FRACTIONAL QUANTIZATION OF THE HALL-EFFECT - A HIERARCHY OF INCOMPRESSIBLE QUANTUM FLUID STATES

FRACTIONAL QUANTIZATION OF THE HALL-EFFECT - A HIERARCHY OF INCOMPRESSIBLE QUANTUM FLUID STATES
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DOI:
10.1103/physrevlett.51.605
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发表时间:
1983-01-01
影响因子:
8.6
通讯作者:
HALDANE, FDM
HALDANE, FDM
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
HALDANE, FDM

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利用球面几何,给出了Laughlin提出的二维电子气的”不可压缩量子流体”态的一个几何不变形式,并将其推广到一系列连分数朗道能级填充因子ν.在ν= 2 5、2 7处观测到的异常可解释为源自ν= 1 3母体的流体。
With use of spherical geometry, a translationally invariant version of Laughlin's proposed" incompressible quantum fluid" state of the two-dimensional electron gas is formulated, and extended to a hierarchy of continued-fraction Landau-level filling factors ν. Observed anomalies at ν= 2 5, 2 7 are explained by fluids deriving from a ν= 1 3 parent.