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Physical Review B
Volumn 47, Issue 12, 1993, Pages 7312-7343
Theory of the half-filled Landau level
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0001561066     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.47.7312     Document Type: Article
Times cited : (1812)
References (124)
  • 3
    • 84926925972 scopus 로고    scopus 로고
    • Proceedings of the Ninth International Conference on the Electronic Properties of the Two-Dimensional Systems [Surf. Sci. (to be published)]; T. Chakraborty and P. Pietiläinen, The Fractional and Quantum Hall Effect (Springer-Verlag, City, 1988).
  • 47
    • 84926888455 scopus 로고    scopus 로고
    • (private communication). Recent measurements, using a Corbino geometry, have given a larger absolute value of the dc conductivity σxx at ν = 1/2 than the earlier estimates used in an earlier version of our paper. Experimental values of σxx(q)obtained from the surface acoustic wave data have been similarly revised.
    • Willett, R.L.1
  • 66
    • 84926945101 scopus 로고    scopus 로고
    • See also A. A. Pruisken, in The Quantum Hall Effect (Ref. 2);
  • 68
    • 84926888454 scopus 로고    scopus 로고
    • Other applications of the boson representation in quantized Hall systems may be found in Ref. 29.
  • 74
    • 84926888201 scopus 로고    scopus 로고
    • A formal diagrammatic expression in powers of the gauge coupling constant φ tilde and the interaction v (q) may be defined for our system, and calculational rules may be specified, as for the anyon problem discussed in Ref. 40. Here, however, we shall consider only relatively low-order diagrams, so that a full specification of the calculational rules is not needed.
  • 103
    • 84926925949 scopus 로고    scopus 로고
    • See, e.g., M. A. Paalanen et al., Phys. Rev. B (to be published);
  • 123
    • 84926945076 scopus 로고    scopus 로고
    • Our definition has been chosen so that σij( q vec , ω ) is finite in the limit ω -> 0, for any fixed value at q vec, at least in the case of a conventional metal. However, we cannot necessarily identify this limiting value with the low-frequency conductivity σij( q vec ) which determines the surfaces acoustic wave anomaly, because we find, at least in the case Δ B != 0, that there can be structure in σij( q vec , ω ) at a very low frequency ω approx ωmin( q vec ), which we discuss below.

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