Negative Resistance in Resonant Tunneling

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SUMMARY

The discussion centers on the concept of negative resistance in Resonant Tunneling Diodes (RTDs). Participants clarify that negative resistance occurs when an increase in current results in a decrease in voltage, which is represented by the differential resistance (R=dV/dI) being negative while static resistance (R=V/I) remains positive. This phenomenon leads to an increase in amplitude over time without violating energy conservation, as the energy input must originate from an external source. The interpretation of the falling part of the I vs V graph indicates that electrons are accelerating within the diode.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with Resonant Tunneling Diodes (RTDs)
  • Knowledge of static and differential resistance concepts
  • Basic grasp of I vs V graph analysis
NEXT STEPS
  • Research the mathematical modeling of Resonant Tunneling Diodes
  • Explore the implications of negative resistance in electronic circuits
  • Study the relationship between electron acceleration and voltage changes in RTDs
  • Learn about energy conservation principles in quantum mechanics
USEFUL FOR

Students of quantum mechanics, electrical engineers, and researchers interested in the behavior of Resonant Tunneling Diodes and their applications in electronic devices.

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Hi,

I am a student who's learning about quantum mechanics. I was reading about the RTD (Resonant tunneling diode) and I got the general idea. However, I was looking at a I vs V graph and came up with a question. Since Resistance = V/I, the inverse slope of the I vs V graph has to be the resistance. (for a simple model of RTD, it had a giant peak). Now, the problem is, for the rising part of the peak, I understand, but what is the physical interpretation of the falling part of the peak? (the negative resistance) Does that simply mean the flow of the electron is greater?

Thanks!
 
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Negative Resistance simply applies in a situation where an increased current causes a decreased voltage. Remember there is STATIC resistance, where R=V/I and there is a very similar Differential resistance, which is R=dV/dI, and if you look at your graphs, while dV/dI is clearly negative,V/I remains positive, as both values are positive.

Negative resistance causes and increasing amplitude over time, however, it doesn't violate energy conservation, because we can't get this amplification to go on forever, and the energy that goes into it must obviously some from something. I believe it does mean that the electrons in the current are speeding up.
 

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