scholarly journals Density matrix renormalization group study of the ν=1/3 edge states in fractional quantum Hall systems

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Takuya Ito ◽  
Naokazu Shibata
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Quantum Hall ◽  
Density Matrix Renormalization Group ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Density Matrix Renormalization ◽  
Quantum Hall Systems

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.

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