Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States

作者: F. D. M. Haldane

DOI: 10.1103/PHYSREVLETT.51.605

关键词: Wave functionComposite fermionPhysicsQuantum mechanicsLaughlin wavefunctionQuantization (physics)Landau quantizationFractional quantum Hall effectMathematical physicsQuantum Hall effectQuantum fluid

摘要: … hole excitations carry a fractional charge e"=+ e/m, and the particles a fractional charge -e*, … I„,=0 as lV- ~: The sphere cannot be tiled with a triangular lattice without …

参考文章(13)
R. B. Laughlin, Quantized Hall conductivity in two dimensions Physical Review B. ,vol. 23, pp. 5632- 5633 ,(1981) , 10.1103/PHYSREVB.23.5632
Lynn Bonsall, A. A. Maradudin, Some static and dynamical properties of a two-dimensional Wigner crystal Physical Review B. ,vol. 15, pp. 1959- 1973 ,(1977) , 10.1103/PHYSREVB.15.1959
D. C. Tsui, H. L. Stormer, A. C. Gossard, Two-Dimensional Magnetotransport in the Extreme Quantum Limit Physical Review Letters. ,vol. 48, pp. 1559- 1562 ,(1982) , 10.1103/PHYSREVLETT.48.1559
H. L. Stormer, A. Chang, D. C. Tsui, J. C. M. Hwang, A. C. Gossard, W. Wiegmann, Fractional Quantization of the Hall Effect Physical Review Letters. ,vol. 50, pp. 1953- 1956 ,(1983) , 10.1103/PHYSREVLETT.50.1953
K. v. Klitzing, G. Dorda, M. Pepper, New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance Physical Review Letters. ,vol. 45, pp. 494- 497 ,(1980) , 10.1103/PHYSREVLETT.45.494
Daijiro Yoshioka, Hidetoshi Fukuyama, Charge Density Wave State of Two-Dimensional Electrons in Strong Magnetic Fields Journal of the Physical Society of Japan. ,vol. 47, pp. 394- 402 ,(1979) , 10.1143/JPSJ.47.394
D. C. Tsui, A. C. Gossard, Resistance standard using quantization of the Hall resistance of GaAs‐AlxGa1−xAs heterostructures Applied Physics Letters. ,vol. 38, pp. 550- 552 ,(1981) , 10.1063/1.92408
R. Chin, H. D. Law, K. Nakano, R. A. Milano, Schottky barrier Ga1−xAlxAs1−ySby alloy avalanche photodetectors Applied Physics Letters. ,vol. 37, pp. 550- 551 ,(1980) , 10.1063/1.91982