# Joaquin Mazdak Luttinger

**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).

Joaquin Mazdak Luttinger | |
---|---|

Joaquin Mazdak Luttinger | |

Born | New York City, United States | 2 December 1923

Died | 6 April 1997 73) New York City, USA | (aged

Nationality | American |

Alma mater | Massachusetts Institute of Technology |

Known for | Luttinger theorems, Luttinger model, Kohn-Luttinger superconductivity |

Scientific career | |

Fields | Physics of interacting particles |

Institutions | University of Michigan, University of Pennsylvania, Columbia University |

Notable students | T. V. Ramakrishnan |

## See also

## Notes

- 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,
*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

- 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, .

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