scholarly journals Exact Landau Level Description of Geometry and Interaction in a Flatband

2021 ◽  
Vol 127 (24) ◽  
Author(s):  
Jie Wang ◽  
Jennifer Cano ◽  
Andrew J. Millis ◽  
Zhao Liu ◽  
Bo Yang
Keyword(s):  
1978 ◽  
Vol 39 (C6) ◽  
pp. C6-1135-C6-1137 ◽  
Author(s):  
R. A. Gordon ◽  
J. B. Frandsen
Keyword(s):  

2021 ◽  
Vol 47 (1) ◽  
pp. 7-13
Author(s):  
S. V. Gudina ◽  
A. S. Bogolubskiy ◽  
V. N. Neverov ◽  
K. V. Turutkin ◽  
N. G. Shelushinina ◽  
...  

1994 ◽  
Vol 08 (11n12) ◽  
pp. 1625-1638 ◽  
Author(s):  
GERALD V. DUNNE

The N→∞ limit of the edges of finite planar electron densities is discussed for higher Landau levels. For full filling, the particle number is correlated with the magnetic flux, and hence with the boundary location, making the N→∞ limit more subtle at the edges than in the bulk. In the nth Landau level, the density exhibits n distinct steps at the edge, in both circular and rectangular samples. The boundary characteristics for individual Landau levels, and for successively filled Landau levels, are computed in an asymptotic expansion.


1997 ◽  
Vol 78 (16) ◽  
pp. 3173-3176 ◽  
Author(s):  
Katerina Moloni ◽  
Mark Friesen ◽  
Shi Li ◽  
Victor Souw ◽  
P. Metcalf ◽  
...  

1995 ◽  
Vol 10 (10) ◽  
pp. 1315-1322 ◽  
Author(s):  
A Kristensen ◽  
C J Kennedy ◽  
P E Lindelof ◽  
M Persson

1991 ◽  
Vol 05 (03) ◽  
pp. 509-527 ◽  
Author(s):  
MICHAEL STONE

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.


2000 ◽  
Vol 62 (12) ◽  
pp. 8171-8179 ◽  
Author(s):  
S.-R. Eric Yang ◽  
Min-Chul Cha ◽  
Jung Hoon Han

2003 ◽  
Vol 68 (20) ◽  
Author(s):  
Nancy Sandler ◽  
Hamid R. Maei ◽  
Jané Kondev

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