Exact density of states of the lowest Landau level in a spin- system with uncorrelated disorders

1997 ◽  
Vol 55 (8) ◽  
pp. 5205-5213 ◽  
Author(s):  
Ming-Hsien Tu ◽  
Min-Fong Yang
Keyword(s):  
Landau Level ◽  
Density Of States ◽  
Spin System ◽  
Lowest Landau Level ◽  
Exact Density

PERIODIC AHARONOV–BOHM SOLENOIDS IN A CONSTANT MAGNETIC FIELD

2006 ◽  
Vol 18 (08) ◽  
pp. 913-934 ◽  
Author(s):  
TAKUYA MINE ◽  
YUJI NOMURA
Keyword(s):  
Magnetic Field ◽  
Landau Level ◽  
Density Of States ◽  
Homogeneous Magnetic Field ◽  
Landau Levels ◽  
Sufficient Condition ◽  
Absolutely Continuous ◽  
Lowest Landau Level ◽  
Aharonov Bohm ◽  
The Magnetic Field

We consider the magnetic Schrödinger operator on R2. The magnetic field is the sum of a homogeneous magnetic field and periodically varying pointlike magnetic fields on a lattice. We shall give a sufficient condition for each Landau level to be an infinitely degenerated eigenvalue. This condition is also necessary for the lowest Landau level. In the threshold case, we see that the spectrum near the lowest Landau level is purely absolutely continuous. Moreover, we shall give an estimate for the density of states for Landau levels and their gaps. The proof is based on the method of Geyler and Šťovíček, the magnetic Bloch theory, and canonical commutation relations.

scholarly journals 3DXYand Lowest Landau Level Fluctuations in DeoxygenatedYBa2Cu3O7−δThin Films

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

scholarly journals Quantum and classical localization in the lowest Landau level

2003 ◽  
Vol 68 (20) ◽  
Author(s):  
Nancy Sandler ◽  
Hamid R. Maei ◽  
Jané Kondev
Keyword(s):  
Landau Level ◽  
Lowest Landau Level ◽  
Classical Localization

Transport properties of a two-dimensional electron system at even-denominator fillings of the lowest Landau level

1992 ◽  
Vol 46 (16) ◽  
pp. 10468-10471 ◽  
Author(s):  
H. W. Jiang ◽  
L. W. Engel ◽  
D. C. Tsui ◽  
H. L. Stormer ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Transport Properties ◽  
Landau Level ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Lowest Landau Level ◽  
Dimensional Electron System

Coupling of Surface and Lowest Landau Level States in a Rectangular Graphene Dot

2011 ◽  
Vol 11 (1) ◽  
pp. 629-631
Author(s):  
P. S. Park ◽  
S. C. Kim ◽  
S.-R. Eric Yang
Keyword(s):  
Landau Level ◽  
Lowest Landau Level
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