Discussion Overview
The discussion revolves around the electrical conductivity of solids, specifically focusing on the movement of holes within a band under the influence of an external uniform electric field. Participants explore concepts related to current density, group velocity, and crystal momentum, as well as the relationship between real space and k-space in this context.
Discussion Character
- Exploratory
- Technical explanation
- Conceptual clarification
- Debate/contested
Main Points Raised
- One participant seeks clarification on how holes move within a band when subjected to an external electric field, expressing confusion about current density and related concepts.
- Another participant emphasizes the need to reconcile the uniformity of the electric field in real space with its representation in k-space, questioning the utility of Fourier transforms in this scenario.
- A different participant notes that holes in the valence band behave similarly to electrons in the conduction band, highlighting differences in effective mass tensor and charge, suggesting that knowledge of electron transport can be applied to hole transport.
Areas of Agreement / Disagreement
Participants express differing views on the relationship between real space and k-space regarding the uniform electric field, indicating that the discussion remains unresolved with multiple competing perspectives on the topic.
Contextual Notes
There are limitations in the discussion regarding the assumptions made about the uniformity of the electric field and its implications in both real and k-space, as well as the definitions of key terms that may not be fully agreed upon.