He was born in Moscow to a Jewish family. His father, Yechiel Moiseevich Dzyaloshinskii (1897–1942), a native of Kalush, Ukraine, died in captivity in early 1942.
The first in his family to attend a university,[2] Igor E. Dzyaloshinskii graduated in 1953 from the faculty of physics of Moscow State University.[5]
Dzyaloshinski pursued graduate study at the Institute of Physics of the Russian Academy of Sciences, where he received in 1957 his Russian Candidate of Sciences degree (Ph.D.) with a thesis on weak ferromagnetism under the supervision of Lev Landau.[5] Weak ferromagnetism is "a small spontaneous magnetic moment in certain classes of antiferromagnetic materials". Its explanation involves exchange interactions based upon "concepts of the magnetic symmetry of crystals".[6]
Between 1958 and 1961, with Alexei Abrikosov and Lev Gor'kov, he published important works on the application of methods of quantum field theory in statistical physics (e.g. the theory of superconductivity) and many-particle theory, about which the three also wrote an outstanding textbook Методы квантовой теории поля в статистической физике, which was published in Russian in 1961 and in English translation as Quantum field theory methods in statistical physics in 1963. Dzaloshinskii did important research with Lev Pitaevskii in solving "the problem of the van der Waals forces between bodies separated by an absorbing liquid" and with Yury Bychkov and Lev Gor’kov on the "problem of superconducting and charge-density-wave instabilities in 1D conductors".[2] Dzyaloshinskii and Anatoly Larkin in the 1970s published "a solution to the Luttinger-liquid problem that is central to the theory of 1D Fermi systems and to the bosonization technique."[2][8][9]
In 1991 he immigrated to the United States and soon became a professor at the University of California, Irvine (UCI), where he eventually retired as professor emeritus.[2] In the last years of his career, he did research on violation of time-parity in magneto-optics and the condensed matter physics of Fermi liquids and non-Fermi liquids.[10]
Dzyaloshinskii applied diagram methods to finite-temperature transport problems. He conjectured the existence of phase transitions without fixed points of the renormalization group. He was involved in the formulation of the Matsubara formalism (Takeo Matsubara, 1955).[11]
Gorkov, Abrikosov, & Dzyaloshinski On the application of Quantum field theory methods to problems of quantum statistics at finite temperature, Sov.Phys.JETP, Vol. 9, 1959, p. 636 (JETP, Vol. 36, 1959, p. 900)
Dzyaloshinskii, I.E.; Lifshitz, E.M.; Pitaevskii, L.P. (1961). "The general theory of van der Waals forces". Advances in Physics. 10 (38): 165–209. doi:10.1080/00018736100101281.
Brazovskii, S. A.; Dzyaloshinskii, I. E.; Muratov, A. R. (1987). "Theory of weak crystallization"(PDF). Zh. Eksp. Teor. Fiz. 93: 1110–1124.
Dzyaloshinskii, Igor (1992). "Effects of the finite proton mass in a hydrogen atom in crossed magnetic and electric fields: A state with a giant electric dipole moment". Physics Letters A. 165 (1): 69–71. Bibcode:1992PhLA..165...69D. doi:10.1016/0375-9601(92)91056-W.
Dzyaloshinskii, I.E.; Lifshitz, E.M.; Pitaevskii, L.P.; Priestley, M.G. (1992). "The general theory of van der Waals forces". Perspectives in Theoretical Physics. pp. 443–492. doi:10.1016/B978-0-08-036364-6.50039-9. ISBN9780080363646.
Dzyaloshinskii, I.E.; Lifshitz, E.M.; Pitaevskii, L.P.; Ter Haar, D. (1992). "Van der Waals forces in liquid films". Perspectives in Theoretical Physics. pp. 425–441. doi:10.1016/B978-0-08-036364-6.50038-7. ISBN9780080363646.
Bychkov, Yu. A.; Gor'kov, L. P.; Dzyaloshinskiĭ, I. E. (1996). "Possibility of Superconductivity Type Phenomena in a One-Dimensional System". 30 Years of the Landau Institute — Selected Papers. World Scientific Series in 20th Century Physics. Vol. 11. pp. 1–13. doi:10.1142/9789814317344_0001. ISBN978-981-02-2253-6.
Anisimov, S. I.; Dzyaloshinskiĭ, I. E. (1996). "A New Type of Disclination in Liquid Crystals and the Stability of Disclinations of Various Types". 30 Years of the Landau Institute — Selected Papers. World Scientific Series in 20th Century Physics. Vol. 11. pp. 81–86. doi:10.1142/9789814317344_0012. ISBN978-981-02-2253-6.
Mills, D. L.; Dzyaloshinskii, I. E. (2008). "Influence of electric fields on spin waves in simple ferromagnets: Role of the flexoelectric interaction". Physical Review B. 78 (18): 184422. Bibcode:2008PhRvB..78r4422M. doi:10.1103/PhysRevB.78.184422.
Abrikosov, Gorkov, & Dzyaloshinskii Quantum field theory methods in statistical physics, Prentice Hall 1963,[14] 2nd edition Pergamon Press 1965, new edition Dover 1975
^"Correlation functions for a one-dimensional Fermi system with long-range interaction (Tomonaga model) by I. E. Dzyaloshinskii and A. I. Larkin". 30 Years of the Landau Institute — Selected Papers. World Scientific Series in 20th Century Physics. Vol. 11. 1996. pp. 95–101. doi:10.1142/9789814317344_0014. ISBN978-981-02-2253-6.
^Dzyaloshinskii, I.E.; Larkin, A.I. (1974). "Correlation functions for a one-dimensional Fermi system with long-range interaction (Tomonaga model)". Sov. Phys. JETP. 38: 202.
^Matsubara, T., Fetter, A. L., Walecka, J. D., Abrikosov, A. A., Gorkov, L. P., & Dzyaloshinski, I. E. (1955). "Quantum theory of many-particle systems: Methods of quantum field theory in statistical physics". Prog. Theor. Phys. 14: 351. doi:10.1143/PTP.14.351. S2CID119767087.{{cite journal}}: CS1 maint: multiple names: authors list (link)
^"Igor Dzyaloshinskii". Faculty Honors & Awards (alphabetical list), Dept. of Physics and Astronomy, UCI.