scholarly journals Composite Fermion Hofstadter Problem: Partially Polarized Density Wave States in theν=2/5Fractional Quantum Hall Effect

2000 ◽  
Vol 84 (2) ◽  
pp. 350-353 ◽  
Author(s):  
Ganpathy Murthy
1994 ◽  
Vol 7 (4) ◽  
pp. 757-762 ◽  
Author(s):  
Yasumasa Hasegawa ◽  
Kazushige Machida ◽  
Mahito Kohmoto ◽  
Victor M. Yakovenko

2001 ◽  
Vol 298 (1-4) ◽  
pp. 520-524 ◽  
Author(s):  
M Sasaki ◽  
N Miyajima ◽  
H Negishi ◽  
K Suga ◽  
Y Narumi ◽  
...  

2016 ◽  
Vol 30 (13) ◽  
pp. 1650142
Author(s):  
Babur M. Mirza

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.


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