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Joaquin Mazdak Luttinger

{{Short description|American physicist (1923-1997)}}

{{Infobox scientist

|name=Joaquin Mazdak Luttinger

|image = Joaquin Mazdak Luttinger.jpg

|image_size = 160px

|caption= Joaquin Mazdak Luttinger |birth_date={{Birth date|1923|12|2|df=yes}}

|birth_place= New York City, United States

|death_date = {{death date and age|df=yes|1997|4|6|1923|6|19}}

|death_place = New York City, US

|alma_mater= Massachusetts Institute of Technology

|work_institutions=University of Michigan, University of Pennsylvania, Columbia University

|field= Physics of interacting particles

|known_for= Luttinger liquid
Luttinger's theorem
Luttinger parameter
Luttinger–Kohn model
Luttinger–Ward functional
Anomalous Hall effect
Kohn–Luttinger superconductivity

|prizes= Guggenheim Fellowship (1974)

|footnotes=

|notable_students = T. V. Ramakrishnan

}}

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 metalsThe 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)). (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.{{Cite web|url=https://history.aip.org/phn/21511001.html|title=Massachusetts Institute of Technology. Department of Physics|website=history.aip.org|access-date=2020-01-04}} His brother was the physical chemist Lionel Luttinger (1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).

See also

Notes

{{Reflist}}

Some publications

(Note: For a complete list, see [https://dx.doi.org/10.1023/A:1017372818875 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). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.108.590 APS]
  • W. Kohn, and J. M. Luttinger, Quantum Theory of Electrical Transport Phenomena. II, Physical Review, Vol. 109, pp. 1892–1909 (1958). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.109.1892 APS]
  • J. M. Luttinger, Theory of the Hall Effect in Ferromagnetic Substances, Physical Review, Vol. 112, pp. 739–751 (1958). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.112.739 APS]
  • W. Kohn, and J. M. Luttinger, Ground-State Energy of a Many-Fermion System, Physical Review, Vol. 118, pp. 41–45 (1960). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.118.41 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). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.118.1417 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). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.119.1153 APS]
  • J. M. Luttinger, Analytic Properties of Single-Particle Propagators for Many-Fermion Systems, Physical Review, Vol. 121, pp. 942–949 (1961). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.121.942 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). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.121.1251 APS]
  • J. M. Luttinger, Derivation of the Landau Theory of Fermi Liquids. I. Formal Properties, Physical Review, Vol. 127, pp. 1423–1431 (1962). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.127.1423 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). [https://journals.aps.org/pr/abstract/10.1103/PhysRev.127.1431 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). [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.15.524 APS]
  • R. Friedberg, and J. M. Luttinger, Density of electronic energy levels in disordered systems, Physical Review B, Vol. 12, pp. 4460–4474 (1975). [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.12.4460 APS]
  • J. M. Luttinger, Density of electronic energy levels in disordered systems. II, Physical Review B, Vol. 13, pp. 2596–2600 (1976). [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.13.2596 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). [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.27.935 APS]

Obituary

  • Philip W. Anderson, Richard M. Friedberg, and Walter Kohn, Joaquin M. Luttinger, Physics Today, December 1997, pp. 89–90 ([http://physicstoday.scitation.org/doi/abs/10.1063/1.2806754 PDF]).
    Note: This obituary is reprinted with permission in Journal of Statistical Physics, Vol. 103, Nos. 3/4, pp. 413–415 (2001) ([https://dx.doi.org/10.1023/A:1017320711606 Link]).

External links

  • Photograph of J.M. Luttinger: [http://www.columbia.edu/cu/record/archives/vol22/vol22_iss21/record2221.27c.gif].
  • Robert Nelson, Leading Physicist Joaquin Luttinger, 73, April 18, 1997, Columbia University, New York, [http://www.columbia.edu/cu/record/archives/vol22/vol22_iss21/record2221.32.html].
  • [http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/luttinger-joaquin.pdf Walter Kohn, "Joaquin M. Luttinger", Biographical Memoirs of the National Academy of Sciences (2014)]
  • Clary, David C., [https://doi.org/10.1142/13806 Walter Kohn: From Kindertransport and Internment to DFT and the Nobel Prize], World Scientific Publishing (2024).


{{Authority control}}

{{DEFAULTSORT:Luttinger, Joaquin Mazdak}}

Category:1923 births

Category:1997 deaths

Category:Massachusetts Institute of Technology School of Science alumni

Category:American theoretical physicists

Category:University of Michigan faculty

Category:Fellows of the American Physical Society

Category:Scientists from New York City