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6 - Landau Fermi-liquid theory

Published online by Cambridge University Press:  05 December 2015

Piers Coleman
Affiliation:
Rutgers University, New Jersey
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Publisher: Cambridge University Press
Print publication year: 2015

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References

[1] D., Pines and D., Bohm, A collective description of electron interactions: II. collective vs individual particle aspects of the interactions, Phys. Rev., vol. 85, p. 338, 1952.Google Scholar
[2] L. D., Landau, The theory of a Fermi liquid, J. Exp. Theor. Phys., vol. 3, p. 920, 1957.Google Scholar
[3] A., Abrikosov and I., Khalatnikov, The theory of a Fermi liquid: the properties of liquid 3He at low temperatures, Rep. Prog. Phys., vol. 22, p. 329, 1959.Google Scholar
[4] P., Nozières and D., Pines, The Theory of Quantum Liquids, W. A., Benjamin, 1966.Google Scholar
[5] G., Baym and C., Pethick, Landau Fermi-Liquid Theory: Concepts and Applications, John Wiley & Sons, 1991.
[6] W., B.Ard, G. K., Walters, and W. M., Fairbank, Fermi–Dirac degeneracy in liquid 3He below 1K, Phys. Rev., vol. 95, p. 566, 1954.Google Scholar
[7] L. D., Landau, Oscillations in a Fermi liquid, J. Exp. Theor. Phys., vol. 5, p. 101, 1957.Google Scholar
[8] G. G., Low and T. M., Holden, Proc. Phys. Soc., London, vol. 89, p. 119, 1966.
[9] A., Casey, H., Patel, J., Nyéki, B. P., Cowah, and J., Sanuders, Evidence for a Mott–Hubbard transition in a two-dimensional 3He fluid monolayer, Phys. Rev. Lett., vol. 90, p. 115301, 2003.Google Scholar
[10] V. P., Silin, Theory of a degenerate electron liquid, J. Exp. Theor. Phys., vol. 6, p. 387, 1957.Google Scholar
[11] V. P., Silin, Theory of the anomalous skin effect in metals, J. Exp. Theor. Phys., vol. 6, p. 985, 1957.Google Scholar
[12] P., Morel and P., Nozières, Lifetime effects in condensed helium-3, Phys. Rev., vol. 126, p. 1909, 1962.Google Scholar
[13] G. D., Mahan, Many-Particle Physics, Plenum, 3rd edn., 2000.
[14] H., Tsujii, H., Kontani, and K., Yoshimora, Universality in heavy fermion systems with general degeneracy, Phys. Rev. Lett., vol. 94, p. 057201, 2005.Google Scholar
[15] M., Rice, Electron–electron scattering in transition metals, Phys. Rev. Lett., vol. 20, no. 25, p. 1439, 1968.Google Scholar
[16] K., Kadowaki and S. B., Woods, Universal relationship of the resistivity and specific heat in heavy- fermion compounds, Solid State Commun., vol. 58, p. 507, 1986.Google Scholar
[17] L. D., Landau, On the theory of the Fermi liquid, J. Exp. Theor. Phys., vol. 8, p. 70, 1959.Google Scholar
[18] V. M., Galitskii, The energy spectrum of a non-ideal Fermi gas, J. Exp. Theor. Phys., vol. 7, p. 104, 1958.Google Scholar
[19] P., Nozières and J., Luttinger, Derivation of the Landau theory of Fermi liquids. I: formal preliminaries, Phys. Rev., vol. 127, p. 1423, 1962.Google Scholar
[20] J. M., Luttinger and P., Nozières, Derivation of the Landau theory of Fermi liquids. II: equilibrium properties and transport equation, Phys. Rev., vol. 127, p. 1431, 1962.Google Scholar
[21] F. D. M, Haldane, General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: application to the anisotropic s = 1/2 Heisenberg chain, Phys. Rev. Lett., vol. 45, no. 16, p. 1358, 1980.Google Scholar
[22] G., Benfatto and G., Gallavotti, Renormalization-group approach to the theory of the Fermi surface, Phys. Rev. B, vol. 42, no. 16, p. 9967, 1990.Google Scholar
[23] R., Shankar, Renormalization-group approach to interacting fermions, Rev. Mod. Phys., vol. 66, no. 1, p. 129, 1994.Google Scholar

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  • Landau Fermi-liquid theory
  • Piers Coleman, Rutgers University, New Jersey
  • Book: Introduction to Many-Body Physics
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139020916.008
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  • Landau Fermi-liquid theory
  • Piers Coleman, Rutgers University, New Jersey
  • Book: Introduction to Many-Body Physics
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139020916.008
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Landau Fermi-liquid theory
  • Piers Coleman, Rutgers University, New Jersey
  • Book: Introduction to Many-Body Physics
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781139020916.008
Available formats
×