Exact density of states for lowest Landau level in white noise potential superfield representation for interacting systems

1983 ◽  
Vol 51 (4) ◽  
pp. 279-285 ◽  
Author(s):  
Franz Wegner
2006 ◽  
Vol 18 (08) ◽  
pp. 913-934 ◽  
Author(s):  
TAKUYA MINE ◽  
YUJI NOMURA

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.


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

2003 ◽  
Vol 68 (20) ◽  
Author(s):  
Nancy Sandler ◽  
Hamid R. Maei ◽  
Jané Kondev

1992 ◽  
Vol 46 (16) ◽  
pp. 10468-10471 ◽  
Author(s):  
H. W. Jiang ◽  
L. W. Engel ◽  
D. C. Tsui ◽  
H. L. Stormer ◽  
L. N. Pfeiffer ◽  
...  

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

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