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Thermally activated deviations from quantum Hall plateaux
- Source :
- Solid State Communications. 94:503-507
- Publication Year :
- 1995
- Publisher :
- Elsevier BV, 1995.
-
Abstract
- The Hall conductivity $\sigma_{\rm xy}$ of a two-dimensional electron system is quantized in units of $e^2/h$ when the Fermi level is located in the mobility gap between two Landau levels. We consider the deviation of $\sigma_{\rm xy}$ from a quantized value caused by the thermal activation of electrons to the extended states for the case of a long range random potential. This deviation is of the form $\sigma_{\rm xy}^*\exp(-\Delta/T)$. The prefactor $\sigma_{\rm xy}^*$ is equal to $e^2/h$ at temperatures above a characteristic temperature $T_2$. With the temperature decreasing below $T_2$, $\sigma_{\rm xy}^*$ decays according to a power law: $\sigma_{\rm xy}^* = \frac{e^2}{h}(T/T_2)^\gamma$. Similar results are valid for a fractional Hall plateau near filling factor $p/q$ if $e$ is replaced by the fractional charge $e/q$.<br />Comment: 4 pages in PostScript (figures included)
- Subjects :
- Physics
Condensed matter physics
Filling factor
Condensed Matter (cond-mat)
Fermi level
FOS: Physical sciences
Sigma
Charge (physics)
Condensed Matter
General Chemistry
Landau quantization
Electron
Quantum Hall effect
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
Condensed Matter Physics
7. Clean energy
01 natural sciences
Power law
010305 fluids & plasmas
symbols.namesake
0103 physical sciences
Materials Chemistry
symbols
010306 general physics
Subjects
Details
- ISSN :
- 00381098
- Volume :
- 94
- Database :
- OpenAIRE
- Journal :
- Solid State Communications
- Accession number :
- edsair.doi.dedup.....fb9d5881eeae2bbea40e783f2cb0a0e5