scholarly journals Magnetic spectrum of trigonally warped bilayer graphene: Semiclassical analysis, zero modes, and topological winding numbers

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
R. de Gail ◽  
M. O. Goerbig ◽  
G. Montambaux
Keyword(s):  
Bilayer Graphene ◽  
Semiclassical Analysis ◽  
Zero Modes ◽  
Magnetic Spectrum

Zero Modes & Fractional Charge in Bilayer Graphene

2011 ◽  
Author(s):  
J. C. Martinez ◽  
M. B. A. Jalil ◽  
S. G. Tan ◽  
Jisoon Ihm ◽  
Hyeonsik Cheong
Keyword(s):  
Bilayer Graphene ◽  
Fractional Charge ◽  
Zero Modes

scholarly journals Topologically protected zero modes in twisted bilayer graphene

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
R. de Gail ◽  
M. O. Goerbig ◽  
F. Guinea ◽  
G. Montambaux ◽  
A. H. Castro Neto
Keyword(s):  
Bilayer Graphene ◽  
Zero Modes ◽  
Twisted Bilayer Graphene

scholarly journals Landau levels for graphene layers in noncommutative plane

2021 ◽  
pp. 2150087
Author(s):  
Lucas Sourrouille
Keyword(s):  
Energy Spectrum ◽  
Bilayer Graphene ◽  
Landau Levels ◽  
Graphene Layers ◽  
Zero Modes ◽  
Commutative Space ◽  
Noncommutative Plane

Starting from the zero modes of the single and bilayer graphene Hamiltonians we develop a mechanism to construct the eigenstates and eigenenergies for Landau levels in noncommutative plane. General formulas for the spectrum of energies are deduced, for both cases, single and bilayer graphene. In both cases we find that the effect to introduce noncommutative coordinates is a shift in the energy spectrum with respect to result obtained in commutative space.

scholarly journals Majorana zero modes and their bosonization

2020 ◽  
Vol 102 (15) ◽  
Author(s):  
Victor Chua ◽  
Katharina Laubscher ◽  
Jelena Klinovaja ◽  
Daniel Loss
Keyword(s):  
Zero Modes

scholarly journals Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yuan Da Liao ◽  
Jian Kang ◽  
Clara N. Breiø ◽  
Xiao Yan Xu ◽  
Han-Qing Wu ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Topological Phases ◽  
Charge Neutrality ◽  
Twisted Bilayer Graphene
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