Abstract
The critical exponent of the localization length in the integral quantum Hall regime can be measured directly using the Hall-bar geometries with different sizes. We obtain a universal behavior 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 =2.30.1 agrees with recent numerical studies for the lowest Landau level. The measured value of the temperature exponent of the inelastic-scattering rate is found to range from p=2.70.3 to p=3.40.4.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 883-886 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 67 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1991 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Size-dependent analysis of the metal-insulator transition in the integral quantum hall effect. / Koch, Stephan W; Haug, R. J.; Klitzing, K. V.; Ploog, K.
In: Physical Review Letters, Vol. 67, No. 7, 1991, p. 883-886.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Size-dependent analysis of the metal-insulator transition in the integral quantum hall effect
AU - Koch, Stephan W
AU - Haug, R. J.
AU - Klitzing, K. V.
AU - Ploog, K.
PY - 1991
Y1 - 1991
N2 - The critical exponent of the localization length in the integral quantum Hall regime can be measured directly using the Hall-bar geometries with different sizes. We obtain a universal behavior 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 =2.30.1 agrees with recent numerical studies for the lowest Landau level. The measured value of the temperature exponent of the inelastic-scattering rate is found to range from p=2.70.3 to p=3.40.4.
AB - The critical exponent of the localization length in the integral quantum Hall regime can be measured directly using the Hall-bar geometries with different sizes. We obtain a universal behavior 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 =2.30.1 agrees with recent numerical studies for the lowest Landau level. The measured value of the temperature exponent of the inelastic-scattering rate is found to range from p=2.70.3 to p=3.40.4.
UR - http://www.scopus.com/inward/record.url?scp=12044260031&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=12044260031&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.67.883
DO - 10.1103/PhysRevLett.67.883
M3 - Article
AN - SCOPUS:12044260031
VL - 67
SP - 883
EP - 886
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 7
ER -