scholarly journals Phase diagram and edge states of theν=5/2fractional quantum Hall state with Landau level mixing and finite well thickness

2015 ◽  
Vol 91 (20) ◽  
Author(s):  
Anthony Tylan-Tyler ◽  
Yuli Lyanda-Geller
Keyword(s):  
Phase Diagram ◽  
Landau Level ◽  
Quantum Hall ◽  
Edge States ◽  
Landau Level Mixing ◽  
Quantum Hall State

scholarly journals Erratum: Phase Diagram of theν=5/2Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width [Phys. Rev. X5, 021004 (2015)]

2015 ◽  
Vol 5 (2) ◽  
Author(s):  
Kiryl Pakrouski ◽  
Michael R. Peterson ◽  
Thierry Jolicoeur ◽  
Vito W. Scarola ◽  
Chetan Nayak ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Landau Level Mixing

scholarly journals Phase Diagram of theν=5/2Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width

2015 ◽  
Vol 5 (2) ◽  
Author(s):  
Kiryl Pakrouski ◽  
Michael R. Peterson ◽  
Thierry Jolicoeur ◽  
Vito W. Scarola ◽  
Chetan Nayak ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Landau Level Mixing

VERTEX OPERATORS IN THE QUANTUM HALL EFFECT

1991 ◽  
Vol 05 (03) ◽  
pp. 509-527 ◽  
Author(s):  
MICHAEL STONE
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Group Action ◽  
Quantum Hall ◽  
Vertex Operators ◽  
Edge States ◽  
Many Body ◽  
Level I ◽  
The Many

The edge states of the quantum Hall effect carry representations of chiral current algebras and their associated groups. In the simplest case of a single filled Landau level, I demonstrate explicitly how the group action affects the many-body states, and why the Kac-Peterson cocycle appears in the group multiplication law. I show how these representations may be used to construct vertex operators which create localised edge excitations, and indicate how they are related to the bulk quasi-particles.

scholarly journals Landau-level mixing and spin degeneracy in the quantum Hall effect

1997 ◽  
Vol 55 (12) ◽  
pp. 7761-7770 ◽  
Author(s):  
V. Kagalovsky ◽  
B. Horovitz ◽  
Y. Avishai
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Spin Degeneracy ◽  
Landau Level Mixing
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