Metals and semiconductors at high bias

[elionix]

Hello,

Is there a well known theory on how metals and semiconductors should behave, electrically, while under a high voltage bias? Say, 2-3V? For example, how does the conductivity change as a function of voltage bias as we go from the low bias regime into high bias? Is there a linear dependence or is it described by a power law?

Thank you!

 

[marcusl]

Your question is unclear. Are you talking about devices? Which ones? What does it mean to have a "metal under bias"?

 

[elionix]

Not devices, just a metal connected by source drain electrodes, for example.

Take a 1um diameter copper wire and sweep the potential from 0V to 3V. Will the current have a linear dependence on voltage? What about a semiconductor?

For example, theory wise, the dependence of current on temperature can be described by the Bloch Gruneisen relationship, but I was hoping for more insight on current dependence on voltage.

 

[elionix]

does my question make sense?

 

[marcusl]

Yes, but I'm not familiar enough with Bloch Gruniesen relations, etc. to answer it. I'm hoping someone else will chime in.