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Joaquin Mazdak Luttinger

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Joaquin (Quin) Mazdak Luttinger (December 2, 1923 – April 6, 1997) was an American physicist well known for his contributions to the theory of interacting electrons in one-dimensional metals[1] (the electrons in these metals are said to be in a Luttinger-liquid state) and the Fermi-liquid theory. He received his BS and PhD in physics from MIT in 1947.[2] His brother was the physical chemist Lionel Luttinger (1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).

Joaquin Mazdak Luttinger
Joaquin Mazdak Luttinger
Born(1923-12-02)2 December 1923
New York City, United States
Died6 April 1997(1997-04-06) (aged 73)
New York City, US
Alma materMassachusetts Institute of Technology
Known forLuttinger liquid
Luttinger's theorem
Luttinger parameter
Luttinger–Kohn model
Luttinger–Ward functional
Anomalous Hall effect
Kohn–Luttinger superconductivity
AwardsGuggenheim Fellowship (1974)
Scientific career
FieldsPhysics of interacting particles
InstitutionsUniversity of Michigan, University of Pennsylvania, Columbia University
Notable studentsT. V. Ramakrishnan

See also

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Notes

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  1. ^ The Luttinger model was introduced by Luttinger in 1963 (J. Math. Phys., Vol. 4, 1154 (1963)). Luttinger's solution of this model was however incorrect. The correct solution was later provided by D. C. Mattis and E. H. Lieb (J. Math. Phys., Vol. 6, 304 (1965)). The error by Luttinger consists of solving the problem without imposing an appropriate cut-off on sums over momenta, whereby he erroneously mapped the interacting problem onto a non-interacting one. The Luttinger model is akin, but not identical, to an earlier model introduced by Sin-Itiro Tomonaga (Progress of Theoretical Physics, Vol. 5, No. 4, pp. 544-569 (1950)).
  2. ^ "Massachusetts Institute of Technology. Department of Physics". history.aip.org. Retrieved 2020-01-04.

Some publications

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(Note: For a complete list, see J. Stat. Phys. 103, 641 (2001).)

  • W. Kohn, and J. M. Luttinger, Quantum Theory of Electrical Transport Phenomena, Physical Review, Vol. 108, pp. 590–611 (1957). APS
  • W. Kohn, and J. M. Luttinger, Quantum Theory of Electrical Transport Phenomena. II, Physical Review, Vol. 109, pp. 1892–1909 (1958). APS
  • J. M. Luttinger, Theory of the Hall Effect in Ferromagnetic Substances, Physical Review, Vol. 112, pp. 739–751 (1958). APS
  • W. Kohn, and J. M. Luttinger, Ground-State Energy of a Many-Fermion System, Physical Review, Vol. 118, pp. 41–45 (1960). APS
  • J. M. Luttinger, and J. C. Ward, Ground-State Energy of a Many-Fermion System. II, Physical Review, Vol. 118, pp. 1417–1427 (1960). APS
  • J. M. Luttinger, Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions, Physical Review, Vol. 119, pp. 1153–1163 (1960). APS
  • J. M. Luttinger, Analytic Properties of Single-Particle Propagators for Many-Fermion Systems, Physical Review, Vol. 121, pp. 942–949 (1961). APS
  • J. M. Luttinger, Theory of the de Hass-van Alphen Effect for a System of Interacting Fermions, Physical Review, Vol. 121, pp. 1251–1258 (1961). APS
  • J. M. Luttinger, Derivation of the Landau Theory of Fermi Liquids. I. Formal Properties, Physical Review, Vol. 127, pp. 1423–1431 (1962). APS
  • J. M. Luttinger, Derivation of the Landau Theory of Fermi Liquids. II. Equilibrium Properties and Transport Equation, Physical Review, Vol. 127, pp. 1431–1440 (1962). APS
  • J. M. Luttinger, An exactly solvable model of a many-fermion system, Journal of Mathematical Physics, Vol. 4, No. 9, pp. 1154–1162 (1963). doi:10.1063/1.1704046
  • W. Kohn, and J. M. Luttinger, New Mechanism for Superconductivity, Physical Review Letters, Vol. 15, No. 12, pp. 524–526 (1965). APS
  • R. Friedberg, and J. M. Luttinger, Density of electronic energy levels in disordered systems, Physical Review B, Vol. 12, pp. 4460–4474 (1975). APS
  • J. M. Luttinger, Density of electronic energy levels in disordered systems. II, Physical Review B, Vol. 13, pp. 2596–2600 (1976). APS
  • R. Tao, and J. M. Luttinger, Exact evaluation of Green's functions for a class of one-dimensional disordered systems, Physical Review B, Vol. 27, pp. 935–944 (1983). APS

Obituary

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  • Philip W. Anderson, Richard M. Friedberg, and Walter Kohn, Joaquin M. Luttinger, Physics Today, December 1997, pp. 89–90 (PDF).
    Note: This obituary is reprinted with permission in Journal of Statistical Physics, Vol. 103, Nos. 3/4, pp. 413–415 (2001) (Link).
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