nLab Landau's Fermi liquid theory

Idea

In solid state physics, Landau’s Fermi liquid theory is perturbative theory of metals regarded as seas of fermions.

The model is highly successful, given its simplistic assumptions, for ordinary metals, but fails for materials with non-perturbative topological order thus known as strange metals. (For the latter no general theory exists yet, holographic duality looks like a promising approach).

Related concepts

• fermion

• Pauli exclusion principle, degeneracy pressure

• Pauli exclusion principle

• Landau theory of phase transitions

• quantum Hall effect

References

Named after Lev Landau (following Enrico Fermi).

Introduction and survey:

• Andrea Amoretti, Chapter 2 of: Condensed Matter Applications of AdS/CFT: Focusing on strange metals, 2017 (spire:1610363, pdf)

  (with an eye towards strange metals and AdS/CFT in condensed matter physics)

• Erkki Thuneberg, Introduction to Landau’s Fermi Liquid Theory 2009, (pdf)

See also

• Wikipedia, Fermi liquid theory

Streamlined effective field theory for Fermi liquids using the coadjoint orbit method:

• Umang Mehta: Postmodern Fermi Liquids, Springer Theses, Springer (2024) [arXiv:2307.02536, doi;10.1007/978-3-031-72403-9]