scholarly journals Landau-level dispersion and the quantum Hall plateaus in bilayer graphene

2013 ◽  
Author(s):  
M. Zarenia ◽  
P. Vasilopoulos ◽  
N. Pourtolami ◽  
F. M. Peeters
2016 ◽  
Vol 7 (1) ◽  
Author(s):  
Georgi Diankov ◽  
Chi-Te Liang ◽  
François Amet ◽  
Patrick Gallagher ◽  
Menyoung Lee ◽  
...  

Nano Letters ◽  
2017 ◽  
Vol 17 (6) ◽  
pp. 3416-3420 ◽  
Author(s):  
C. Pan ◽  
Y. Wu ◽  
B. Cheng ◽  
S. Che ◽  
T. Taniguchi ◽  
...  

Science ◽  
2014 ◽  
Vol 345 (6192) ◽  
pp. 58-61 ◽  
Author(s):  
Kayoung Lee ◽  
Babak Fallahazad ◽  
Jiamin Xue ◽  
David C. Dillen ◽  
Kyounghwan Kim ◽  
...  

Bilayer graphene has a distinctive electronic structure influenced by a complex interplay between various degrees of freedom. We probed its chemical potential using double bilayer graphene heterostructures, separated by a hexagonal boron nitride dielectric. The chemical potential has a nonlinear carrier density dependence and bears signatures of electron-electron interactions. The data allowed a direct measurement of the electric field–induced bandgap at zero magnetic field, the orbital Landau level (LL) energies, and the broken-symmetry quantum Hall state gaps at high magnetic fields. We observe spin-to-valley polarized transitions for all half-filled LLs, as well as emerging phases at filling factors ν = 0 and ν = ±2. Furthermore, the data reveal interaction-driven negative compressibility and electron-hole asymmetry in N = 0, 1 LLs.


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.


2018 ◽  
Vol 121 (18) ◽  
Author(s):  
Ajit C. Balram ◽  
Sutirtha Mukherjee ◽  
Kwon Park ◽  
Maissam Barkeshli ◽  
Mark S. Rudner ◽  
...  

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