How do you define a hole in a metal?
 
I do not know, but does positive Hall coefficient in metals exists?
 
It does, for example in aluminium. But this does not mean that the charge carriers are holes.
 
DrDu said:
It does, for example in aluminium. But this does not mean that the charge carriers are holes.
What then?
 

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