Geometrical Description of the Fractional Quantum Hall Effect

被引:266
作者
Haldane, F. D. M. [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
关键词
EXCITATIONS; FLUID;
D O I
10.1103/PhysRevLett.107.116801
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The fundamental collective degree of freedom of fractional quantum Hall states is identified as a unimodular two-dimensional spatial metric that characterizes the local shape of the correlations of the incompressible fluid. Its quantum fluctuations are controlled by a topologically quantized "`guiding-center spin." Charge fluctuations are proportional to its Gaussian curvature.
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页数:5
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