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

scholarly journals Formal derivation of the Laughlin function and its generalization for other topological phases of FQHE

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Janusz E. Jacak
Keyword(s):  
Quantum Mechanics ◽  
Quantum Hall ◽  
Electron System ◽  
Topological Phases ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Topological Constraints ◽  
Lowest Landau Level ◽  
Local Quantum ◽  
Dimensional Electron System

AbstractUsing the braid symmetry we demonstrate the derivation of the Laughlin function for the main hierarchy 1/q of FQHE in the lowest Landau level of two-dimensional electron system with a mathematical rigour. This proves that the derivation of Laughlin function unavoidably requires some topological elements and cannot be completed within a local quantum mechanics, i.e., without global topological constraints imposed. The method shows the way for the generalization of this function onto other fractions from the general quantum Hall hierarchy. A generalization of the Laughlin function is here formulated.

Landau-Level Spectroscopy of a Two-Dimensional Electron System by Tunneling through a Quantum Dot

2000 ◽  
Vol 84 (4) ◽  
pp. 729-732 ◽  
Author(s):  
P. C. Main ◽  
A. S. G. Thornton ◽  
R. J. A. Hill ◽  
S. T. Stoddart ◽  
T. Ihn ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Landau Level ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Electron System ◽  
Landau Level Spectroscopy
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