scholarly journals Quantum Hall effect and Landau-level crossing of Dirac fermions in trilayer graphene

2011 ◽  
Vol 7 (8) ◽  
pp. 621-625 ◽  
Author(s):  
Thiti Taychatanapat ◽  
Kenji Watanabe ◽  
Takashi Taniguchi ◽  
Pablo Jarillo-Herrero
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Dirac Fermions ◽  
Level Crossing ◽  
Trilayer Graphene

scholarly journals Even-denominator fractional quantum Hall effect at a Landau level crossing

2014 ◽  
Vol 89 (16) ◽  
Author(s):  
Yang Liu ◽  
S. Hasdemir ◽  
D. Kamburov ◽  
A. L. Graninger ◽  
M. Shayegan ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Level Crossing ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

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 Fractional Quantum Hall Effect at ν=2+6/13 : The Parton Paradigm for the Second Landau Level

2018 ◽  
Vol 121 (18) ◽  
Author(s):  
Ajit C. Balram ◽  
Sutirtha Mukherjee ◽  
Kwon Park ◽  
Maissam Barkeshli ◽  
Mark S. Rudner ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Quantum hall effect in a system of gapless Dirac fermions in HgTe quantum wells

JETP Letters ◽  
2015 ◽  
Vol 100 (11) ◽  
pp. 724-730 ◽  
Author(s):  
D. A. Kozlov ◽  
Z. D. Kvon ◽  
N. N. Mikhailov ◽  
S. A. Dvoretskii
Keyword(s):  
Quantum Wells ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Dirac Fermions

scholarly journals Quantum Hall effect in monolayer, bilayer and trilayer graphene

2013 ◽  
Vol 456 ◽  
pp. 012006 ◽  
Author(s):  
C Cobaleda ◽  
E Diez ◽  
M Amado ◽  
S Pezzini ◽  
F Rossella ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Trilayer Graphene

scholarly journals Quantum parity Hall effect in Bernal-stacked trilayer graphene

2019 ◽  
Vol 116 (21) ◽  
pp. 10286-10290 ◽  
Author(s):  
Petr Stepanov ◽  
Yafis Barlas ◽  
Shi Che ◽  
Kevin Myhro ◽  
Greyson Voigt ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Exchange Interactions ◽  
Mirror Reflection ◽  
Edge States ◽  
State Variables ◽  
Coulomb Interactions ◽  
Spin Polarized ◽  
Trilayer Graphene

The quantum Hall effect has recently been generalized from transport of conserved charges to include transport of other approximately conserved-state variables, including spin and valley, via spin- or valley-polarized boundary states with different chiralities. Here, we report a class of quantum Hall effect in Bernal- or ABA-stacked trilayer graphene (TLG), the quantum parity Hall (QPH) effect, in which boundary channels are distinguished by even or odd parity under the system’s mirror reflection symmetry. At the charge neutrality point, the longitudinal conductance σxx is first quantized to 4e2/h at a small perpendicular magnetic field B⊥, establishing the presence of four edge channels. As B⊥ increases, σxx first decreases to 2e2/h, indicating spin-polarized counterpropagating edge states, and then, to approximately zero. These behaviors arise from level crossings between even- and odd-parity bulk Landau levels driven by exchange interactions with the underlying Fermi sea, which favor an ordinary insulator ground state in the strong B⊥ limit and a spin-polarized state at intermediate fields. The transitions between spin-polarized and -unpolarized states can be tuned by varying Zeeman energy. Our findings demonstrate a topological phase that is protected by a gate-controllable symmetry and sensitive to Coulomb interactions.

scholarly journals Fractional quantum Hall effect at Landau level fillingν=4/11

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
W. Pan ◽  
K. W. Baldwin ◽  
K. W. West ◽  
L. N. Pfeiffer ◽  
D. C. Tsui
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Quantum Hall effect breakdown: can the bootstrap heating and inter-Landau-level scattering models be reconciled?

2002 ◽  
Vol 12 (1-4) ◽  
pp. 178-181 ◽  
Author(s):  
O Makarovsky ◽  
A Neumann ◽  
L.A Dickinson ◽  
L Eaves ◽  
P.C Main ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall
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