scholarly journals Quantum dot dephasing by fractional quantum Hall edge states

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
T. K. T. Nguyen ◽  
A. Crépieux ◽  
T. Jonckheere ◽  
A. V. Nguyen ◽  
Y. Levinson ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Quantum Hall ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Topological Aspects of Quantum Hall Fluid and Berry Phase

1998 ◽  
Vol 12 (26) ◽  
pp. 2649-2707 ◽  
Author(s):  
Banasri Basu ◽  
P. Bandyopadhyay
Keyword(s):  
Quantum Hall Effect ◽  
Berry Phase ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Chiral Anomaly ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Characteristic Features

We have analyzed here the recent development towards our understanding of the Integral and Fractional Quantum Hall effect. It has been pointed out that the chiral anomaly and Berry phase approach embraces in a unified way the whole spectrum of quantum Hall systems with their various characteristic features. This formalism also helps us to understand the edge states observed in Hall fluids. It is argued that Hall fluids with even denominator filling factor leads to the non-Abelian Berry phase.

scholarly journals Driven quantum dot coupled to a fractional quantum Hall edge

2019 ◽  
Vol 100 (24) ◽  
Author(s):  
Glenn Wagner ◽  
Dung X. Nguyen ◽  
Dmitry L. Kovrizhin ◽  
Steven H. Simon
Keyword(s):  
Quantum Dot ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals MULTIPLE EDGE PARTITION FUNCTIONS FOR FRACTIONAL QUANTUM HALL STATES

1999 ◽  
Vol 14 (23) ◽  
pp. 3745-3759
Author(s):  
KAZUSUMI INO
Keyword(s):  
Quantum Hall ◽  
Multiple Edge ◽  
Partition Functions ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Conformal Field ◽  
Verlinde Formula ◽  
Quantum Hall States ◽  
Edge Partition

We consider the multiple edge states of the Laughlin state and the Pfaffian state. These edge states are globally constrained through the operator algebra of conformal field theory in the bulk. We analyze these constraints by introducing an expression of quantum Hall state by chiral vertex operators and obtain the multiple edge partition functions by using the Verlinde formula.

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