Finite-size corrections in the quantum Hall effect

1986 ◽  
Vol 19 (24) ◽  
pp. 4709-4721 ◽  
Author(s):  
B Shapiro
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Finite Size ◽  
Finite Size Corrections

EXPERIMENTAL FINITE-SIZE SCALING IN THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (01) ◽  
pp. 1-8 ◽  
Author(s):  
S. KOCH ◽  
R.J. HAUG ◽  
K. v. KLITZING ◽  
K. PLOOG
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Localization Length ◽  
Finite Size ◽  
Landau Levels ◽  
Spin Splitting ◽  
Theoretic Approach ◽  
Lowest Landau Level ◽  
Experimental Findings

The critical exponent ν of the localization length in the integral quantum Hall regime can be measured directly using small Hall-bar geometries with different sizes. We obtain a universal behaviour for the three lowest Landau levels. This is in agreement with the universality prediction of the field-theoretic approach to the metal-insulator-transition in the quantum Hall effect. The value of ν=2.3±0.1 agrees with recent numerical studies for the lowest Landau level. We review recent experimental findings on the basis of these results and discuss the situation in Landau levels where spin-splitting is not resolved.

THEORY OF THE QUANTIZED ADIABATIC PARTICLE TRANSPORT

1991 ◽  
Vol 05 (14n15) ◽  
pp. 923-931 ◽  
Author(s):  
QIAN NIU
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Size Effects ◽  
Particle Transport ◽  
Quantum Fluctuation ◽  
Quantum Hall ◽  
Finite Size ◽  
Finite Size Effects ◽  
Gauge Invariant ◽  
Realistic Geometry

A localized formulation is presented for the quantized adiabatic particle transport (APT) induced by a slow and cyclic potential variation. Finite size effects are studied for the ring geometry and a realistic geometry. The localized description of APT is shown to be equivalent to the Laughlin's gauge invariant argument for the quantum Hall effect. The effect of quantum fluctuation and the possibility of fractionally quantized APT are also discussed.

Localization and many-body interactions in the quantum Hall effect determined by polarized optical emission

1991 ◽  
Vol 44 (8) ◽  
pp. 4006-4009 ◽  
Author(s):  
B. B. Goldberg ◽  
D. Heiman ◽  
M. Dahl ◽  
A. Pinczuk ◽  
L. Pfeiffer ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Optical Emission ◽  
Many Body ◽  
Many Body Interactions

Quantum Hall effect in a saddle-point system

1998 ◽  
Vol 2 (1-4) ◽  
pp. 523-526
Author(s):  
M.V Budantsev ◽  
Z.D Kvon ◽  
A.G Pogosov ◽  
E.B Olshanetskii ◽  
D.K Maude ◽  
...  
Keyword(s):  
Saddle Point ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Point System ◽  
Saddle Point System
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