Band structure and fermi liquid

[tirrel]

Hi everyone!

I wanted to ask if in your opinion is it right to say that band structure calculations (and hartree fock calculations) could live in a framework of the fermi liquid theory where quasiparticles are one-electron states (which could be or not could be the case)...

 

[Undisciplined]

Hi tirrel,

As the Hartree-Fock method is a method for the determination of the ground-state wave function and ground-state energy of a quantum many-body system, basically it is suitable for calculating the ground-state wave-function of a Fermi-liquid.

Take a look at this article: http://www.physics.utoronto.ca/~qocmp/PRB34515.pdf" . They show a Hartree-Fock-BCS method for the electron-liquid.

 

[charng]

I cannot provide a definitive answer to this question as it ultimately depends on the specific system and conditions being studied. However, I can provide some general information and considerations regarding band structure and Fermi liquid theory.

Band structure calculations are used to understand the electronic properties of solids, such as their energy levels and electronic band gaps. These calculations are based on the principles of quantum mechanics and assume that electrons in a solid can be described as independent particles moving in a periodic potential created by the crystal lattice. This approach has been successful in explaining many properties of solids, but it does have limitations, such as not taking into account electron-electron interactions.

Fermi liquid theory, on the other hand, is a theoretical framework used to describe the behavior of interacting electrons in a metal. It is based on the concept of quasiparticles, which are collective excitations of the electrons and their interactions with the surrounding environment. This theory has been successful in explaining various properties of metals, such as their electrical and thermal conductivities.

In terms of whether band structure calculations can be considered within the framework of Fermi liquid theory, it is important to note that both approaches have different assumptions and focus on different aspects of the electronic behavior in solids. Band structure calculations are based on the independent electron approximation, while Fermi liquid theory takes into account electron-electron interactions. Therefore, in some cases, it may be appropriate to incorporate aspects of Fermi liquid theory into band structure calculations, but it is not always necessary or applicable.

Additionally, the concept of quasiparticles in Fermi liquid theory refers to collective excitations of the electrons, rather than individual one-electron states. So, it may not be accurate to say that quasiparticles are one-electron states in the context of Fermi liquid theory.

In conclusion, band structure calculations and Fermi liquid theory are both valuable tools for understanding the electronic properties of solids, but they have different assumptions and focus on different aspects of electronic behavior. It is important to consider the specific system and conditions being studied before determining whether it is appropriate to incorporate aspects of Fermi liquid theory into band structure calculations.