Ann. Phys. Fr., Vol. 19, N°4 1994, pp. 399-409
DOI: 10.1051/anphys:01994001904039900

The problem of the half-filled Landau level in 2D electron systems

Yu. A. Bychkov

L.D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow, Russia

Abstract
According to recent theories, a system of electrons under a strong external magnetic field at filling factor v = 1/2 can be transformed to an equivalent system of fermions interacting with a Chern-Simons gauge field, such that the average effective magnetic field, acting on these fermions is zero. I discuss the results of this approach for various physical properties and corresponding experimental data.

PACS
7320D - Electron states in low dimensional structures.
7320M - Collective excitations surface states.
7145 - Collective effects condensed matter electronic structure.

Key words
fermion systems -- interface states -- Landau levels -- magnetic field effects -- half filled Landau level -- 2D electron systems -- strong external magnetic field -- filling factor -- fermions -- Chern Simons gauge field -- average effective magnetic field -- physical properties


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