Joaquin Mazdak Luttinger
Encyclopedia
Joaquin Mazdak Luttinger (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 electrons in these metals are said to be in a Luttinger-liquid
state) and the Fermi-liquid
theory. His brother is the physical chemist Lionel Luttinger (1920 - 2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).
New York
New York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...
— April 6, 1997, New York
New York
New York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...
) was an American physicist well-known for his contributions to the theory of interacting electrons in one-dimensional metals (the electrons in these metals are said to be in a Luttinger-liquid
Luttinger liquid
A Tomonaga-Luttinger liquid, more often referred to as simply a Luttinger liquid, is a theoretical model describing interacting electrons in a one-dimensional conductor...
state) and the Fermi-liquid
Fermi liquid
Fermi liquid theory is a theoretical model of interacting fermions that describes the normal state of most metals at sufficiently low temperatures. The interaction between the particles of the many-body system does not need to be small...
theory. His brother is the physical chemist Lionel Luttinger (1920 - 2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).
Some publications
(Note: For a complete list, see J. Stat. Phys. 103, 641 (2001).)- W. KohnWalter KohnWalter Kohn is an Austrian-born American theoretical physicist.He was awarded, with John Pople, the Nobel Prize in chemistry in 1998. The award recognized their contributions to the understandings of the electronic properties of materials...
, 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. WardJohn Clive WardJohn Clive Ward , was a British-Australian physicist. His most famous creation was the Ward-Takahashi identity, originally known as "Ward Identity" . This celebrated result, in quantum electrodynamics, was inspired by a conjecture of Dyson and was disclosed in a one-half page letter typical of...
, 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 KohnWalter KohnWalter Kohn is an Austrian-born American theoretical physicist.He was awarded, with John Pople, the Nobel Prize in chemistry in 1998. The award recognized their contributions to the understandings of the electronic properties of materials...
, 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).
See also
- Luttinger liquidLuttinger liquidA Tomonaga-Luttinger liquid, more often referred to as simply a Luttinger liquid, is a theoretical model describing interacting electrons in a one-dimensional conductor...
- Fermi liquidFermi liquidFermi liquid theory is a theoretical model of interacting fermions that describes the normal state of most metals at sufficiently low temperatures. The interaction between the particles of the many-body system does not need to be small...
- Luttinger's theoremLuttinger's theoremIn condensed matter physics, Luttinger's theorem is a result derived by J. M. Luttinger and J. C. Ward in 1960 that has broad implications in the field of electron transport...
- Many-body problemMany-body problemThe many-body problem is a general name for a vast category of physical problems pertaining to the properties of microscopic systems made of a large number of interacting particles. Microscopic here implies that quantum mechanics has to be used to provide an accurate description of the system...
- Anomalous Hall effect
- Anomalous magnetic moment
- Effective mass theoryEffective massIn solid state physics, a particle's effective mass is the mass it seems to carry in the semiclassical model of transport in a crystal. It can be shown that electrons and holes in a crystal respond to electric and magnetic fields almost as if they were particles with a mass dependence in their...
- k·p perturbation theoryK·p perturbation theoryIn solid-state physics, k·p perturbation theory is an approximation scheme for calculating the band structure and optical properties of crystalline solids. It is pronounced "k dot p", and is also called the "k·p method"...
- Luttinger parameter
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 UniversityColumbia UniversityColumbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...
, New YorkNew YorkNew York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...
, http://www.columbia.edu/cu/record/archives/vol22/vol22_iss21/record2221.32.html.
