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Microscopic Theory of the Quantum Hall Effect.
- Source :
-
Modern Physics Letters B . 8/30/2001, Vol. 15 Issue 20, p817. 9p. - Publication Year :
- 2001
-
Abstract
- The phonon exchange between the electron and the elementary magnetic flux (fluxon) induces an attractive transition in the degenerate Landau states. This attraction bounds an electron-fluxon complex. The center-of-mass of the complex moves as a boson with a linear dispersion relation (∈ = cp). The 2D system of free massless bosons undergoes a Bose-Einstein condensation at κ[sub B]T[sub c] = 1.954 hcn[sup ½], where n is the boson density. For GaAs/AlGaAs, T[sub c] ∼ 1 K at the principal Landau-level occupation ratio ν = 1, where the electron number equals the fluxon number. Below T[sub c], there is an energy gap, which stabilizes the Hall resistivity plateau. The plateau value (j/N)(h/e²) at the fractional occupation ratio ν = N/j, for odd j, indicates that the composite boson containing an electron and j fluxons carries the fractional charge (magnitude) e/j due to the magnetic confinement. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM Hall effect
*PHONONS
*FERMI liquid theory
Subjects
Details
- Language :
- English
- ISSN :
- 02179849
- Volume :
- 15
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Modern Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 7145869
- Full Text :
- https://doi.org/10.1142/S0217984901002610