One-dimensional theory for the lowest Landau level of a disordered two-dimensional electron system

1987 ◽  
Vol 35 (12) ◽  
pp. 6137-6153
Author(s):  
W. Apel
Keyword(s):  
Landau Level ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Theory ◽  
One Dimensional ◽  
Lowest Landau Level ◽  
Dimensional Electron System

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

scholarly journals LANDAU LEVEL MIXING AND SOLENOIDAL TERMS IN LOWEST LANDAU LEVEL CURRENTS

1994 ◽  
Vol 08 (17) ◽  
pp. 1065-1073 ◽  
Author(s):  
R. RAJARAMAN ◽  
S. L. SONDHI
Keyword(s):  
Landau Level ◽  
High Field ◽  
Electron System ◽  
Current Operator ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Field Limit ◽  
Lowest Landau Level ◽  
Dimensional Electron System ◽  
Landau Level Mixing

We calculate the lowest Landau level (LLL) current by working in the full Hilbert space of a two-dimensional electron system in a magnetic field and keeping all the nonvanishing terms in the high field limit. The answer i) is not represented by a simple LLL operator and ii) differs from the current operator, recently derived by Martinez and Stone in a field theoretic LLL formalism, by solenoidal terms. Though that is consistent with the inevitable ambiguities of their Noether construction, we argue that the correct answer cannot arise naturally in the LLL formalism.

rf conductivity of a two-dimensional electron system at small Landau-level filling factors

1992 ◽  
Vol 45 (19) ◽  
pp. 11342-11345 ◽  
Author(s):  
M. A. Paalanen ◽  
R. L. Willett ◽  
P. B. Littlewood ◽  
R. R. Ruel ◽  
K. W. West ◽  
...  
Keyword(s):  
Landau Level ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Electron System
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