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Topological invariant and the quantization of the Hall conductance

Annals of Physics · 1985 · Vol. 160(2) · pp. 343–354

Mahito Kohmoto✉(University of Illinois Urbana-Champaign)

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Quantum and electron transport phenomena Topological Materials and Phenomena Graphene research and applicationsPhysicsBrillouin zoneWave functionQuantization (signal processing)Condensed matter physicsQuantum Hall effectMagnetic fieldConductanceInvariant (physics)Quantum mechanics

Citations

1,051

FWCI

3.05

field-weighted impact

References

15

Percentile

92%

vs. same field & year

Citations per year

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References

Quantized Hall conductivity in two dimensions

Physical review. B, Condensed matter · 1981 · 2,443 citations

Quantized Hall Conductance in a Two-Dimensional Periodic Potential

Physical Review Letters · 1982 · 6,711 citations

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields

Physical review. B, Solid state · 1976 · 3,422 citations

Gravitation, gauge theories and differential geometry

Physics Reports · 1980 · 1,742 citations

New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance

Physical Review Letters · 1980 · 6,869 citations

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