Can fractional quantum Hall effect be due to the formation of coherent wave structures in a 2D electron gas?
Keyword(s):
A microscopic theory of integer and fractional quantum Hall effects is presented here. In quantum density wave representation of charged particles, it is shown that, in a two-dimensional electron gas coherent structures form under the low temperature and high density conditions. With a sufficiently high applied magnetic field, the combined [Formula: see text] particle quantum density wave exhibits collective periodic oscillations. As a result the corresponding quantum Hall voltage function shows a step-wise change in multiples of the ratio [Formula: see text]. At lower temperatures further subdivisions emerge in the Hall resistance, exhibiting the fractional quantum Hall effect.
1992 ◽
Vol 45
(23)
◽
pp. 13479-13487
◽
1987 ◽
Vol 56
(9)
◽
pp. 3005-3008
◽