Exploring 2D Fermi Surfaces and CDW Effects

In summary, CDWs occur at low dimensional solids with anisotropic Fermi surfaces that have prominent nesting vectors, which can also occur at the surfaces of solids. These surface reconstructions are special cases of CDW, but with different underlying physics. The CDW extends perpendicular to the wave vector and nesting occurs when sections of the Fermi surface are parallel to each other, creating an instability that can result in the formation of a modulated state.
  • #1
sarir_sss
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why cdw occurs at low dimensional solids with anisotropic fermi surfaces that have prominent nesting vectors?/
what it means : cdws are also common at the surface of solids??where they are more commonly called surface reconstruction or dimerization .
PLZ tell me about two dimensional Fermi surface? thanks so muchhhhhhhhhh
 
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  • #2
A surface reconstruction is the re-arrangement of the last or few last layers of atoms at the surface of a single crystal. In general this is due to the missing neighbors at the surface.

http://en.wikipedia.org/wiki/Surface_reconstruction

I guess you could view surface reconstructions as special cases of CDW (after all atoms get displaced), but I suspect that the underlying physics is quite different. Surface reconstructions tend to be commensurate.

Note that a "conventional" CDW is a bulk phenomenom, and that the CDW extends perpendicular to the propagation wave vector.

Nesting occurs when sections of the Fermi surface are parallel to each other, i.e. when there is a reciprocal space vector that can transfer an electron from one part of the Fermi surface to another over some non-zero area of the Fermi surface. This creates an instability in the electronic system that can result in the formation of a modulated state such as CDW or SDW. The modulation wave vector is the reciprocal space vector that links the two parts of the Fermi surface.
 
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1. What is a 2D Fermi surface?

A 2D Fermi surface is a representation of the energy levels of electrons in a 2-dimensional material. It shows the points in momentum space where electrons have the highest energy levels and therefore are most likely to be found.

2. How do you explore 2D Fermi surfaces?

One way to explore 2D Fermi surfaces is by using a technique called angle-resolved photoemission spectroscopy (ARPES). This involves shining a beam of light onto the material and measuring the energy and angle of the electrons that are emitted, which can then be used to map out the Fermi surface.

3. What are CDW effects?

CDW stands for charge-density wave, which is a phenomenon that occurs in certain materials where the electrons form a periodic pattern of high and low density. CDW effects on Fermi surfaces can be observed through changes in the electronic band structure and can provide insights into the behavior of electrons in the material.

4. What are some potential applications of studying 2D Fermi surfaces and CDW effects?

Understanding 2D Fermi surfaces and CDW effects can have important implications for the development of new materials with desired electronic properties. This knowledge can also be applied in fields such as electronics, energy storage, and quantum computing.

5. How do these studies contribute to our understanding of condensed matter physics?

Exploring 2D Fermi surfaces and CDW effects allows us to gain a deeper understanding of the behavior of electrons in condensed matter systems. This can help us uncover new physical phenomena and provide insights into the fundamental properties of matter at the atomic level.

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