Annotation

The quantum Hall effect (QHE) is considered from the standpoint of the general theorems of quantum field theory and is interpreted as a quantum macroscopic phenomenon due to a spontaneous break of symmetry of the corresponding quantum system. An effective field model of QHE is suggested and a relationship between this model and the two-dimensional Higgs abelian model is established. This made it possible to determine what seems to be the true vacuum state in the case of the fractional quantum Hall effect, which turned out to be a nondegenerate $|\theta \rangle$-vacuum state.

Rissian citation:

В.Р. Халилов.

Квантовый эффект Холла и общие принципы квантовой теории поля. Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1991. № 6. С. 3.

© 2016 Publisher M.V.Lomonosov Moscow State University

Authors

V.R. Khalilov

Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia

Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia