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An electronic system whose motion is quantized in one spatial direction and effectively free in two, so that its low-energy dynamics is two-dimensional.
wp-physics-two-dimensional-electron-gastong-solid-state-physicstong-quantum-hallEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A two-dimensional electron gas specializes an electronic condensed-matter system by strong confinement in one direction, leaving only subband-resolved in-plane motion at relevant energies.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
tong-solid-state-physicstong-quantum-hallEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Landau quantization, disorder, interactions, and sample boundaries can collectively produce integer or fractional quantum Hall regimes; not every two-dimensional electron gas is in such a regime.
The target is a collective, organizational, or scale-dependent phenomenon of the source constituents and interactions; it is not a mere list or classical sum of constituents.
tong-quantum-hall