Joaquin Mazdak Luttinger

Joaquin Mazdak Luttinger
Joaquin Mazdak Luttinger
Born	2 December 1923 New York City, United States
Died	6 April 1997 (aged 73) New York City, USA
Nationality	American
Fields	Physics of interacting particles
Institutions	University of Michigan, University of Pennsylvania, Columbia University
Alma mater	Massachusetts Institute of Technology
Notable students	T. V. Ramakrishnan
Known for	Luttinger theorems, Luttinger model, Kohn-Luttinger superconductivity

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. His brother was the physical chemist Lionel Luttinger (1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).

See also

• Luttinger liquid
• Fermi liquid
• Luttinger's theorem
• Many-body problem
• Anomalous Hall effect
• Anomalous magnetic moment
• Effective mass theory
• k·p perturbation theory
• Luttinger parameter
• Luttinger–Ward functional

Notes

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)).

Some publications

(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, Journal of Mathematical Physics, Vol. 4, 1154 (1963).
• 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

• 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).

External links

• Photograph of J.M. Luttinger: .
• Robert Nelson, Leading Physicist Joaquin Luttinger, 73, April 18, 1997, Columbia University, New York, .