scholarly journals RECONSTRUCTION OF FRACTIONAL QUANTUM HALL EDGES

2002 ◽  
Vol 16 (20n22) ◽  
pp. 2985-2985
Author(s):  
X. WAN ◽  
K. YANG ◽  
E. H. REZAYI

Edge reconstruction has been a well-known effect for integer quantum Hall liquids in the presence of both electron interactions and a confining potential generated by charged background. At more generic fractional fillings, we point out that confined two-dimensional interacting electrons can exhibit the similar reconstruction effect. Our exact diagonalization results show that, in a fractional quantum Hall system with a sharp cleaved edge potential, the electron density oscillation near the edge increases with the distance between the electron gas and the background charge layer. As a results, the outermost hump can detach from the bulk beyond certain point. We suggest that the edge reconstruction effect is relevant to the recent edge tunneling experiments,1 as well as the microwave absorption experiment on two-dimensional electrons in an antidot array.2 Calculating the finite-temperature density profiles, we estimate the temperature above which the edge reconstruction disappears to further discuss the relevance to the microwave absorption experiment.

2005 ◽  
Vol 72 (7) ◽  
Author(s):  
Xin Wan ◽  
D. N. Sheng ◽  
E. H. Rezayi ◽  
Kun Yang ◽  
R. N. Bhatt ◽  
...  

2013 ◽  
Vol 3 ◽  
pp. 87-88
Author(s):  
Laxmi Nath Bhattarai

Graphene is a two dimensional one atom thick allotrope of Carbon. Electrons in grapheme behave as massless relativistic particles. It is a 2 dimensional nanomaterial with many peculiar properties. In grapheme both integral and fractional quantum Hall effects are observed. Many practical application are seen from use of Graphene material.The Himalayan PhysicsVol. 3, No. 3, July 2012Page: 87-88


1991 ◽  
Vol 05 (10) ◽  
pp. 1725-1729
Author(s):  
F. C. Zhang ◽  
M. Ma

Ideal anyons with statistics ν in a strong magnetic field are studied by means of a similarity transformation. The ground state exhibits "integer" quantum Hall effect at filling factor 1/ν with quasiparticle excitations of charge q/ν and statistics -1/ν. Certain electron FQH states can be considered as realization of this, for example, the sequence 2/5, 3/7, … hierarchy of the 1/3 state. This may explain the observed quasiparticle-quasihole asymmetry in the fractional quantum Hall hierarchy.


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