Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Scales and complexity
- 2 Quantum fields
- 3 Conserved particles
- 4 Simple examples of second quantization
- 5 Green's functions
- 6 Landau Fermi-liquid theory
- 7 Zero-temperature Feynman diagrams
- 8 Finite-temperature many-body physics
- 9 Fluctuation–dissipation theorem and linear response theory
- 10 Electron transport theory
- 11 Phase transitions and broken symmetry
- 12 Path integrals
- 13 Path integrals and itinerant magnetism
- 14 Superconductivity and BCS theory
- 15 Retardation and anisotropic pairing
- 16 Local moments and the Kondo effect
- 17 Heavy electrons
- 18 Mixed valence, fluctuations, and topology
- Epilogue: the challenge of the future
- Author Index
- Subject Index
- References
13 - Path integrals and itinerant magnetism
Published online by Cambridge University Press: 05 December 2015
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Scales and complexity
- 2 Quantum fields
- 3 Conserved particles
- 4 Simple examples of second quantization
- 5 Green's functions
- 6 Landau Fermi-liquid theory
- 7 Zero-temperature Feynman diagrams
- 8 Finite-temperature many-body physics
- 9 Fluctuation–dissipation theorem and linear response theory
- 10 Electron transport theory
- 11 Phase transitions and broken symmetry
- 12 Path integrals
- 13 Path integrals and itinerant magnetism
- 14 Superconductivity and BCS theory
- 15 Retardation and anisotropic pairing
- 16 Local moments and the Kondo effect
- 17 Heavy electrons
- 18 Mixed valence, fluctuations, and topology
- Epilogue: the challenge of the future
- Author Index
- Subject Index
- References
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- Introduction to Many-Body Physics , pp. 464 - 485Publisher: Cambridge University PressPrint publication year: 2015
References
[1] , Quantum Mechanics: The Key to Understanding Magnetism (Nobel Lecture, December 8, 1977), World Scientific, 1992.
[2] , , and , The development of the quantum mechanical electron theory of metals: 1928–1933, Rev. Mod. Phys., vol. 59, no. 1, p. 287, 1987.Google Scholar
[3] , La variation du ferromagnetisme du temperature, Comptes Rendus, vol. 143, p. 1136, 1906.Google Scholar
[4] , La constante du champ moléculaire: equation d'état magnétique et calorimétrie, J. Phys. Radium, vol. 1, p. 163, 1930.Google Scholar
[5] , Early work 1905–1911. vol. 1 of Neils Bohr collected work, ed. and , 1972.
[6] , Problèmes de la théorie électronique du magnetisme, J. Phys. Radium, vol. 2, p. 361, 1921.Google Scholar
[7] , The theory of electric and magnetic susceptibilities., Clarendon Press, 1932.
[9] , Free electrons and ferromagnetism, Proc. Leeds Phil. Lit. Soc., vol. 2, p. 50, 1930.Google Scholar
[11] and , A mechanism of magnetic hysteresis in heterogeneous alloys, Philos. Trans. R. Soc. A, vol. 240, p. 599, 1948.Google Scholar
[12] , Spin density waves in an electron gas, Phys. Rev., vol. 128, no. 3, p. 1437, 1962.Google Scholar
[13] , Electron correlation and ferromagnetism of transition metals, Prog. Theor. Phys., vol. 30, no. 3, p. 275, 1963. The Hubbard model, with the modern notation “U” for the interaction, was independently introduced by Kanamori in equation (1) of this paper.Google Scholar
[14] , Electron correlations in narrow energy bands, Proc. R. Soc. A, vol. 276, p. 238, 1963.Google Scholar
[15] and , Low-temperature properties of nearly ferromagnetic Fermi liquids, Phys. Rev. Lett., vol. 17, no. 14, p. 750, 1966.Google Scholar
[16] and , Effect of ferromagnetic spin correlations on superconductivity, Phys. Rev. Lett., vol. 17, no. 8, p. 433, 1966.Google Scholar
[17] , Quantum effects in the renormalization group approach to phase transitions, J. Phys. C: Solid State Phys.), vol. 8, p. L309, 1975.Google Scholar
[19] , Effect of a nonzero temperature on quantum critical points in itinerant fermion systems, Phys. Rev. B, vol. 48, p. 7183, 1993.Google Scholar
[20] and , The de Haas-van Alphen effect, exchange splitting and Curie temperature in the weak itinerant ferromagnetic Ni3Al, J. Phys. F: Met. Phys., vol. 14, p. 2141, 1984.Google Scholar
[21] and , Effect of spin fluctuations on the magnetic equation of state of ferromagnetic or nearly ferromagnetic metals, J. Phys. C: Solid State, vol. 18, p. 4339, 1985.Google Scholar
[22] , , and , Theory of itinerant ferromagnets exhibiting localized-moment behavior above the Curie point, Phys. Rev. Lett., vol. 23, p. 92, 1969.Google Scholar