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Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions
Abstract
It is shown that certain analytical properties of the propagators of many-fermion systems lead rigorously to the existence of sharp discontinuities of the momentum distribution at absolute zero. This discontinuity in the momentum distribution is used to define a Fermi surface for a system of interacting fermions. It is shown that the volume of this surface in momentum space is unaffected by the interaction. The same analytic properties are shown to lead, by direct statistical mechanical arguments, to simple expressions for the low-temperature heat capacity, the spin paramagnetism, and the compressibility of the system. These expressions are very analogous to the corresponding expressions for noninteracting particles. Finally, it is shown how the whole formalism may be generalized when an external periodic potential is present (band case).
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Citations
Cited by
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MoTe2: An uncompensated semimetal with extremely large magnetoresistance
Thirupathaiah, S., Jha, R., Pal, B., Matias, J. S., Das, P. K., Sivakumar, P. K., Vobornik, I., Plumb, N. C., Shi, M., Ribeiro, R. A., et al. (2017) · Physical Review B · doi:10.1103/physrevb.95.241105 · Cited by 56
Metadata
- Authors
- Luttinger, J. M.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-08-15
- Volume
- 119
- Issue
- 4
- Pages
- 1153-1163
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2089419485
- Cited by
- 1,324
- References
- 0
- FWCI
- 5.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Luttinger, J. M. (1960). Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions. Physical Review. https://doi.org/10.1103/physrev.119.1153
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