Abstract
Effects of simultaneous scattering from many scatterers on the level broadening of each Landau level are investigated by assuming short-ranged scatterers. The double-site approximation, which is the direct extension of the single-site approximation, does not give physically reasonable solution of the self-consistency equation which determines the Green's function. Such singular behavior is a result of the incorrect analyticity of the self-energy part and is shown to exist in still higher approximations. At high concentrations of scatterers, an approximate infinite summation of the many-site series gives a reasonable density of states, which has low- and high-energy tails and whose width is effectively smaller than that in the lowest approximation.
Keywords
PhysicsScatteringConsistency (knowledge bases)ElectronBorn approximationExtension (predicate logic)Quantum mechanicsSeries (stratigraphy)Function (biology)Energy (signal processing)Quantum electrodynamicsLandau quantizationQuantumBorn–Huang approximationApproximation errorMathematical analysisMathematics
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Publication Info
- Year
- 1974
- Type
- article
- Volume
- 37
- Issue
- 3
- Pages
- 622-630
- Citations
- 196
- Access
- Closed
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Cite This
Tsuneya Ando
(1974).
Theory of Quantum Transport in a Two-Dimensional Electron System under Magnetic Fields. III. Many-Site Approximation.
Journal of the Physical Society of Japan
, 37
(3)
, 622-630.
https://doi.org/10.1143/jpsj.37.622
Identifiers
- DOI
- 10.1143/jpsj.37.622