A question For experts in Solid State Physics

In one dimension, the Fermi surface can be visualized as two planes separated by a distance of 2Kf, where Kf is the Fermi wave vector. However, this is a simplified representation and further research is needed to fully understand the behavior of electrons in a solid.
  • #1
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Homework Statement


Consider an electron gas in ONE and TWO dimensions i.e N electrons in a metal wire with length L or in metal sheet with area L^2.

Pictures must be drwan of the fermi 'sphere' and the Fermi 'surface' .
Why are the two words in quotation marks ?

Homework Equations





The Attempt at a Solution


From hours of research i did on the WEB .(Im not by no means an expert in SOLID STATE PHYSICS), i managed to find only that in one Dimension the fermi surface is 2 planes separted by distance 2Kf.

Ascroft and Mermin as well as Kittel to my knowledge cannot answer this Question.
Any Experts in Solid state Physics who can Help ?
 
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  • #2
The two words are in quotation marks because Fermi surfaces and Fermi spheres are not actually surfaces or spheres; they are mathematical abstractions used to conceptualize the behavior of electrons in a solid.
 

Related to A question For experts in Solid State Physics

1. What is Solid State Physics?

Solid State Physics is the study of the physical properties of solid materials, particularly their electronic and magnetic behavior. It involves understanding the behavior of atoms and molecules in solid materials, and how they interact to give rise to the macroscopic properties of solids.

2. What are some practical applications of Solid State Physics?

Solid State Physics has many practical applications, including the development of electronic devices such as transistors, diodes, and integrated circuits. It is also important in the development of new materials for use in electronics, energy storage, and renewable energy technologies.

3. How does Solid State Physics relate to other branches of physics?

Solid State Physics is closely related to other branches of physics, such as condensed matter physics, materials science, and quantum mechanics. It also has connections to other fields such as chemistry, engineering, and nanotechnology.

4. What are some current research topics in Solid State Physics?

Some current research topics in Solid State Physics include the study of quantum materials, topological insulators, and superconductors. Other areas of interest include the development of new materials with unique properties, as well as the exploration of novel phenomena at the nanoscale.

5. How does Solid State Physics contribute to our understanding of the world?

Solid State Physics allows us to understand the fundamental physical principles that govern the behavior of solid materials. This understanding has led to the development of new technologies and materials that have greatly impacted our daily lives. Additionally, studying Solid State Physics can help us gain a deeper understanding of the natural world and the building blocks of matter.

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