scholarly journals Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

2007 ◽  
Vol 3 (8) ◽  
pp. 561-565 ◽  
Author(s):  
Jeffrey B. Miller ◽  
Iuliana P. Radu ◽  
Dominik M. Zumbühl ◽  
Eli M. Levenson-Falk ◽  
Marc A. Kastner ◽  
...  
Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 200
Author(s):  
Xi Wu ◽  
Mikhail Zubkov

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that, irrespective of the interaction strength, the Hall conductivity is given by the filling fraction of Landau levels averaged over the ground state of the system. This conclusion remains valid for both the integer and fractional quantum Hall effect.


1987 ◽  
Vol 56 (9) ◽  
pp. 3005-3008 ◽  
Author(s):  
Junichi Wakabayashi ◽  
Satoru Sudou ◽  
Shinji Kawaji ◽  
Kazuhiko Hirakawa ◽  
Hiroyuki Sakaki

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