The fields in which Arkady Aronov contributed the most are
optics of semiconductors;
spin kinetics and spin-dependent transport phenomena in semiconductors and metals;
non-equilibrium phenomena in superconductors;
mesoscopic physics, including quantum kinetic theory of disordered electronic structures, disorder, interaction, and quantum coherence phenomena.
Spin relaxation
In 1975, together with late Gennady Bir and with Grigory Pikus, Aronov suggested a mechanism of spin relaxation in solids, which is currently known as the Bir–Aronov–Pikus mechanism and is considered to be one of three most important spin relaxation mechanisms, on par with the Dyakonov–Perel and Elliott–Yafet mechanisms.
Mesoscopic physics
Together with Boris Altshuler, a graduate student under his supervision, Aronov developed theory of electron-electron interaction in disordered conductors. In particular, he derived a Boltzmann-like equation which governs the kinetic behavior of electrons in conductors with weak disorder, and discovered that electrical conductivity acquires a correction due to electron-electron interaction. This term is widely known as Altshuler–Aronov correction. In collaboration with Altshuler and Patrick A. Lee he applied this theory to explain the experimentally observed phenomenon of zero-bias anomaly - suppression of density of states by interactions at the Fermi surface. In 1981, in collaboration with Boris Altshuler and David Khmelnitsky, he investigated decoherence of electrons in the weak localization regime due to electron-electron interaction, and discovered that two distinct time scales, decoherence time and relaxation time, exist in one and two dimensions.. In the same year, together with Boris Altshuler and Boris Spivak, Aronov suggested an experiment which by measuring an Aharonov–Bohm oscillations in a disordered conductor would reveal the weak localization effect by the existence of oscillations with the halved period as compared with Aharonov–Bohm oscillations in clean conductors. The experiment by Dmitry Sharvin and Yury Sharvin performed in the same year fully confirmed the predictions. These advances were summarized by Altshuler and Aronov in a review article "Electron-Electron interaction in disordered conductors", which became a reference material in the field and by 2009 was cited over 1000 times. In 1994 Aronov, in collaboration with Alexander Mirlin and Peter Wölfle, initiated studies of properties of electrons in random magnetic field which eventually opened the whole research field of electrons in random magnetic field, useful for understanding the quantum Hall effect.
Hewlett Packard Europhysics Prize, 1993, shared with Boris Altshuler, David Khmelnitsky, Anatoly Larkin, and Boris Spivak, awarded for "Theoretical Work on Coherent Phenomena in disordered Conductors".