Density of states for the lowest landau level of a three-dimensional disordered system

1989 ◽  
Vol 76 (3) ◽  
pp. 289-294 ◽  
Author(s):  
R. Hayn ◽  
W. John
Keyword(s):  
Landau Level ◽  
Density Of States ◽  
Three Dimensional ◽  
Disordered System ◽  
Lowest Landau Level

Gaussian, three-dimensional-XY,and lowest-Landau-level scalings in the low-field fluctuation magnetoconductivity ofBi2Sr2CaCu2O8

1997 ◽  
Vol 56 (17) ◽  
pp. 10836-10839 ◽  
Author(s):  
R. Menegotto Costa ◽  
P. Pureur ◽  
L. Ghivelder ◽  
J. A. Campá ◽  
I. Rasines
Keyword(s):  
Landau Level ◽  
Three Dimensional ◽  
Field Fluctuation ◽  
Low Field ◽  
Lowest Landau Level

scholarly journals Unconventional Hall response in the quantum limit of HfTe5

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
S. Galeski ◽  
X. Zhao ◽  
R. Wawrzyńczak ◽  
T. Meng ◽  
T. Förster ◽  
...  
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Quantum Limit ◽  
Strong Electron ◽  
Electron Band ◽  
Lowest Landau Level ◽  
Interacting Electrons

AbstractInteracting electrons confined to their lowest Landau level in a high magnetic field can form a variety of correlated states, some of which manifest themselves in a Hall effect. Although such states have been predicted to occur in three-dimensional semimetals, a corresponding Hall response has not yet been experimentally observed. Here, we report the observation of an unconventional Hall response in the quantum limit of the bulk semimetal HfTe5, adjacent to the three-dimensional quantum Hall effect of a single electron band at low magnetic fields. The additional plateau-like feature in the Hall conductivity of the lowest Landau level is accompanied by a Shubnikov-de Haas minimum in the longitudinal electrical resistivity and its magnitude relates as 3/5 to the height of the last plateau of the three-dimensional quantum Hall effect. Our findings are consistent with strong electron-electron interactions, stabilizing an unconventional variant of the Hall effect in a three-dimensional material in the quantum limit.

Magnetotransport of a quasi-three-dimensional electron gas in the lowest Landau level

2002 ◽  
Vol 65 (20) ◽  
Author(s):  
G. M. Gusev ◽  
A. A. Quivy ◽  
T. E. Lamas ◽  
J. R. Leite ◽  
A. K. Bakarov ◽  
...  
Keyword(s):  
Landau Level ◽  
Electron Gas ◽  
Three Dimensional ◽  
Dimensional Electron ◽  
Lowest Landau Level ◽  
Dimensional Electron Gas

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
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