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Quantum Hall Effect in Graphene

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1140-1144
Author(s):  
Mikito Koshino ◽  
Tsuneya Ando
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Thermodynamic Limit ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Monolayer Graphene ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Extended States ◽  
Landau Band

The integer quantum Hall effect is studied for a non-interacting electron in a monolayer graphene. We numerically calculate the Hall conductivity in a single Landau level with disorder, and estimate the critical energies for the extended states in thermodynamic limit. We show that a valley-degenerated (K and K′) Landau band has extended levels at two different energies, indicating that an extra Hall plateau appears inside.

scholarly journals Tunneling spectroscopy of Landau band gaps at a quantum Hall line junction with adjustable Fermi level

2006 ◽  
Vol 73 (20) ◽  
Author(s):  
Matthias Habl ◽  
Matthias Reinwald ◽  
Werner Wegscheider ◽  
Max Bichler ◽  
Gerhard Abstreiter
Keyword(s):  
Fermi Level ◽  
Quantum Hall ◽  
Tunneling Spectroscopy ◽  
Band Gaps ◽  
Landau Band

scholarly journals Possible existence of a band of extended states induced by inter-Landau-band mixing in a quantum Hall system

2006 ◽  
Vol 18 (6) ◽  
pp. 2029-2055 ◽  
Author(s):  
Gang Xiong ◽  
Shi-Dong Wang ◽  
Qian Niu ◽  
Yupeng Wang ◽  
X C Xie ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Band Mixing ◽  
Extended States ◽  
Quantum Hall System ◽  
Landau Band

Detection of Landau band coupling induced rearrangement of the Hofstadter butterfly

2004 ◽  
Vol 25 (2-3) ◽  
pp. 227-232 ◽  
Author(s):  
M.C. Geisler ◽  
J.H. Smet ◽  
V. Umansky ◽  
K. von Klitzing ◽  
B. Naundorf ◽  
...  
Keyword(s):  
Hofstadter Butterfly ◽  
Landau Band

Detection of a Landau Band-Coupling-Induced Rearrangement of the Hofstadter Butterfly

2004 ◽  
Vol 92 (25) ◽  
Author(s):  
M. C. Geisler ◽  
J. H. Smet ◽  
V. Umansky ◽  
K. von Klitzing ◽  
B. Naundorf ◽  
...  
Keyword(s):  
Hofstadter Butterfly ◽  
Landau Band

CONFINEMENT TO LOWEST LANDAU BAND AND APPLICATION TO QUANTUM CURRENT

2003 ◽  
Vol 15 (10) ◽  
pp. 1219-1253 ◽  
Author(s):  
S. FOURNAIS
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Asymptotic Form ◽  
Nuclear Charge ◽  
Neutral Atoms ◽  
Parameter Region ◽  
Quantum Current ◽  
Landau Band

In this paper we study neutral atoms of nuclear charge Z in a strong constant magnetic field of strength B. We improve the bound on confinement to the lowest Landau band given by Lieb, Solovej and Yngvason in [1]. This permits the calculation of the asymptotic form of the quantum current of atoms in the parameter region [Formula: see text].

scholarly journals Semiclassics in the lowest Landau band

2002 ◽  
Vol 43 (3) ◽  
pp. 1185-1210
Author(s):  
Christian Hainzl
Keyword(s):  
Landau Band

Magnetoresistance oscillations in a periodic magnetic field due to internal Landau band structure

2002 ◽  
Vol 12 (1-4) ◽  
pp. 212-215
Author(s):  
K.W. Edmonds ◽  
B.L. Gallagher ◽  
P.C. Main ◽  
A. Nogaret ◽  
M. Henini ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Band Structure ◽  
Periodic Magnetic Field ◽  
Magnetoresistance Oscillations ◽  
Landau Band
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