Abstract
The Fermi liquid theory constructed by Landau efficiently describes strongly correlated fermions in terms of small number of parameters. The core of the theory is the concept of quasi-particles. This chapter explains how the Fermi liquid theory accounts for interaction effects taking examples such as specific heat and magnetic susceptibility. Also discussed is the dynamical response of Fermi liquid against slowly varying external fields.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
In the original Fermi liquid theory, the quasi-particle is defined only near the Fermi level. This is because the lifetime becomes shorter as the energy of an added or removed fermion goes off from the Fermi level. In later development, the concept was modified so as to be consistent with real value of 𝜖 pσ in Eq. (4.2) for arbitrary p, and sometimes called the “statistical” quasi-particle [4]. We have mainly followed the latter description here.
- 2.
It is known that interaction between quasi-particles gives rise to a term of the form \(T^3\ln T\), which has been observed in liquid 3He [3], but is unobservable in most metals.
References
Landau, L.D.: Soviet Phys. JETP 3, 920 (1957)
Pines, D., Nozières, P.: The Theory of Quantum Liquids: Normal Fermi Liquids. Perseus Books Group, New York, (1994)
Baym, G., Pethick, C.: Landau Fermi-Liquid Theory: Concepts and Applications. Wiley, New York (2008)
Balian, R., de Dominicis, C.: Ann. Phys. 62, 229 (1971)
Landau, L.D. Soviet Phys. JETP 8, 70 (1959)
Noziéreres, P.: Theory of Interacting Fermi Systems. CRC Press, Boca Raton (1997)
Vollhardt, D., Wölfle, P.: The Superfluid Phases of Helium 3. Dover, New York (2013)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Japan KK, part of Springer Nature
About this chapter
Cite this chapter
Kuramoto, Y. (2020). Fermi Liquid Theory. In: Quantum Many-Body Physics. Lecture Notes in Physics, vol 934. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55393-9_4
Download citation
DOI: https://doi.org/10.1007/978-4-431-55393-9_4
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55392-2
Online ISBN: 978-4-431-55393-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)