Joaquin Mazdak Luttinger


Joaquin Mazdak Luttinger

Joaquin (Quin) Mazdak Luttinger [Consult Mazdak.] (December 2, 1923, New York — April 6, 1997, New York) was an American physicist well-known for his contributions to the theory of interacting electrons in one-dimensional metals [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)).] (the electrons in these metals are said to be in a Luttinger-liquid state) and the Fermi-liquid theory.

Notes

ome publications

(Note: For a complete list, see [http://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). [http://prola.aps.org/abstract/PR/v108/i3/p590_1 APS]
* W. Kohn, and J. M. Luttinger, "Quantum Theory of Electrical Transport Phenomena. II", Physical Review, Vol. 109, pp. 1892-1909 (1958). [http://prola.aps.org/abstract/PR/v109/i6/p1892_1 APS]
* J. M. Luttinger, "Theory of the Hall Effect in Ferromagnetic Substances", Physical Review, Vol. 112, pp. 739-751 (1958). [http://prola.aps.org/abstract/PR/v112/i3/p739_1 APS]
* W. Kohn, and J. M. Luttinger, "Ground-State Energy of a Many-Fermion System", Physical Review, Vol. 118, pp. 41-45 (1960). [http://prola.aps.org/abstract/PR/v118/i1/p41_1 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). [http://prola.aps.org/abstract/PR/v118/i5/p1417_1 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). [http://prola.aps.org/abstract/PR/v119/i4/p1153_1 APS]
* J. M. Luttinger, "Analytic Properties of Single-Particle Propagators for Many-Fermion Systems", Physical Review, Vol. 121, pp. 942-949 (1961). [http://prola.aps.org/abstract/PR/v121/i4/p942_1 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). [http://prola.aps.org/abstract/PR/v121/i5/p1251_1 APS]
* J. M. Luttinger, "Derivation of the Landau Theory of Fermi Liquids. I. Formal Properties", Physical Review, Vol. 127, pp. 1423-1431 (1962). [http://prola.aps.org/abstract/PR/v127/i5/p1423_1 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). [http://prola.aps.org/abstract/PR/v127/i5/p1431_1 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). [http://prola.aps.org/abstract/PRL/v15/i12/p524_1 APS]
* R. Friedberg, and J. M. Luttinger, "Density of electronic energy levels in disordered systems", Physical Review B, Vol. 12, pp. 4460-4474 (1975). [http://prola.aps.org/abstract/PRB/v12/i10/p4460_1 APS]
* J. M. Luttinger, "Density of electronic energy levels in disordered systems. II", Physical Review B, Vol. 13, pp. 2596-2600 (1976). [http://prola.aps.org/abstract/PRB/v13/i6/p2596_1 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). [http://prola.aps.org/abstract/PRB/v27/i2/p935_1 APS]

Obituary

* Philip W. Anderson, Richard M. Friedberg, and Walter Kohn, "Joaquin M. Luttinger", Physics Today, December 1997, pp. 89-90 ( [http://ptonline.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=PHTOAD000050000012000089000002&idtype=cvips PDF] ).
Note: This obituary is reprinted with permission in "Journal of Statistical Physics", Vol. 103, Nos. 3/4, pp. 413-415 (2001) ( [http://dx.doi.org/10.1023/A:1017320711606 Link] ).

ee also

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] .

ome theories to which Luttinger contributed

* Luttinger liquid
* Fermi liquid
* Many-body problem
* Anomalous Hall effect
* Anomalous magnetic moment
* Effective mass theory
* k·p perturbation theory



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